Answer:
1) X = 10 Therefore, 10 + 2 + 10 = 22.
2) B = 2 Therefore, 15 = 8(2) - 5 + 2(2)
3) B = -0.9 Therefore, -10 + 4(3(-0.9) + 10) = 19.
Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
The rest of the question is the attached figure
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solution:
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As show in the attached figure
∠M = ∠R = 54.4°
∠N = ∠T = 71.2°
∠O = 180° - (∠M + ∠N) = 180° - (54.4°+71.2°) = 54.4°
∠S = 180° - (∠R + ∠T) = 180° - (54.4°+71.2°) = 54.4°
∠O = ∠S = 36°
∴ Δ MNO is similar to Δ RTS
So, the correct statement:
The triangles each have two given angle measures and one unknown angle measure.
Answer:
1 and 3
Step-by-step explanation:
Part a: 1 and 3
part b: x = −22
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Answer:
-4,3.5
Step-by-step explanation:
1st one
x-2x-20 = 12
-x = 32
x=-4
2nd one
-15=15q-50 - 5q
35= 10q
q = 3.5