1. Find Angle A :
Angle A :
2. Find Angle B :
Angle B :
Find Angle C :
Angle C :
Find Angle D :
Angle D :
And it's given :
- 36° = Angle A = B
- 63° = Angle B = A
- 71° = Angle C = H
- 111° = Angle D = E
Therefore, the answer will be " BAHE "
Sam draws three pairs of vertical angles and measures them. What is a reasonable conjecture for Sam to make by recognizing a pat
tern and using inductive reasoning?
a) Vertical angles are supplementary.
b) Vertical angles are congruent.
c) Vertical angles are complementary.
d) Vertical angles are acute.
a) Vertical angles are supplementary.
b) Vertical angles are congruent.
c) Vertical angles are complementary.
d) Vertical angles are acute.
2 answers:
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1. Domain.
We have
in the denominator, so:
![x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\ (x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}](https://tex.z-dn.net/?f=x%5E2-2x-3%5Cneq0%5C%5C%5C%5C%28x%5E2-2x%2B1%29-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-2%5E2%5Cneq0%5Cqquad%5Cqquad%5B%5Ctext%7Buse%20%7Da%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D%5C%5C%5C%5C%28x-1-2%29%28x-1%2B2%29%5Cneq0%5C%5C%5C%5C%0A%28x-3%29%28x%2B1%29%5Cneq0%5C%5C%5C%5C%5Cboxed%7Bx%5Cneq3%5Cqquad%5Cwedge%5Cqquad%20x%5Cneq-1%7D)
So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.
2. Asymptotes:
We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
We have
So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.
2. Asymptotes:
We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
Answer:
<h2>4.5</h2>Step-by-step explanation:
Move constant to R.H.S and change its sign
Subtract the numbers
Divide both sides of the equation by 2
Calculate
Hope this helps..
Best regards!!