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Aloiza [94]
3 years ago
6

Given: ∠A and ∠B are complementary angles.

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

 - For the statement -3x=24, the reason is: <em>Subtraction property of Equality</em>

- For the statement x=-8, the reason is: <em>Division property of Equality.</em>

- For the statement m\angle B=-6(-8)-39, the reason is: <em>Substitution property of Equality.</em>

Step-by-step explanation:

The missing pictures are attached.

We must remember that:

- The Subtraction property of Equality states that:

If\ a=b,\ then\ a+c=b+c

- The Division property of Equality states that:

If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}

- The Substitution property of Equality states that:

 If\ a=b,\ then\ b\ can\ replace\ a

Knowing this properties we can identify the missing reasons that correctly complete the proof.

 - For the statement -3x=24, the reason is:

Subtraction property of Equality

(Because it is obtained by subtracting  66 from both sides of -3x+66=90)

- For the statement x=-8, the reason is:

Division property of Equality

(Because it is obtained by dividing both sides of  -3x=24 by -3)

- For the statement m\angle B=-6(-8)-39, the reason is:

Substitution property of Equality

(Because it is obtained by substituting the value of "x" into   m\angle B=-6x-39)

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Factor completely x^2 + 8x + 15.<br> O (x+3)(x+5)<br> O (x+3)(x-5)<br> O X+1)(x+15)<br> O(x+1)(x-15)
Maksim231197 [3]

Answer:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

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x -3<0 and x -5<0

x< 3 and x< 5

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3 years ago
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