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Luda [366]
3 years ago
6

The height of a trapezoid is 8 in. and its area is 80 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases? Complete the explanation of how you found your answer.

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:40

Step-by-step explanation:

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segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the
liberstina [14]

Answer:

YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.

Step-by-step explanation:

Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.

6 0
3 years ago
Read 2 more answers
Robert has 60 feet of fence to make a dog pen. He will use the house for one side of the pen, as shown above. What dimensions wi
irinina [24]

The formula for an area of a regular parallelogram is:

A = l * w

Where,

l = length

w = width

We are given that the total measurement of fence is only 60 feet and one side of the house is used as one side of the pen. Therefore,

l + 2 w = 60

<span>or simplifying to make an explicit expression for one  variable, say l:</span>

l = 60 – 2 w

<span>Substituting to the 1st equation:</span>

A = (60 – 2 w) * w

A = 60 w – 2 w^2

<span>The maxima are obtained by getting the 1st derivative then equating dA/dw = 0:</span>

dA/dw = 60 – 4 w

60 – 4 w = 0

4 w = 60

w = 15

Since l = 60 - 2w

l = 60 – 30

l = 30

<span>Therefore the dimension that will make the largest pen is 15 ft by 30 ft.</span>

<span>ANSWER: C</span>

7 0
3 years ago
What is .674 as a percentage?
stiks02 [169]
.674 as a percentage would be 67.4%

To find the percentage of a decimal, move the decimal two places to the right!

I hope this helps! Please thank my answer and mark my answer as the brainliest if it was the most helpful <3

4 0
3 years ago
12 (2 -2)+32 = (x +6) +2
Anestetic [448]

Answer: x = 24

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

<u>Step 1:</u><u> </u><u><em>Remove parentheses.</em></u>

12 (2 − 2) + 32 = x + 6 + 2

<u>Step 2:</u><u> </u><u><em>Simplify 2 − 2 to 0.</em></u>

12 × 0 + 32 = x  + 6 + 2

<u>Step 3:</u><u> </u><u><em>Simplify 12 × 0 to 0.</em></u>

0 + 32 = x +  6 + 2

<u>Step 4:</u><u> </u><u><em>Simplify 0 + 32 to 32.</em></u><em> </em>

32 = x + 6 + 2

<u>Step 5:</u><u> </u>x<u><em> + 6 + 2 to </em></u>x<u><em> + 8.</em></u>

32 = x + 8

<u>Step 6:</u><u> Subtract 8 from both sides.</u>

32 − 8 = x

<u>Step 7:</u><u> Simplify 32 − 8 to 24.</u>

24 = x

<u>Step 8:</u><u> </u><u><em>Switch sides.</em></u>

x = 24

~I hope I helped you! :)~

8 0
3 years ago
Read 2 more answers
Please anyone help!!
12345 [234]
Steps:

Answer: 7000 degrees per second
7 0
1 year ago
Read 2 more answers
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