Hi there!

There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.

Hope this helps!! :)

6 0

3 years ago

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5 - 2x^2 = -15 solve the question using inverse operations

Butoxors [25]

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

4 0

3 years ago

Mr.Lin is a telemarketer for a carpet-cleaning service. He is paid $100 per week plus $5 for every customer he brings in. If he

OleMash [197]

Answer:

He must bring in 40 or more customers.

Step-by-step explanation:

Let x represent the number of customers that he brings in.

He is paid $100 per week plus $5 for every customer he brings in. This means that if he brings in x customers in a week, the expression for the total amount that he would make is

100 + 5x

If he wants to make $300 or more this week, the expression would be

100 + 5x ≥ 300

5x ≥ 300 - 100

5x ≥ 200

x ≥ 200/5

x ≥ 40

5 0

3 years ago

In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 120 animals at the shelter, how many cats do

Firdavs [7]

Answer:

B) 45 cats

Step-by-step explanation:

3/(3+5) = 3/8

3/8 of the animals are cats

3/8 × 120

6 0

4 years ago

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