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Mathematics

1 answer:

Rasek [7]2 years ago

6 0

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72 [subtract both sides by 6x]

4x+24=72 [subtract both sides by 24]

4x=48 [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

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Lorenzo and his family were on a road trip. His parents told him that they drove 252 miles during the first 312 hours of the tri

Elis [28]

Answer: 6.19 miles

Step-by-step explanation:

1): First you have to divide 312 by 252 to get the miles per hour.

312 / 252 = 1.23

2): Secondly, multiple 1.23 by 5 hours

5 x 1.23 = 6.19

7 0

3 years ago

Find four consecutive even integers whose sum is 84. Find the integers.

mina [271]

Suppose the integers are n , n+2 , n+4 and n+6.
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
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4 0

3 years ago

The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by