( 69 POINTS!!! ANSWER PLEASE!!! , WILL MARK AS BRAINLIEST IF U GIVE AN EXPLANTION AND NOT LIKE JUST THE ANSWER =.= )

2 answers:

8 0

Okay so process of elimination. The first option isn't correct because the sum of the interior angles for any triangle is always 180 degrees. x would be 25 degrees for ABC because 90+65=155 and 180-155=25. Y would be 95 degrees for DEF because 65+20=85 and 180-85=95, so y does not equal 90 degrees. For B, No side lengths are given. C is also not the correct answer so the answer is D. I can link you to another brainly post that has the same question or a similar with an explanation on determining the answer if you'd like :)

Mademuasel [1]4 years ago

3 0

I hope this might help!

We know that the triangles are not similar. If they were, they would have the same angles. The interior angles are not congruent. We can rule out choice "B" and "C". Just because they have one equal angle does not make them similar. We can rule out "D".

"A" is the best answer.

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Given that WA = 5x – 8 and WC = 3x + 2, find WB. A. WB = 5 B. WB = 8 C. WB = 10 D. WB = 17

rodikova [14]

The rest of the question is the attached figure.
============================================
Δ AYW a right triangle at Y ⇒⇒⇒ ∴ WA² = AY² + YW²
And AY = YB ⇒⇒⇒ ∴ WA² = YB² + YW² → (1)
Δ BYW a right triangle at Y ⇒⇒⇒ ∴ WB² = BY² + YW² → (2)
From (1) , (2) ⇒⇒⇒ ∴ WA = WB →→ (3)
Δ CXW a right triangle at Y ⇒⇒⇒ ∴ WC² = CX² + XW²
And CX = XB ⇒⇒⇒ ∴ WC² = XB² + XW² → (4)
Δ BXW a right triangle at Y ⇒⇒⇒ ∴ WB² = XB² + XW² → (5)
From (4) , (5) ⇒⇒⇒ ∴ WC = WB →→ (6)
From (3) , (6)
WA = WB = WC
given ⇒⇒⇒ WA = 5x – 8 and WC = 3x + 2
∴ <span> 5x – 8 = 3x + 2</span>
Solve for x ⇒⇒⇒ ∴ x = 5
∴ WB = WA = WC = 3*5 + 2 = 17

The correct answer is option D. WB = 17