Answer: ∠B=70°
Step-by-step explanation:
It is shown in the diagram that ∠A and ∠B is vertical angles.
- Vertical angle theorem: opposite angles are congruent.
<u>Solve:</u>
∠A=∠B
8x+6=4x+38
4x=32
x=8
<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
<h3>
Answer: Choice B. x = 4 and x = 3</h3>
Work Shown:
x^2 - 7x = -12
x^2 - 7x + 12 = 0
(x - 3)(x - 4) = 0 ... see note below
x - 3 = 0 or x - 4 = 0
x = 3 or x = 4
Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.
Answer:
(1)
√(10^2 - 6^2) = 8
SIN(A) = COS(B) = 6/10
COS(A) = SIN(B) = 8/10
(2)
√(9^2 - 5^2) = 2·√14
SIN(A) = COS(B) = 2·√14 / 9 = 2/9·√14
COS(A) = SIN(B) = 5/9
Hello! I believe the answer is 27.71.
I hope this helps!
Hello!
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2 meters(m) = 2000 millimeters (mm)
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Have a great day!
