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3 years ago

The area of a kite is 116.25 ft2, one diagonal measures 18.6 ft, find the measure of the other diagonal.

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

Answer:

The answer is 12.5 feet

Step-by-step explanation:

A kite is in the shape of a Rhombus.

The surface of a Rhombus is calculated using the following formula:

$A=p*q/2$

A is the surface and we know it's 116.25 ft2

p is one diagonal and we know it's 18.6 ft

q is the diagonal we do not know

So, we get:

$116.25=18.6*q/2$

we can then calculate

$2*116.25=18.6*q$

that is:

$232.50=18.6*q$

therefore the other diagonal q is:

q=232.50/18.6

q=12.5

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3 years ago

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algol [13]

Answer:

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3 years ago

The difference of the same side angles of two parallel lines is 35°. Find all angles

Pavel [41]

<h3>Answer:</h3>

All acute angles are 72.5°; all obtuse angles are 107.5°.

<h3>Explanation:</h3>

Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...

... o + a = 180

... o - a = 35

Adding these two equations gives ...

... 2o = 215

... 215/2 = o = 107.5 . . . . degrees

Then the other angle is ...

... a = 107.5 - 35 = 72.5 . . . . degrees

_____

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