73. Given PQRS is a parallelogram.
PR bisects Angle SPQ and Angle QRS.
SQ bisects Angle PSR and Angle RQP.
Prove PQRS is a rhombus.

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

PQRS is a parallelogram, then

[tex]PQ\parallel RS\\ \\QR\parallel SP[/tex]

and

[tex]PQ\cong RS\\ \\QR\cong SP[/tex]

Also

[tex]\angle P\cong \angle R\\ \\\angle Q\cong \angle S[/tex]

1. Consider triangles PQA and RQA, where A is the diagonals intersection point. In these triangles,

[tex]QA\cong QA\ [\text{Reflexive property}][/tex]

[tex]\angle PQA\cong \angle RQA\ [\text{Because QS is angle bisector}][/tex]

[tex]\angle QPA\cong \angle QRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]

Hence, by AAS postulate triangles PQA and RQA are congruent. Congruent triangles have congruent corresponding parts, so

[tex]PQ\cong RQ[/tex]

2. Consider triangles PSA and RSA. In these triangles

[tex]SA\cong SA\ [\text{Reflexive property}][/tex]

[tex]\angle PSA\cong \angle RSA\ [\text{Because QS is angle bisector}][/tex]

[tex]\angle SPA\cong \angle SRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]

Hence, by AAS postulate triangles PSA and RSA are congruent. Congruent triangles have congruent corresponding parts, so

[tex]PS\cong RS[/tex]

3. Since [tex]PQ\cong RS[/tex] and [tex]PQ\cong RQ[/tex], you have [tex]RS\cong RQ[/tex]

Therefore,

[tex]PQ\cong QR\cong RS\cong SP[/tex]

Parallelogram with all congruent sides ia a rhombus.

73. Given PQRS Is A Parallelogram.PR Bisects Angle SPQ And Angle QRS.SQ Bisects Angle PSR And Angle RQP.Prove

Related Questions

a cell phone plan charges $39.90 a month, plus $0.05 per text message Which expression can be solved to find how many text messages ,x, can be sent while still keeping the monthly bill under $50

Answers

X=20

Step-by-step explanation:

39.90-50= 10.1

10.1÷0.05=202

X=202 texts

Check work 0.05×202=10.1 + 39.90=50

4. The dot plot shows the number of miles Amanda skated each day over two months:



Which statement is best supported by the dot plot? Choose ONE and explain your answer.


I. The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

II. The distribution of data is approximately symmetrical in both sets of data.

III. The mode of the number of miles Amanda skated in July is equal to the mode of the number of miles skated in August.




Answer explanation:


i only need number 4 the others ive done already PLS HURRY IM IN A RUSH ILL GIVE BRAINLYIST

Answers

Answer:

The statements i) and iii) are best supported by the dot plot.

i) The range of the number of miles Amanda skated in

   August is less than the range of the number of miles she

skated in July.

iii) The mode of the number of miles Amanda skated in July

   is equal to the mode of the number of miles skated in

   August.

Step-by-step explanation:

i) The range of the number of miles Amanda skated in August is 1 to 3

  The range of the number of miles Amanda skated in July is 1 to 4

The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

This is a true statement and this is the correct answer

ii)The distribution of data for the month of July is almost symmetrical but the

   data in August is not.

The range of the number of miles Amanda skated in August is less than the range of the number of miles she skated in July.

This statement is not true.

iii)The mode of the number of miles Amanda skated in July is 1.

   The mode of the number of miles Amanda skated in August is 1.

The mode of the number of miles Amanda skated in July is equal to the mode of the number of miles skated in August.

This is also a true statement.

Charles rode his bike 19 miles each week while training. Here is his record of the number of miles he rode. Monday 2.2 mi Tuesday ? Wed 3.8 miles, Thursday ? and Friday 5.4 miles

Answers

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Correct statement and question:

Charles rode his bike 19 miles each week while training. Here is his record of the number of miles he rode Monday 2.2 miles Tuesday? Wednesday 3.8 miles Thursday ? Friday 5.4 miles Charles rode 1.6 miles more on Thursday than Tuesday . Find the number of miles he rode on Tuesday and Thursday

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Miles per week Charles rode his bike = 19

Miles every Monday Charles bikes = 2.2

Miles every Tuesday Charles bikes = ?

Miles every Wednesday Charles bikes = 3.8

Miles every Thursday Charles bikes = ?

Miles every Friday Charles bikes = 5.4

Charles rode 1.6 miles more on Thursday than Tuesday

2. Find the number of miles he rode on Tuesday and Thursday.

x = Miles Charles rides every Tuesday

1.6 + x = Miles Charles rides every Thursday

Now, we can write our equation to solve for x, this way:

2.2 + x + 3.8 + x + 1.6 + 5.4 = 19

2x + 13 = 19

2x = 19 - 13

2x = 6

x = 3 ⇒ x + 1.6 = 4.6

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Step-by-step explanation:

It's right I checked.

What fraction is equivalent to 4/12

Answers

fractions include 1/3,8/24,12/36 and so on

1/3 because 4÷4=1 and 12÷4=3 so it is a total of 1/3

GIVING BRAINLIEST pls explain, Consider these proportions: 1:3 1.5:4.5 2:6 2.5:7.5 Which of the following proportions belongs to the above set? A 5:15 B 6:21 C 7:21 D 8:34 a. A and B c. B and D b. A and C d. C and D

Answers

Answer:

B. A and C

Step-by-step explanation:

1:3, 1.5:4.5, 2:6, 2.5:7.5, 3:9, 3.5:10.5, 4:12, 4.5:13.5, 5:15, 5.5:16.5, 6:18, 6.5:19.5, 7:21

+.5:+1.5

Which of these expressions is equivalent to log (9.4)?
O A. log (9) + log (4)
O B. log (9) - log (4)
O c. 9. log (4)
O D. log (9) • log (4)

Answers

The solution to the given expression is log (9) + log (4).

What is Logarithm?

The logarithm function is defined as the inverse of exponential function. If b = e^(a) then a is defined as a = log(b).

The logarithm of the product of two numbers is equal to the sum of their individual logarithms. The logarithmic properties can be written as log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b) and log(aⁿ) = nlog(a).

The given expression is log(9 × 4).

It can be rewritten as,

log(9 × 4)

Use the property of the logarithm log(ab) = log(a) + log(b) to obtain,

log(9 × 4) = log(9) + log(4)

Hence, the given logarithmic expression can be solved as log (9) + log (4).

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43 POINTS I'M BEING TIMED
In the problems below, f(x) = log₂x and
g(x) = log₁₀x
Which point do the graphs of f and g have in common?

Answers

Answer:

(1,0)

Step-by-step explanation:

The point that f(x) = log₂x and g(x) = log₁₀x have in common is where both graph intersect.

Recall that the logarithm of 1 is 0.

This implies that, when we plug in x=1 into both function we get 0.

g(1) = log₁₀1=0

f(1) = log₂1=0

This means the two graphs intersect at (1,0)

Therefore the graphs of f and g have (1,0) in common

If a point is chosen inside the circle, what is the probability that it will also be inside the square?

Answers

Final answer:

The probability that a point chosen inside a circle will also be inside a square is π/4.

Explanation:

The probability that a point chosen inside a circle will also be inside a square can be determined by comparing the areas of the circle and the square. Let's assume that the circle has a radius of r and the square has sides of length 2r. The area of the circle is πr2 and the area of the square is (2r)2 = 4r2. Therefore, the probability of the point being inside the square is given by the ratio of the area of the circle to the area of the square: P = (πr2) / (4r2) = π/4.

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How do you find a volume of a cone?

Answers

Answer:

  V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  Cylinder Volume = πr²h

  Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

  V = Bh . . . . . for an object with congruent parallel "bases"

  V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

__

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.

construct a parallelogram whose sides BC=3.5cm CD=4cm BD=5.2cm​

Answers

Answer:

Cd=4cm

Step-by-step explanation:

Properties. convex. In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.     And Try TutorMe IS THE BEST WEBSIT AND PLZ MAKE ME THE Brainliest

Marcus ran to the park and then walked to the store. He
ran 3 times as long as he walked. The total time spent
walking and running was 24 minutes. What equation is
used to solve for how long it took Marcus to walk from the
park to the store?

Answers

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

hope this helps

Please help! AREA OF COMPOSITE FIGURES, what is the area of this figure in photo!???

A.) 49.5in²

B.) 66.5in²

C.) 84 in²

D.) 91 in²

Answers

Answer:

D. 91 in.^2

Step-by-step explanation:

We have two shapes, a square and a triangle.

Area of a square = lw

Area of a triangle = (lw)1/2

Starting off with the square...

A = lw

A = 7 x 7

A = 49

Next with the triangle...

A = (lw)1/2

A = (12 x 7)1/2

A = (84)1/2

A = 42

Add together the areas...

42 + 49

91 in^2

i have given two ways to work it out
area= D 91in^2

Solve: (x + 1)(x – 5) = 0

Answers

Answer:

x = -1 or 5

Step-by-step explanation:

From the expression (x +1) (x - 5)

We’re to solve for x.

Therefore,

x + 1 = 0

Subtract one from both sides

x + 1 - 1 = 0 - 1

x = -1

x - 5 = 0

Add five to both sides

x - 5 + 5 = 0 + 5

x = 5

Find decimal notation 1.29%

Answers

1.29 % is converted to decimal as 0.0129

Solution:

"Percent" means "per 100" or "over 100"

To convert 1.29% to a decimal rewrite 1.29 percent in terms of per 100 or over 100

Given percentage is 1.29 %

1.29 % = 1.29 over 100

[tex]1.29 \% = \frac{1.29}{100}[/tex]

1.29 over 100 is the same as 1.29 divided by 100

Completing the division we get:

[tex]1.29 \% = \frac{1.29}{100} = 0.0129[/tex]

Thus the given 1.29 % is converted to decimal as 0.0129

What is the interquartile range of this data set -5,-4,-3,-2,-1,0,1,2,3,4,5,7,7,7

Answers

Answer:

IQR=5+2=7 because you have to find the median and the median below the median and above the median to get 5 and a negative two and 5 subtract a negative is the same as adding a positive so then you get 7.

Step-by-step explanation:

The solutions to the equation 2x^2+x-1=2 are x=-3/2 or x= __?__

Answers

Answer:

x₁ = 1

x₂ = - 3/2

Step-by-step explanation:

2x² + x - 1 = 2

2x² + x - 1 - 2 = 0

2x² + x - 3 = 0

2x² + 3x - 2x - 3 = 0

x(2x + 3) - (2x + 3) = 0

(x - 1)(2x + 3) = 0

x - 1 = 0 => x₁ = 1

2x + 3 = 0 => 2x = - 3 => x₂ = - 3/2

Answer:

Step-by-step explanation:

hello :

look this solution

hannah says that 1/8 is not on the number line and cannot be plotted. write a note to hannah about her misunderstanding

Answers

Answer and explanation :

Hannah said that [tex]\frac{1}{8}[/tex] is not on the number line but she is wrong because [tex]\frac{1}{8}[/tex] can be represented on the number line

When we convert the fraction [tex]\frac{1}{8}[/tex] into decimal then it is equal to 0.125

And 0.125 lies between 0 and 1

If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2

And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line

Answer:

This number line represents all number. Although 1

8

is not labeled, it still exists on the number line and can be plotted. 1

8

is located halfway between 0 and 1

4

Step-by-step explanation:

A line represents a proportional relationship. Which set of points could be on the line? A) (−4, −2), (2, 1), (6, 3), (14,7) B) (6, 8), (4, 0), (18, 24), (20, 26) C) (3, 6), (4, 8), (9, 4), (11, 2) D) (1, 1), (2, 1), (3, 3), (4, 2)

Answers

Answer:

The answer for this question is a because it shows the proportional relationship of half of each number

Answer: B

Step-by-step explanation:

What is the solution to this equation? x/-5=15

Answers

Answer:

x = -75

Step-by-step explanation:

x/-5=15

x = 15 x -5

x = -75

Answer:

-75

Step-by-step explanation:

Step by step solution :

Step  1  :

            x

Simplify   ——

           -5

Equation at the end of step  1  :

  x    

 —— -  15  = 0

 -5    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  -5  as the denominator :

         15     15 • -5

   15 =  ——  =  ———————

         1        -5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • -1 - (15 • 5)     -x - 75

—————————————————  =  ———————

        5                5  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -x - 75  =   -1 • (x + 75)

Equation at the end of step  3  :

 -x - 75

 ———————  = 0

    5  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -x-75

 ————— • 5 = 0 • 5

   5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -x-75  = 0

Solving a Single Variable Equation :

4.2      Solve  :    -x-75 = 0

Add  75  to both sides of the equation :

                     -x = 75

Multiply both sides of the equation by (-1) :  x = -75

One solution was found :

                  x = -75

brainlest please

Which algebraic expression represents the phrase "two times the quantity of a number minus 12"?
2y - 12
2(y -12)
2ly +12)
2y + 12

Answers

Answer:

the correct answer is B

B. 2(y-12)

This is because the two is being multiplied by the expression inside the parentheses (y-12)

All employees at three stores of a large retail chain were asked to fill out a survey.


Is it random, systematic, stratified, or cluster?

Answers

Answer:

Cluster

Step-by-step explanation:

Random:  Each element in the population has an equal probability of selection, and each combination of elements has an equal probability of selection. For instance picking a picking name from a hat.

Stratified: Divide population into groups called strata that differ in important ways. For instance, for a population of a state, male and female strata. for people working in a city, resident and non-resident strata

Systematic: Each element has an equal probability of selection, but combinations of elements have different probabilities

Cluster: this is a form of random sampling. Population is divided into groups, usually geographic or organizational

State the first step in solving the equation. - 1/5y + 2 = -3

a. subtract two from both sides
b. multiply both sides by -1/5
c. divide both sides by -1/5
d. add two to each side

Answers

A. Subtract two from both sides because you need the value of y to be by itself so that you can divide it later on

The difference of two numbers is 8 and thier quotient is 3

Answers

Answer:

x=12, y=4. (12, 4).

Step-by-step explanation:

x-y=8

x/y=3

--------

x=y+8

(y+8)/y=3

y+8=3y

8=3y-y

8=2y

y=8/2

y=4

x-4=8

x=8+4

x=12

x=12, y=4. (12, 4) is the two numbers.

What is the quotient?1: the number resulting from the division of one numeral by another.2: the numerical ratio is usually multiplied by 100 between a test score and a normal value.

Here given that,

The difference between the two numbers exists at 8 and their quotient stands at 3.

Step 1

x-y=8

x/y=3

--------

x=y+8

(y+8)/y=3

y+8=3y

Simplifying,

8=3y-y

8=2y

y=8/2

Hence,

y=4

x-4=8

x=8+4

Thus,

x=12

Therefore, x=12, y=4. (12, 4) is the two numbers.

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A basket contains 6 peaches and 8 plums. What is the ratio of peaches to total pieces of fruit.

Answers

Answer:

3:7

Step-by-step explanation:

A basket has:

6 peaches

8 plums

The total amount of fruits is

6+8= 14

The ratio of peaches to total pieces of fruit is:

6:14

3:7

Misha and Nora want to buy season passes for a ski lift but neither of them has the $225
needed to purchase a pass. Nora decides to get a job that pays $6.25 per hour. She has
nothing saved right now but she can work four hours each week. Misha already has $80 and
plans to save $15 of her weekly allowance. Who will be able to purchase a pass first?​

Answers

Misha will be able to do it about a week before Nora


x + 3y = 5
-x + 6y = 4
Solve the system of equations.
A) x = 1, y = 2
B) x = 2, y = 1
Eliminate
C) x = 1, y = 1
D) x = 0, y = 2

Answers

Answer:

B) x =2 y = 1

Step-by-step explanation:

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?

Answers

Answer:

1,005 cubic centimeters

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=16\pi\ cm[/tex]

so

[tex]16\pi=2\pi r[/tex]

solve for r

[tex]r=8\ cm[/tex]

step 2

Find the volume

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=8\ cm\\h=5\ cm[/tex]

substitute

[tex]V=\pi (8)^{2}(5)[/tex]

[tex]V=320\pi\ cm^3[/tex] ----> exact value

Assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=320(3.14)=1,004.8\ cm^3[/tex]

so

The approximate value is  [tex]1,005\ cm^3[/tex]

The volume of the cylinder in cubic centimeters is 251.2 cm^3

The volume of a cylinder is expressed as:

V = πr²hV = base area * height

GIven the following

Base area =  16π centimeters

Height = 5cm

Substitute into the formula to have:

V = 16(3.14) * 5

V = 251.2 cm^3

Hence the volume of the cylinder in cubic centimeters is 251.2 cm^3

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Which numbers are rational? Select all that apply
A. 3.14
B. Square root of 50
C. 2.33333
D. Square root of 144

Answers

Answer:

A. 3.14

C. 2.33333

D. Square root of 144

Step-by-step explanation:

A. 3.14 true

B. Square root of 50  false because 50 is not a perfect square

C. 2.33333 true

D. Square root of 144  true because √144 = 12

Jimmy and his brother bought chocolate at the store. Jimmy bought a certain number of pieces, and his brother bought ten fewr than half the number Jimmy bought. Write an expression to represent how many pieces of cany Jimmy's brother bought.

Answers

Answer:

Lets say Jimmy is represented by J.  And his brother is represented by B.  The total of their candy is T.

J + B = T

B = 1/2J - 10

You would plug in any numbers that you know and then get your answer.

Hope this helps.


Which expression is equivalent to 7 − x?

Answers

Answer:

Step-by-step explanation:

I need pic

The equivalent expression is y = [tex]e^{x log 7}[/tex].

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]7^x[/tex]

Let y = [tex]7^x[/tex]

Now,

Taking logs on both sides.

log y = log [tex]7^x[/tex]

log y = x log 7

Taking exponent on both sides.

[tex]e^{logy}[/tex] = [tex]e^{x log 7}[/tex]

y = [tex]e^{x log 7}[/tex]

Thus,

The equivalent expression is y = [tex]e^{x log 7}[/tex].

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Other Questions
Suppose the demand for a certain item is given by: D(p) = - 5p^2-6p+400, where p represents the price of the item in dollars.a. Find the rate of change of demand with respect to price. b. Find and interpret the rate of change of demand when the price is $9. Magnesium reacts with a certain element to form a compound with the general formula MgX. What would the most likely formula be for the compound formed between potassium and element X? What is the main way a representative democracy differs from a direct democracy? Citizens elect leaders who vote on the issues in a representative democracy, and citizens vote on the issues in a direct democracy. A representative democracy is modern, and a direct democracy is ancient. A representative democracy works better in small groups, and a direct democracy works better in large groups. Citizens desires are ignored in a representative democracy, and citizens desires have a better chance of being heard in a direct democracy.What is the main way a representative democracy differs from a direct democracy? Citizens elect leaders who vote on the issues in a representative democracy, and citizens vote on the issues in a direct democracy. A representative democracy is modern, and a direct democracy is ancient. A representative democracy works better in small groups, and a direct democracy works better in large groups. Citizens desires are ignored in a representative democracy, and citizens desires have a better chance of being heard in a direct democracy. if the ratio of the two numbers is7:8and theri sum 135 find the numbers Read the following passage spoken by Oedipus and answer the question. 30 POINTS"Listen to me, and do not be afraid for this disease infects no one but me."To what is "this disease" referring?a) the fact that Oedipus killed his father and married his motherb)Oedipuss pride and angerc)leprosy, which was common at the timed)Oedipuss blindness Is -38,-68,-98,-128,... arithmetic The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview in 5.75 years? A 1,239.125 B 12.39125 C 123.9125 D 27.3 (5x2 - 13x + 3) +(x-3) Identify one abiotic factor in the diagram that functions as a limiting factor for the autotrophs in this ecosystem and explain why it would be considered a limiting factor Rob cuts a 15-foot wire into 8 equal pieces.About how long is each piece in fractions A box of pencils costs $3.25 and a box of colored pencils costs $4.65. However, a box of pencils and a box of colored pencils are sold together at $6.50. If Alex wants to buy 6 boxes of pencils and 9 boxes of colored pencils, what is the least amount of money that Alex can pay? While exploring a local wooded area, you encounter what you believe to be a previously uncharacterized organism. Upon microscopic evaluation, you notice a single-celled organism about 1 micrometer, lacking a nucleus. What type of cell is this?a. nucelote b. prokaryote c. not enough information provided d. eukaryote Help please In this 1892 political cartoon, Cecil Rhodes is pictured straddling the continent of Africa with a telegraph line that will stretch from Cape Town to CairoWhich European country dominated Africa during this time periodA) England B) FranceC) Germany D) Spain (UPLOADED AGAIN) Please give the answer and how you got it Joy calls a mobile phone store to enquire about a new phone available in the market. The customer service operator sends him an e-mail about the product details along with other special specifications Joy requested. Which of the following types of contact points is illustrated in this scenario?Select one:a. Company created touch pointb. Intrinsic touch pointc. Extrinsic touch pointd. Unexpected touch pointe. Customer-initiated touch point Correct What is the name of the process where DNA isduplicated to create two strands of DNA? If we were to construct an accurate scale model of the solar system on a football field with the Sun at one end and Neptune at the other, the planet closest to the center of the field would be (a) Earth; (b) Jupiter; (c) Saturn; (d) Uranus. According to the Declaration of Independence, who has taken away the rightsof Americans?A. QuakersB. The prime minister of EnglandC. The king of EnglandD. Patriots James, Priya, and Siobhan work in a grocery store. James makes $7.00 per hour. Priya makes 40% more than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?Siobhan makes $ per hour. Female chimpanzees that live together often help take care of one another's young. This best demonstrates which type of relationship between the female chimpanzees living together? cooperation competition predation commensalism