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Kisachek [45]
2 years ago
13

You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can

Mathematics
1 answer:
Tanzania [10]2 years ago
5 0

Answer:

  1. 33°
  2. 90° -J°

Step-by-step explanation:

<h3>1)</h3>

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

__

<h3>2)</h3>

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

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[Algebra 2] Find the quotient with the necessary restrictions.​
Tatiana [17]

Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)²   This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0
3 years ago
What is the range of the function on the graph?
Ainat [17]
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4 0
3 years ago
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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find the length of the angle bisector of an
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Answer: the length of the angle bisector of angle ∠A is 6 ft

Step-by-step explanation:

The diagram of the right angle triangle ABC is shown in the attached photo

Looking at triangle ABC,

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The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.

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Therefore,

Cos 33.69 = 5/AD

AD × Cos 33.69 = 5

AD = 5/Cos 33.69 = 5/0.832

AD = 6 ft

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