2 years ago

∠A and \angle B∠B are complementary angles. If m\angle A=(2x+10)^{\circ}∠A=(2x+10)

Mathematics

1 answer:

vlada-n [284]2 years ago

3 0

Answer:

Step-by-step explanation:

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I will appreciate a quick answer

Elan Coil [88]

Answer:

∠SRQ = 75º, ∠TQR = 75º, ∠TSR = 105º, ∠STQ = 105º

Step-by-step explanation:

Since the quadrilaterals are similar, their corresponding angles are the same.

3 0

2 years ago

Find the area of trapezoid JKLM. Round the answer to the nearest tenth.

maksim [4K]

from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.

likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}$