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slavikrds [6]
3 years ago
15

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics
2 answers:
marin [14]3 years ago
8 0

Answer:

165

Step-by-step explanation:

The formula for finding the area of a trapezoid is (a+b)/2*h

a= longer side

b= shorter side

h=height

Filling in the values:

(21+12)/2*10

21+12=33

33/2=16.5

16.5*10= 165

The area of the trapezoid is 165

rewona [7]3 years ago
6 0
I am pretty sure the answer is 2,520.
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tigry1 [53]

ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.

<h3>What is the CPCTC Theorem?</h3>

If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.

Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)

∠RSP ≅ ∠QSP [right angles] (one pair of congruent included angles)

SP ≅ SP based on the reflexive property (one pair of congruent sides)

Therefore, ΔRSP ≅ ΔQSP by SAS.

Conclusively, PR ≅ PQ by CPCTC theorem.

Learn more about the CPCTC theorem on:

brainly.com/question/6076251

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Step-by-step explanation:

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