Answer:
EF , HG , Parallel
Step-by-step explanation:
Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.
Also given that AB was parallel to DC.
Now we have to fill in the certain blanks.
Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.
Also HG is parallel to DC, EFGH is a translated image of ABCD.
Also we are given that AB is parallel to DC. Hence we have following results.
AB║DC
AB║EF
Hence CD║EF
also
CD ║HG
CD║EF
Hence we can come to conclusion that
EF║HG
Hence our answer will be
corresponding segments EF and HG are parallel to each other.
plz help me brainliest to whoever answers first.
Answer:
This is a Question from an Iready test!
Step-by-step explanation:
The right square pyramid shown below has a base measuring 9 inches on each side and a height of 15 inches. What is the volume in cubic inches, of the right square pyramid?
Answer:
405 inches^2
Step-by-step explanation:
V=bh/3
The base would be 81 because 9x9
The height is 15
81x15=1215
1215/3= 405
based on the sample results about what percent of the population prefers reading a hardcopy?
Answer:
about [tex]84\%[/tex]
Step-by-step explanation:
From the given information, the number of readers who prefer hard copy is 4 and the number of people who prefer soft copy is 21.
The sample size is n=25.
The percentage of readers who prefer hard copy [tex]=\frac{21}{25}\times 100\%[/tex]
We simplify this to get:
[tex]=21\times 4\%[/tex]
[tex]=84\%[/tex]
84%
Step-by-step expl
A runner passes the 12-mi point after 2 hours and reaches the 15-mi point 30 minutes later. Assuming a constant rate, find the speed of the runner.
Answer:
6 mph
Step-by-step explanation:
Difference in distance
= 15 - 12
= 3 mi
time taken
= 30 mins
= 1/2 hour
Speed
= 3 ÷ 1/2
= 6 mph
2 (b - 4) > -6 I NEED HELP ASAPPPPPPP
ANSWER
b>1
EXPLANATION
The given inequality is;
2 (b - 4) > -6
Expand the parenthesis to get,
2b-8>-6
2b>-6+8
Simplify the right hand side.
2b>2
Divide both sides by:
b>1
2. A new car is for lease for $419 per month with a
down payment of $738. What is the cost for 36
months for this vehicle?
$15,084
$1,157
$41,652
$26,987
$15,822
$15,822 is the correct answer, you multiply 36 by $419 and add the down payment of $738
$15,822. first you multiply $419 x 36 to get 15,084. then you add the down payment
Plzzzzz help I really need it
Answer:
The data set with the greater range is the girls, the greatest medium is also the girls.
Step-by-step explanation:
The range of the boys is 60-120
while the range of the girls is 70-150
The medium of the boys is 90,
the medium of the girls is 110 (as it is between 100 and 120 so the medium is 110)
A farmer sells carrots and squash. A customer buys 1 pound of carrots and 1.5 ponds of squash for $7.00. Another customer buys 4.5 pounds of carrots and 1.75 pounds of squash for $14.00. Enter the price in dollars for 1 pound of carrots
Answer:
$1.75
Step-by-step explanation:
1 pound of carrot and 1.5 pounds of squash cost $7.00.
1c + 1.5s = 7 ----------------- [ 1 ]
4.5 pounds of carrot and 1.75 pound of squash cost $14.00.
4.5c + 1.75s = 14 ----------------- [ 2 ]
[ 1 ] x 4.5:
4.5c + 6.75s = 31.5 ----------------- [ 1a ]
[1a] - [2]:
5s = 17.5
s = $3.50
Sub s = 3.5 into [ 1 ]:
1c + 1.5 (3.5) = 7
1c + 5.25 = 7
1c = $1.75
By setting up and solving a system of linear equations based on the purchases made by two customers, we calculated the price of carrots to be $2.00 per pound.
Explanation:To determine the price per pound for carrots, we can set up a system of linear equations based on the provided information and solve it. Let 'c' represent the cost per pound of carrots and 's' represent the cost per pound of squash.
Equation 1: c + 1.5s = $7.00 from the first customer's purchase.Equation 2: 4.5c + 1.75s = $14.00 from the second customer's purchase.Multiplying Equation 1 by 3 gives us:
3c + 4.5s = $21.00Now, let's subtract Equation 2 from this new equation to eliminate 's' and solve for 'c'.
3c + 4.5s - (4.5c + 1.75s) = $21.00 - $14.00-1.5c + 2.75s = $7.00-1.5c = $7.00 - 2.75sSince 4.5c + 1.75s = $14.00, let's solve for 's'.1.75s = $14.00 - 4.5cs = ($14.00 - 4.5c) / 1.75Now we replace 's' in the -1.5c term:-1.5c = $7.00 - 2.75(($14.00 - 4.5c) / 1.75)-1.5c = $7.00 - (2.75 × $8.00) / 1.75 + (2.75 × 4.5c) / 1.75-1.5c + (2.75 × 4.5c) / 1.75 = $7.00 - $8.00c(4.5 × 2.75 / 1.75 - 1.5) = -$1.00c = -$1.00 / (4.5 × 2.75 / 1.75 - 1.5)Calculate the right side to find the price per pound for carrots.After calculating, we find that c = $2.00 per pound for carrots.
12.2 surface area backside
Answer:
SA = 250 pi
SA = 785 in^2
Step-by-step explanation:
Givens
d = 10
h = 20
r = d/2
Formula
r = d/2
r = 10/2
r = 5
SA = 2*pi*r^2 + pi*d*h
Solution
SA = 2 * pi * 5^2 + pi * 10 * 20
SA = 2 * 25 *pi + pi * 200
SA = 50 pi + 200 pi
SA = 250*pi
This is one answer.
The second is 250 * 3.14
SA = 785 in^2
Just drew an isosceles triangle. One side of the triangle was 5 inches long. The other side of the triangle was 8inches long
Answer:
13
Step-by-step explanation:
If you said one side was 5 inches long anf the other side was 8 add thoes up u get 13
Find the area of the shaded sector. Leave your answer in terms of pie
ANSWER
The area of the shaded sector is
[tex]Area =\pi \: {in}^{2} [/tex]
EXPLANATION
The area of a sector is calculated using the formula,
[tex]Area = \frac{central \: angle}{360 \degree} \: \times \pi \: {r}^{2} [/tex]
Fro the diagram, the central angle is 90°
The radius of the circle is 2 in.
[tex]Area = \frac{90 \degree}{360 \degree} \: \times \pi \: {2}^{2} {in}^{2} [/tex]
[tex]Area = \frac{1}{4} \: \times \pi \: 4 {in}^{2} [/tex]
This finally simplifies to
[tex]Area =\pi \: {in}^{2} [/tex]
Answer:
Area of shaded region = 3.14 in²
Step-by-step explanation:
Formula:-
Area of circle = πr²
Where 'r' is the radius of circle
It is given a circle with radius 2 in.
To find the area of circle
Here r = 2 in
Area = πr² = 3.14 * 2² = 12.56 in²
To find the area of shaded region
Here central angle of sector = 90°
area of sector= (90/360) * area of circle
= (1/4)12.56 = 3.14 in²
Eli,Freda and geoff where given £800 to share in the ratio of there ages
Eli is 9 years old
Freda is 13 year's old
And Geoff is 18 year's old
How much will they get each
Answer:
see explanation
Step-by-step explanation:
The ratio received = 9 : 13 : 18
Sum the parts of the ratio 9 + 13 + 18 = 40
Divide the amount by 40 to find the value of one part of the ratio
[tex]\frac{800}{40}[/tex] = £20 ← value of 1 part of ratio
Eli gets 9 × £20 = £180
Freda gets 13 × £20 = £260
Geoff gets 18 × £20 = £360
To divide £800 between Eli, Freda and Geoff based on their ages, we need to find the ratio of their ages and divide the total amount by this ratio. Eli will get £180, Freda will get £260, and Geoff will get £360.
Explanation:To find out how much each person will get, we need to divide the total amount of money by the sum of their ages in the given ratio.
The sum of their ages is 9 + 13 + 18 = 40.
The ratio is 9:13:18.
To divide £800 according to this ratio, we can first find the total number of parts in the ratio by adding the ratios together: 9 + 13 + 18 = 40. Then we can find the value of each part by dividing the total amount of money by the sum of the ratios: £800 / 40 = £20. Finally, we can find how much each person will get by multiplying their age in the ratio by the value of each part. Eli gets 9 parts: 9 * £20 = £180. Freda gets 13 parts: 13 * £20 = £260. Geoff gets 18 parts: 18 * £20 = £360.Learn more about Dividing money in a ratio here:
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The total number, n, of employees at a company depends on the company's yearly gross profits according to the equation n=10p+20, where p is the yearly gross profit in millions of dollars. If the yearly gross profit declined from 20 million dollars to 15 million dollars, what was the decrease in the number of employees?
Answer:
50
Step-by-step explanation:
In the expression [tex]n=10p+20,[/tex] p represents the yearly gross profit in millions of dollars and n represents the total number of employees.
When the yearly gross profit was 20 million dollars, then the number of employees was
[tex]n=10\cdot 20+20=200+20=220.[/tex]
When the yearly gross profit was 15 million dollars, then the number of employees was
[tex]n=10\cdot 15+20=150+20=170.[/tex]
Hence, the decrease in the number of employees is
[tex]220-170=50.[/tex]
Boats from all along the Atlantic coast were moored at a busy marina one summer day. Of the 14 boats at the marina, 7 were from Rhode Island.
What is the probability that a randomly selected boat will be from Rhode Island?
Simplify your answer and write it as a fraction or whole number.
P(Rhode Island) =
The probability of selecting a boat from Rhode Island is 7 out of 14, which simplifies to 1/2, or 50%. There's an equal chance of picking a boat from Rhode Island as not.
Explanation:The probability of selecting a boat from Rhode Island at the marina is calculated by dividing the number of Rhode Island boats by the total number of boats.
There are 7 boats from Rhode Island and 14 boats in total.
Therefore, the probability is 7 out of 14, which simplifies to 1/2 when reduced.
This can also be written as a decimal, 0.5, or a percentage, 50%, indicating that there is an equal chance of selecting a Rhode Island boat as there is of selecting a boat from another place.
Thus, there's an equal chance of picking a boat from Rhode Island as not.
Final answer:
The probability that a randomly selected boat will be from Rhode Island is 1/2.
Explanation:
To calculate the probability that a randomly selected boat at the marina is from Rhode Island, we use the basic probability formula:
Probability (P) of an event = (Number of favorable outcomes) / (Total number of possible outcomes)
Given that there are 7 boats from Rhode Island and a total of 14 boats at the marina, the probability (P) that a randomly selected boat is from Rhode Island is:
P(Rhode Island) = 7 / 14 = 1/2.
Therefore, the simplified fraction representing the probability is 1/2.
What is the value of y
Answer:
50
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
We can use the alternating interior angles theorem to determine that 50 and y are congruent.
Therefore the measure of angle y is 50.
A team has won 15 of 27 games that it has played what fraction of games have they won?A team has won 15 of the 27 games that he has played what fraction of games have they won?
15/27 but if you want to simplify it it’s 5/9
High temperatures were recorded for 30 consecutive days:
50, 45, 49, 50, 43, 49, 50, 49, 45, 49, 47, 47, 44, 51, 51, 44, 47, 46, 50, 44, 51, 49, 43, 43, 49, 45, 46, 45, 51, 46.
What is the range for the data set shown?
A)
8
B)
9
C)
30
D)
51
Answer:
The range is A,8.
Step-by-step explanation:
Range means to subtract the lowest value in the set from the highest value.
The lowest value is 43.
The highest value is 51.
subtract the two(51-43).
=8
hope this helps :)
What is the answer to all the q's
******WILL GIVE BRAINLIST******
Answer:
1. F
2. T
3. T
4. T
Step-by-step explanation:
Let's break down the definitions.
Quadrilateral - A polygon with 4 sides
Square - A quadrilateral with 4 equal sides and 90 degree angles
Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles
Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles
Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles
Now let's look at the questions.
Does every 4 sided figure have equal sides? - No
Is a rectangle with 4 equal sides a square? - Yes
Is every parallelogram with 4 equal sides a parallelogram? - Yes
Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes
Question 1 - False, rectangle is not a square if it has a different length or width
Question 2 - True, square can also be a rectangle as long as there are four congruent sides
Question 3 - True, rhombus is a parallelogram
Question 4 - True, square can be also known as a rectangle
Let f(x)=x^4-3x^3+5x use synthetic substitution to find f(-2)
Answer:
f(-2) = 30Step-by-step explanation:
[tex]f(x)=x^4-3x^3+5x=1x^4-3x^3+0x^2+5x+0[/tex]
The Remainder Theorem states that when we divide a polynomial f(x)
by x − a the remainder R equals f(a).
a = -2
Syntetic substitution.
1. Write only the coefficients of x in the dividend inside an upside-down division symbol.
[tex]\underline{\begin{array}{c|ccccccc}\ &1&-3&0&5&0\\\ \end{array}}[/tex]
2. Put the divisor at the left.
[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ \end{array}}[/tex]
3. Drop the first coefficient of the dividend below the division symbol.
[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ \end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1\end{array}[/tex]
4. Multiply the drop-down by the divisor, and put the result in the next column.
[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1\end{array}[/tex]
5. Add down the column.
[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1&-5\end{array}[/tex]
6. Repeat 4 and 5 until you can go no farther
[tex]\underline{\begin{array}{c|ccccccc}-2&1&-3&0&5&0\\\ &&-2&10&-20&30\end{array}}\\\begin{array}{ccccccccc}\ \ \ \ &1&-5&10&-15&30\end{array}[/tex]
The remainder is 30, so f(-2) = 30.
Check:
[tex]f(x)=x^4-3x^3+5x\\\\f(-2)=(-2)^4-3(-2)^3+5(-2)=16-3(-8)-10=16+24-10=30[/tex]
The endpoints of segment PQ are P(-3,1) and Q(4,25) find the length of the segment PQ
PQ^2=(X2-X1)+(Y2-Y1)^2
PQ^2=(4+3)^2+(25-1)^2
PQ^2=625
PQ=25 unit
The length of the segment PQ is 25 units.
How to find the distance between two points?It can be calculated by using the distance formula.Distance formula consists of the coordinates of points on the graph.
Given: Segment PQ
P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)
We have to find the length of the segment PQ.
Length of the segment PQ can be found by using the distance formula.
⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]
⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]
⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]
⇒ PQ = [tex]\sqrt{49+576}[/tex]
⇒ PQ = [tex]\sqrt{625}[/tex]
⇒ PQ = 25 units
Therefore, the length of the segment PQ is 25 units.
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What is 2.685 in word form?
Answer: two point six eight five
Step-by-step explanation:
Answer: two and six hundred and eighty five thousands
jim ate 1/4 of a candy bar. his brother ate 2/4 of a candy bar how much of the candy bar is left
[tex]\frac{4}{4}total[/tex]
[tex]\frac{4}{4} - (\frac{2}{4} + \frac{1}{4} )[/tex]
[tex]\frac{4}{4} - \frac{3}{4} = \frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the candy bar is remaining
1/4 of the candy bar is left.
First, let's add up the fractions of the candy bar that Jim and his brother ate:
Jim ate = 1/4
his brother ate = 2/4.
To find out how much they ate in total, we add these fractions:
1/4 + 2/4
= 3/4
So, they ate a total of 3/4 of the candy bar.
Now, to find out how much of the candy bar is left, we subtract the total amount they ate from 1 (the whole candy bar):
1 - 3/4
= 1/4
So, 1/4 of the candy bar is left.
What is the Area of this triangle when x=10 inches? Hint: Area= 1/2bh
height(h) = 7x
base(b) = 4x
Since you know the value of x, you can plug it in
h = 7(10) = 70in
b = 4(10) = 40in
[tex]A = \frac{1}{2}bh[/tex]
[tex]A=\frac{1}{2} (40)(70)[/tex]
[tex]A=\frac{1}{2} (2800)[/tex]
A = 1400in²
I need help on solving this, thank you
Answer:
Monday:
40 minutes
Tuesday:
80 minutes
Wednesday:
60 minutes
Step-by-step explanation:
x + 2x + (1/2)(x + 2x) = 180
4.5x = 180
x = 40 minutes
d) What is the measure of ∠H? Explain. (1 point)
Answer:
105 degrees
Step-by-step explanation:
The measure of angle H from the given figure is 67.5 degree.
What is vertical angle theorem?Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
Given that measure of angle F is 67.5°
The angles formed when two lines cross each other are known as vertical angles. Vertically opposite angles are the opposing angles created by these lines.
In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
From the given figure,
∠F=∠H (Vertically opposite angles are equal)
Angle F= Angle H=67.5°
So, angle H is 67.5 degree
Therefore, the measure of angle H is 67.5 degree.
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"Your question is incomplete, probably the complete question/missing part is:"
The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠H?
Jasmine is painting a rectangular wall in her bedroom that has a base of 12 feet and a height of 8 feet. There is a square window on the wall with a side length of 3 feet. She has enough paint to cover 90 square feet. Does she have enough paint? Explain your reasoning.
pls help (there are NO options)
Answer:
Yes, she has enough paint, since she does not need to paint the window. The area that needs to be painted is only 87 ft², and she has enough paint for 90 ft².
Step-by-step explanation:
Area of the wall (including window)
= 12 x 8
= 96 ft²
Area of the window
= 3 x 3
= 9 ft²
Area of the wall that needs to be covered with paint
= 96 - 9
= 87 ft²
Answer:
Yes, she has enough paint. The area to be painted is the area of the wall minus the area of the window. A = (12)(8) = 96; A = (3)(3) = 9; area to be painted: 96 – 9 = 87 square feet.
Which of the following describes the parabola with the equation y=-x^2-3x+6
Step-by-step explanation:
use photomath for math problems and it give you step by step
Parabola defined by the equation y = -x² - 3x + 6 will be represented by the picture attached.
Equation of the parabola given in the question is,
y = -x² - 3x + 6
Convert this equation in the vertex form, [y = a(x - h)² + k, here (h, k) is the vertex of the parabola]
y = -x² - 2(1.5)x - (1.5)² + (1.5)² + 6
= -(x + 1.5)²+ (1.5)² + 6
= -(x + 1.5)² + 2.25 + 6
= -(x + 1.5)² + 8.25
From this equation vertex of the parabola will be (-1.5, 8.25).
Leading coefficient 'a' = -1 (negative)
y - intercept of the equation → y = -(0 - 1.5)² + 8.25
y = 6
x- intercept of the equation → 0 = -(x - 1.5)² + 8.25
(x - 1.5) = √8.25
x = 1.372, -4.372
Therefore, parabola will open downwards (a is negative), y-intercept (0, 6) and x-intercepts as (-4.372, 0), (1.372, 0) and vertex as (1.5, 8.25).
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which expression is equivalent to the one below? 5^x
Answers (multiple choice)
A. 5*5^(x-1)
B. 15^x/3
C. 15^x/3^x
D. (15/3)^x
E. 5*5^(x+1)
F. x^5
Answer:
A, B and D.
Step-by-step explanation:
A: because 5* 5^(x-1) = 5^(x - 1 + 1) = 5^x.
B. 15^x / 3 = 5^x
D. (15/3)^x = 5^x.
( Note C = 5 , E = 5^(x+2) and x^5 not = 5^x.)
Final answer:
The equivalent expressions to 5^x are 5*5^(x-1), 15^x/3^x, and (15/3)^x. These follow the rules of adding exponents when multiplying with the same base and raising an entire factor to a power.
Explanation:
The student has asked which expression is equivalent to 5x. To find expressions equivalent to exponents, we use rules such as the product of powers, which states that when multiplying expressions that have the same base, we can add their exponents (e.g., 5a imes 5b = 5a+b). Similarly, to raise an exponential factor to a power, we multiply the exponent by the power.
Looking at the given options:
Option A: 5 imes 5x-1 can also be written as 51 imes 5x-1 which simplifies to 5x after adding the exponents (1 + (x-1) = x).Option B: 15x/3 is incorrect because when simplified, it does not have the base of 5.Option C: 15x/3x breaks down to (15/3)x and simplifies to 5x.Option D: (15/3)x simplifies directly to 5x.Option E: 5 imes 5x+1 results in a power greater than x for the base 5, thus is not equivalent.Option F: x5 is not equivalent as the base and the exponent are switched compared to the original expression.Therefore, the correct answers are options A, C, and D, each demonstrating different properties of exponents.
Find the equation in the form y=mx+b that models line (2,3) and (0,4)
Answer:
y = (-1/2)x + 4Step-by-step explanation:
Moving from (0, 4) to (2, 3), we see x increasing by 2 from 0 to 2 and y decreasing by 1 from 4 to 3.
Thus, the slope of this line is m = rise / run = -1/2.
Starting with y = mx + b, we substitute 0 for x, 4 for y and -1/2 for b, obtaining:
4 = (-1/2)(0) + b. Therefore, b = 4, and the desired equation is:
y = (-1/2)x + 4
Solve 63 minus X equals 62 for x
Answer:
x=1
Step-by-step explanation:
This stuff is quite easy in reality. Here's a little example including your numbers.
[tex]63-x=62; solve for x\\\\63-x-63=62-63\\\\-x=1\\[/tex]
by this point we are left with simplifying it. Since it's a double negative we get a positive. Thus x=1