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2 years ago

Solve for B and A please help ASAP

Mathematics

1 answer:

Mama L [17]2 years ago

6 0

Answer:

∠A = ∠B = 80°

Step-by-step explanation:

The angles are corresponding angles where a transversal crosses parallel lines, so are congruent. That means ...

∠A = ∠B

8x -8° = 5x +25° . . . . . substitute the given expressions

3x = 33° . . . . . . . . . . . . add 8°-5x

x = 11° . . . . . . . . . . . . . . divide by 3

Then the angles are ...

8·11° -8° = 80°

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2 years ago

Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.

UkoKoshka [18]

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f(x) = -20 $x^{2}$ +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = $\frac{f(x)}{g(y)}$

(f/g)(x) = $\frac{-20x^{2}+14x +12 }{5x - 6}$

Step 1: Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6

f(x) = -2(2x + 1) (5x - 6)

Step 2: Plug in the factors

(f/g)(x) = $\frac{-2 (2x +1)(5x - 6)}{(5x - 6)}$

Step 3: Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

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2 years ago