What is the area of this figure? Enter your answer as a decimal in the box. cm²
1 answer:
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The angle 5x will be 50⁰. Then the correct option is D.
<h3>What is a parallelogram?</h3>It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The diagram is given below.
We know the sum of internal angles is 360 degrees.
Then we have
5x + 130 + 5x + 130 = 360
10x = 100
x = 10
Then the angle 5x will be
5x = 5(10)
5x = 50⁰
Then the correct option is D.
More about the parallelogram link is given below.
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Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
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tan48° = =
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a = ≈ 16.2 ( to the nearest tenth )
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sin48° = =
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c = ≈ 24.2 ( to the nearest tenth )