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Jobisdone [24]
3 years ago
10

a trapezoid with an area of 166.75 in has bases that measure 21in and 8 in find the height of the trapezoid

Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

height = 11.5 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here a = 21, b = 8 and A = 166.75, hence

\frac{1}{2} h(21 + 8) = 166.75

Multiply both sides by 2 to eliminate the fraction

29h = 333.5 ( divide both sides by 29 )

h = 11.5 in

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HELP ASAP!!
Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.


3 0
3 years ago
Read 2 more answers
A DVD player with a list price of $100 is marked down
dsp73

Answer:

$56

Step-by-step explanation:

100 - (100(0.30)) = 100 - 30 = 70

70 - (70(0.20)) = 70 - 14  = 56

5 0
3 years ago
Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new eng
Simora [160]

Option A) 14/250 = N/350 is correct.

Kevin wants to change the engine in her car. The current engine is 250 cubic centimeters and has a 14 inch fan belt. The new engine is 350 cubic centimeters and has proportionally larger fan belt.

<h3>What is proportionality?</h3>

proportionality can be defined as, how much the number is relatable to other number i.e. x =2y x is two times proportion to y.

Hence, in the question
for 250 cc engine it has 14 inch belt
for 350 cc engine it has N inch belt(let)
proportionality can be given as
14 ∝ 250
N ∝ 350
dividing both equation
N/14=350/250
or 14/250=N/350

Thus, the required proportion is given as 14/250=N/350.

Learn more about proportionality here:
brainly.com/question/8598338

#SPJ2

5 0
2 years ago
Read 2 more answers
What is -3.5 as a fraction
Alex_Xolod [135]
-7/2 (seven halves) .
5 0
3 years ago
The diameter of a circle is 1034 inches.
Murrr4er [49]

Answer:

517

Step-by-step explanation:

The radius of a circle is just half of the diameter (1/2d = r)

1034/2 = 517

7 0
2 years ago
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