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VMariaS [17]
2 years ago
13

Two questions in picture! Need help!

Mathematics
1 answer:
kkurt [141]2 years ago
5 0

Answer:

1) C) sin(θ) = 119/169

2) D) cos(θ) = 120/169

Step-by-step explanation:

The mnemonic SOH CAH TOA expresses the relationships you need for answering these questions.

Sin(θ) = Opposite/Hypotenuse = 119/169 . . . . . problem 1

Cos(θ) = Adjacent/Hypotenuse = 120/169 . . . . problem 2

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A, (2,5) and (-2,5) are reflections of each other on the x axis

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Find the sum of (x + 5) and (2x + 3) *<br><br> A) 9x + 1<br> B) 5x + 2<br> C) 8x + 3<br> D) 3x + 8
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Answer:

D

Step-by-step explanation:

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Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles. It is given that ∠EIJ ≅ ∠GJI. Also, ∠EIJ
Dima020 [189]

Answer:

1st blank: substitution property of equality

2nd blank: linear pair theorem

3rd blank: substitution property of equality

Step-by-step explanation:

<u>1st blank</u>

∠EIJ ≅ ∠GJI (eq. 1)

∠EIJ ≅ ∠IKL (eq. 2)

∠GJI ≅ ∠JLK (eq. 3)

Substituting eq. 3 into eq. 1:

∠EIJ ≅ ∠JLK

and then, substituting eq. 2:

∠IKL ≅ ∠JLK

which means that m∠IKL = m∠JLK

<u>2nd blank</u>

The Linear Pair Theorem states that two angles that form a linear pair are supplementary

<u>3rd blank</u>

m∠JLK + m∠JLD = 180°

Substituting with the previous result:

m∠IKL + m∠JLD = 180°

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