2 years ago

Write a unit rate for the situation. 1080 miles on 15 gallons Miles per gallon

Mathematics

2 answers:

antiseptic1488 [7]2 years ago

8 0

75 miles per gallon

MissTica2 years ago

7 0

Answer:

72 miles / gallon

Step-by-step explanation:

1080/15 = x/1

1080 / 15 = 72

72 miles on 1 gallon

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Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?

Aleksandr-060686 [28]

<u>Answer</u>

5 and -4

<u>Explanation</u>

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5 or x - 1/2 = - 4.5

x = 4 1/2 + 1/2 x = -4 1/2 + 1/2

= 5 = -4

The values of x are 5 and -4.

8 0

3 years ago

which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2,

ipn [44]

Answer:

B. (6,2) and (3,0)

Step-by-step explanation:

To find the slope the equation is $\frac{y_{2-y_{1} } }{x_{2} -x_{1} }$ so for (6,2) and (3,0) the equation would look like this $\frac{0-2}{3-6}$ which simplies down to $\frac{-2}{-3}$ and a negative divided by a negative is a positive so you're slope is $\frac{2}{3}$ and it matches the question.