Base your answer to the following question on the diagram shown and the given information.

Base Your Answer To The Following Question On The Diagram Shown And The Given Information.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

1. Line l is cut by line a (let it be named a, because the figure doesn't show its name). Angles 1 and 6 are vertical, so they are congruent.

2.  Line m is cut by line a. Angles 3 and 8 are vertical, so they are congruent.

3. Parallel lines l and m are cut by transversal a. Angles 6 and 3 are congruent as alternate interior angles.

Hence,

[tex]3x+25=4x-17,\\ \\3x-4x=-17-25,\\ \\-x=-42,\\ \\x=42^{\circ}.[/tex]

4. The measure of angle 6 is

[tex]3x+25=3\cdot 42+25=126+25=151^{\circ}.[/tex]

5. Angles 6 and 2 are supplementary angles, so they add up to 180°:

∠2=180°-∠6=180°-151°=29°


Related Questions

Need help with thisssssss

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is length and w is width )

given w = 63, then

2l + (2 × 63) = 324

2l + 126 = 324 ( subtract 126 from both sides )

2l = 198 ( divide both sides by 2 )

l = 99 m ← length of garden

-----------------------------------------------------------------

The area of a rectangle = lw ( l is length and w is width )

given l = 94, then

94w = 5828 ( divide both sides by 94 )

w = 62 cm ← width of window

find the percent 133% of 140

Answers

The answer would be 186.2.

Answer:

The correct answer is  133% of 140  = 186.2

Step-by-step explanation:

Points to remember

X % of Y is given by

(X/100)*Y

To find 133 % of 140

We have to find 133 % of 140,

According to the formula we can write,

133% of 140 = (133/100) * 140

 = 1.33 * 140

 = 186.2

133% of 140 = 186.2

Therefore the correct answer is  133% of 140  = 186.2

help me pls
this is 20 characters now btw brainly

Answers

Answer: I believe the correct answer is A. Because 2/3 is negative so it belongs on the negative side of the number line. And 5/3 is positive so it belongs on the positive of the number line.

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∞ 234483279c20∞

ashley has 1.75 liters of water to use in a science experiment.If she pours equal amount of water in each 5 beaker, how many milliliters of water will be in each beaker?​

Answers

Simply divide 1.75 by 5 to find that 0.35 mL of water will be in each beaker.

A chef made 30 donuts in 60 minutes. How long would it take him to
make 90 donuts?

Answers

[tex]\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180[/tex]

Answer: 180 minutes

Step-by-step explanation:

Cross multiply

90*60 = 5400

5400/30 = 180

what is the quotient of the synthetic division problem below written in polynomial form?

Answers

Answer:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

Step-by-step explanation:

Let's perform the indicated synthetic division:

3  )   -2   15   -22   -15

                6    63   123

   -----------------------------

        -2    21    41     108

We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

ANSWER

D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

EXPLANATION

We perform the synthetic division to get:

-2 15 -22 -15

3| -6 27 15

-2 9 5 0

From the synthetic division problem;

The coefficient of the quotient are the first three numbers.

-2, 9, 5

The last number 0 is the remainder

Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.

Therefore the quotient is:

[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism? Enter your answer in the box. ft³

Answers

For this case we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

According to the data we have:

[tex]length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}[/tex]

[tex]width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}[/tex]

Then:

[tex]A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}[/tex]

Thus, the volume is:

[tex]V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875[/tex]

Answer:

[tex]76.875 \ ft ^ 3[/tex]

10 ounces of spicy popcorn is 2.50. write an equation that represents this equation. use p for ounces of popcorn and c for cost in dollars.

Answers

Answer:

CP/P

Step-by-step explanation:

E.g Q.If 10 ounces of spicy popcorn is $2.50, how much is 20 ounces?

     A.10 ounces=$2.50    

        20 ounces=?20x2.50/10=$5  

So, the cost of 20 ounces of spicy popcorn is $5

Answers:

c=0.25p

p=4c

c=.25p

c=1/4p

Determine which of the following expressions can be factored to (x+ 2)(x +2)

Answers

(x+2)(x+2)

x^2+2x+2x+4

x^2+4x+4

Answer : C ( x^2+4x+4)

Answer:

C. x2+4x+4

Step-by-step explanation:

If you multiply it out:

(x)(x) + 2x + 2x + 2(2)

x2 + 4x + 4

pLEASE HELP! If z varies inversely as w, and z=5 when w=8, find z when w=10

Answers

z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.

This exercise is an example of  reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=5 when w=8

z.w=k -------> 5.8=k -------> k=40

So, let's find z when w = 10. With k = 40

z.w=K, clear z from the equation

z=k/w -------> z=40/10 -----> z=4

Final answer:

To find z when w = 10 in an inverse variation equation, we can use the equation z = k/w. By substituting the given values and solving for the constant of variation, we find that when w = 10, z = 4.

Explanation:

To find the value of z when w is 10, we need to use the inverse variation equation. Inverse variation is represented by the equation z = k/w, where k is the constant of variation.

Given that z = 5 when w = 8, we can substitute these values into the equation to find k. 5 = k/8. Solving for k, we get k = 40.

Now, we can substitute the value of k and w = 10 into the equation z = k/w. z = 40/10 = 4. Therefore, when w = 10, z = 4.

At 10:00 AM a truck started traveling from point A with a speed of 40mph. 3 hours and 10 minutes later a car started to drive from point A in the same direction with an average speed of 60mph. At what time will the car catch up with the truck?

Answers

Answer:

12:07 pm

Step-by-step explanation:

The question is on relative speed

Calculate the distance covered by truck after 3hours and 10 minutes

Given; speed of truck= 40mph

Time the truck took to travel before the car started to drive from point A= 3h 10 minutes

Change hours to minutes= (60×3) + 10 = 190 minutes

Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time

if S=d/t then distance d=S×t

d= 40×190/60 =380/3 =126.67 miles

Finding the time the car catch up with the truck

t=d/S where d=126.67 miles and speed of car = 60mph

t= 126.67/60 = 2.11 hours

Change hours to minutes

1 hr=60minutes

2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes

t⇒2 hrs 7minutes

Add to the departure  time

10.00 + 2: 07 = 12:07 pm

Please help! Select the correct ordered pairs in the table.

Answers

Answer:

(-4, -12) (1, -2) (2, -18)

Step-by-step explanation:

We have a grade 3 polymial function.

We know that the function has a minimum at the point

(-3, -18).

If this is the minimum of the function then this means that when  [tex]x <-3[/tex]  the function is decreasing and when  [tex]x> -3[/tex]  the function is growing.

Look in the table for ordered pairs with values of x less than -3.

The only point is (-4, -12).

Then the function has a maximum in  ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])

This means that when  [tex]x> \frac{1}{3}[/tex]  the function is decreasing and when  [tex]x< \frac{1}{3}[/tex]  the function is growing.

Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]

We have

(1, -2) (2, -18)

Finally the ordered pairs in which the function decreases are:

(-4, -12) (1, -2) (2, -18)

Observe the attached image.

Help!!!!! Not the top one by the way..!

Answers

Answer:

[tex]\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}[/tex]

A circular pizza with a diameter of 12 inches is cut along radii into three wedge-shaped slices. The measure of two of the central angles are 80 degrees and 130 degrees. What is the number of square inches in the area of the largest slice? (express your answer in terms of pi)

Answers

Answer:

A = 15π in²

Step-by-step explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr²  →  A = π(6 in)²  =  36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²

Can someone help me please

Answers

The answer is phoenix is located at (-7,-10) it is written like this because you always have the x coordinate then the y coordinate

Answer:

From the Information provided by the graph shown above, i can conclude that Phoenix's location on the graph is (-7,-10)

Find the area of a rectangle whose side lengths are 4x*2and 6x*2-3

Answers

Answer:

24x^4- 12x^2  or 12x^2 (2x^2-1)

Step-by-step explanation:

We are given the length and width of the rectangle:

Length=l=4x^2

and

Width=w=6x^2-3

The formula for the area of rectangle is:

Area=length*width

Area=l*w

Putting the values of l and w into the formula:

area=(4x^2 )(6x^2-3)

=24x^(2+2)-12x^2

=24x^4- 12x^2

It can also be written as: taking 12x^2 as common:

=12x^2 (2x^2-1)

Is the fraction 1/4 equal to 2.5

Answers

Answer: No, 1/4 is equal to 0.25

Step-by-step explanation:

1/4

= 0.25

= 25%

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Answer:

no it is 1/4 is equal to .25 and 2.5 is 5/2

Step-by-step explanation:

What is the rate of increase for the function f(x)= 1/3 (^3 √24)^2x

Answers

Answer

You need to simplify the function first until the exponent turns into a plain x. Step 1 Leave 1/3 alone that is the a value, initial value. You are looking for the base

Step 2 Deal with the parenthesis. Factor 24 and you will get 2 and the cube of 3. 

Step 3 Separate the exponent (2) (x)

Step 4 Now square each term inside the parenthesis

2 squared and cube of 3 square  the 2^2 will be 4, the other expression means  cube of 3 times cube of 3 and that's cube of 9

Step 5 Your base should be (4 cube of 9)

f'(x) = C, indicating a constant rate of increase.

The function given is f(x) = (1/3) * ((³√24)²) * x.

To find the rate of increase (or the derivative of this function), we need to rewrite the function in a simpler form. Firstly, simplify the constant:

(1/3) * ((³√24)²) * x can be simplified as a single constant C.

Let's break it down:

³√24 = 24¹/³, so (³√24)² = (24¹/³)² = 24²/³.

Next, we multiply this by 1/3:

C = (1/3) * 24²/³

Now the function becomes:

f(x) = C * x

This is a linear function where C is a constant coefficient. Therefore, the rate of increase (or the derivative) of f(x) with respect to x is just the constant C.

We then find the derivative:

f'(x) = C

As there are no x terms left, the rate of increase is constant and equal to C, which is (1/3)*24²/³.

what is the absolute value of 1.7​

Answers

Answer:

|1.7| = 1.7

Step-by-step explanation:

Definition of absolute value:

|a| = a if a ≥ 0

|a| = -a if a < 0

Examples:

|2| = 2

|-2| = -(-2) = 2

|0.45| = 0.45

|-0.45| = -(-0.45) = 0.45

|1000| = 1000

|-1000| = 1000

Therefore

|1.7| = 1.7

what is the interquartile range of 2 5 9 11 18 30 42 55 58 73 81

Answers

Answer:

49.

Step-by-step explanation:

The number of bacteria in a petri dish doubles
each hour. There were initially 300 bacteria in the
dish. When the scientist checked again there were
4,800 bacteria. How much time passed?

Answers

Answer:

4 hours

Step-by-step explanation:

The exponential growth equation is given by

y = a (b)^(x)

where a is the initial value, b is the growth rate and x is the time from the initial value

We know the initial value is 300 and the growth rate is 2

y = 300 (2)^(x)

We want to know the time when we have 4800 bacteria

4800=300 *2^(x)

Divide each side by 300

4800/300 = 300/300 * 2^(x)

16 = 2^(x)

Rewrite 16 as a power of 2

2^4 = 2^(x)

x=4

It will take 4 hours

1Kg of grapes cost 5.80 Meagan buys 700 grames of grapes how much does she pay

Answers

Meagan pay 4.60

Step-by-step explanation:

1kg------5.80

700g----X

700x5.80=4.60/1=4.60

Final answer:

To find the cost of 700 grams of grapes, divide the cost of 1 kilogram by 1000 to get the price per gram, then multiply by 700. Meagan pays $4.06 for 700 grams of grapes.

Explanation:

To calculate how much Meagan pays for 700 grams of grapes when 1 kilogram (1000 grams) of grapes costs $5.80, we first find out the cost per gram. Then we multiply the cost per gram by the amount of grams Meagan is buying.

The cost per gram is: $5.80 / 1000 grams = $0.0058 per gram.

So for 700 grams, Meagan pays: $0.0058 per gram × 700 grams = $4.06.

Therefore, the cost of 700 grams of grapes is $4.06.

Will mark brainliest and will give 15 points!!!!

There are 7 people on the ballot for regional judges. voters can choose to vote for 0,1,2, or 3 judges. In how many different ways can a person vote?

Answers

Answer:

There is 1 way to vote for 0 people. There are 8 ways to vote for 1 person. There are 8⋅7/ 2 ways to vote for 2 people. There are 8⋅7⋅6 /2⋅3 ways to vote for 3 people. There are 8⋅7⋅6⋅5/ 2⋅3⋅4 ways to vote for 4 people. This is all because you can choose people but there are ways you can order the people.  

Does this help

A car rental company charges $29 per day to rent a car and $0.15 per mile driven.

a) Write a rule for the total bill B as a function of the number of miles m the car is driven.

b) What is the bill for a 2-day rental if you drove 205 miles?

Answers

Answer:

A) C = 29*d + 0.15*m

B) C = $88.75

Step-by-step explanation:

Givens

Let the cost of the rental = C

Let the most of the daily rental = d

Let the cost of the mileage driven = m

Equation

Cost = 29*d + 0.15*m

C = 29*d + 0.15m

Part B

d = 2

m = 205

C = ?

C = 29*2 + 205*0.15

C = 58 + 30.75

C = $88.75

what is the measure of secant dc​

Answers

Answer:

CD = 3

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

CB × CA = CD × CE , that is

4 × (4 + 6.5) = CD × 14

4 × 10.5 = 14CD

42 = 14CD ( divide both sides by 14 )

CD = 3

What is a1 for the geometric sequence for which a8= -3584 and a3 = 112 ?

Answers

Answer:

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence , [tex]a_8=-3584[/tex]

and 3rd term of Geometric Sequence, [tex]a_3=112[/tex]

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

[tex]a_n=ar^{n-1}[/tex]

So,

[tex]\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}[/tex]

[tex]\frac{r^{7}}{r^{2}}=-32[/tex]

[tex]r^5=-32[/tex]

[tex]r=-2[/tex]

So, [tex]a_3=112[/tex]

[tex]a\times(-2)^{2}=112[/tex]

[tex]a=\frac{112}{4}=28[/tex]

Therefore, The first term is 28.

help me only on thang to do.... :O :)

Answers

It is:

Any number that is less than 3.5 is a solution

There are infinite number of solutions.

The  graph with a white colored dot

I hope I get brainly on both questions :)

( complex number )

i^223 is equal to?

Answers

[tex]\(i^{223}\)[/tex] is equal to -i.

To find the value of [tex]\(i^{223}\)[/tex], we can use the cycle of powers of i:

[tex]\(i^1 = i\), \(i^2 = -1\), \(i^3 = -i\)[/tex], and [tex]\(i^4 = 1\)[/tex]

The powers of i repeat every four steps.

Therefore, we can express [tex]\(i^{223}\)[/tex] in terms of [tex]\(i^4\)[/tex]:

[tex]\[i^{223} = (i^4)^{55} \cdot i^3\][/tex]

Since [tex]\(i^4 = 1\)[/tex] and [tex]\(i^3 = -i\)[/tex], we have:

[tex]\[i^{223} = 1^{55} \cdot (-i) = -i\][/tex]

Kyle is finding the area of this figure using a rectangle and a triangle. What is the area of the figure?

A) 315 cm2
B) 405 cm2
C) 90 cm2
D) 325 cm2

Answers

Answer:

B

Step-by-step explanation:

15*21=315

12*15=180

180/2=90

315+90=405

Carmen was hired as a salaried computer programmer for $42,000 per year. What is her bi-weekly (26 weeks) salary? Question 1 options: A: $3,500.00 B: $1,000.00 C: $807.69 D: $1,615.38

Answers

Answer:

Option D: $1,615.38

Step-by-step explanation:

we know that

1 year=52 weeks

so

Calculate the bi-weekly salary

Divide the total salary by 26 weeks

$42,000/26=$1,615.38

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