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3 years ago

Choose two angles that are each separately alternate exterior angles with 412.

Mathematics

1 answer:

Alborosie3 years ago

6 0

Answer:

∠2 and ∠5

Step-by-step explanation:

we know that

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

In this problem

∠12 and ∠2 are alternate exterior angles

∠12 and ∠5 are alternate exterior angles

therefore

∠2 and ∠5 are each separately alternate exterior angles with ∠12

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I need help with this math problem

den301095 [7]

Answer:

1). $\frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}$

2). $\frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}$

Step-by-step explanation:

In this question we have to write the fractions in the factored form.

Rational expressions are $\frac{2}{x^{2}-x-12 }$ and $\frac{1}{x^{2}-16 }$ .

1). $\frac{2}{x^{2}-x-12 }$

Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12

= x(x - 4) + 3(x - 4)

= (x + 3)(x - 4)

Therefore. $\frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}$

2). $\frac{1}{x^{2}-16 }$

Factored form of the denominator (x² - 16) = (x - 4)(x + 4)

[Since (a²- b²) = (a - b)(a + b)]

Therefore, $\frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}$

8 0

3 years ago

The local muffler replacement shop charges $75 for parts and $25 per hour for labor. Write a expresstion with parentheses to des

ziro4ka [17]

Answer:

Step-by-step explanation:

75+ 25x

75+25(4)

75+100

175

6 0

3 years ago

Using the order of operations, what should be done first to evaluate 12 divided by (negative 6) (3) + (negative 2)? Divide 12 by

koban [17]

12 / (-6)(3) + (-2)

First divide 12 by -6

3 0

3 years ago

Read 2 more answers

Help me pls! (Dot plots) Answer F G H. (Median and range)

skad [1K]

Answer:

F. Last season median was 2, this season median was 5

G. The range last season and this season are the same: 8

H. This season was Paula's best. Her median score per game was 5, and she scored as many as 9 points in a game. (If you've discussed mean and mode in class, here's more info) Her mean score (average score) last season was 3.41, and this season was 5. Also, her mode (score she recorded most often) this season was 5, compared to last season's mode of 2.

Step-by-step explanation:

Last season data set:

0, 1, 1, 2, 2, 2, 2, 4, 5, 7, 7, 8

median: 2

range: 8 - 0 = 8

mean: 3.41 points per game

mode: 2 points per game

This season data set:

1, 2, 2, 3, 5, 5, 5, 5, 7, 8, 8, 9

median: 5

range: 9 - 1 = 8

mean: 5

mode: 5 points per game

Let me know if you have any questions.

8 0

3 years ago

SOLVE FOR X -5x + 9 = 24

boyakko [2]

Answer:

x = -3

Step-by-step explanation:

-5x + 9 = 24

move the nine to the other side

-5x = 15

divide

x = -3

7 0

3 years ago