Which expressions are equivalent to (13x+2x−53x)−(−13x+5) ?
1 answer:
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Answer:
The correct answer is 25
Step-by-step explanation:
See the attached figure.
SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.
So, if ΔONM similar ΔSRQ by the SAS similarity theorem
∴∠N = ∠R
And
given that NM = 10 , NO = 8 , QR = x , RS = 20
∴
∴
So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25
Answer:
x = 10, y = 10
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = , cos60° =
, then
sin60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
cos60° = =
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10