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Maurinko [17]
2 years ago
8

PLEASE HELP FOR 100 POINTS AND BRAINLIEST! Find the unknown measures. Round lengths to the nearest hundredth and angle measures

to the nearest degree.
BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°

BC ≈ 1.28; AB ≈ 2.52; m∠C = 117°

BC ≈ 1.28; AB ≈ 2.52; m∠C = 27°

BC ≈ 2.52; AB ≈ 1.28; m∠C = 117°

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
3 0

Answer:

A. BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°

B. BC ≈ 1.28; AB ≈ 2.52; m∠C = 27°

C. BC ≈ 2.52; AB ≈ 1.28; m∠C = 117°

D. BC ≈ 1.28; AB ≈ 2.52; m∠C = 117°

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Step-by-step explanation:

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Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

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