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Nataly [62]
2 years ago
8

In the given figure x = 145°. What theorem can be used to prove the lines p and q are parallel?

Mathematics
1 answer:
Gemiola [76]2 years ago
4 0
C alternate exterior angles converse theorem

When two lines are parallel the alternate exterior angles are congruent
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WORTH 15 points! plz IM CRYING I NEED THIS DONE ASAP PLEASEEE
KonstantinChe [14]

The lid will have a base area of 55 1/4 square inches. The long sides of the lid will each have an area of 17 square inches. The short sides of the lid will each have an area of 13 square inches. The total surface area of the lid will be 115 1/4 square inches.

So, for the base, you have w = 6.5 and l = 8.5. Area = 6.5 * 8.5 = 55.25 = 55 1/4.

For the long sides, you have l = 8.5 and h = 2. Area = 8.5 * 2 = 17

For the short sides, you have w = 6.5 and h = 2. Area = 6.5 * 2 = 13

For the total surface area, you have one base which is 55.25, you have two long sides which are 2 * 17 = 34, and you have two short sides which are 2 * 13 = 26. 55.25 + 34 + 26 = 115.25 = 115 1/4.

4 0
3 years ago
When you have an x value of zero in a point like this one (0,8) where is the point located on the graph? When you have a y value
MArishka [77]

Answer:

well I don't have a picture to explain it but (0,8) would be on the y axis and 8 on the x-axis ( it would go up 8 times and stay on the same line)

it would be -3 on the y axis and it wouldn't move up or down (move 3 points to the left)

Step-by-step explanation:

(x,y) when the x is 0 it doesn't move on the x-axis (left or right) and when it is 0 it doesn't move on the y-axis (up or down)

hope that makes sense!

3 0
3 years ago
The angles in a triangle are in the ratio of 5:7:8. Find the measure of each angle.
hammer [34]
In a triangle, the three interior angles always add to 180°

5x + 7x + 8x = 180
20x = 180
x = 180/20
x = 9

m∠1 = 5x = 5*9 = 45°

m∠2 = 7x = 7*9 = 63°

m∠3 = 8x = 8*9 = 72°

Answer:
45°, 63° and 72°
5 0
4 years ago
Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x rep
Ksenya-84 [330]

Answer:

<h2>1.5</h2>

Step-by-step explanation:

We are given two points. Let the points be A and B

A ( 8 , -2 ) ------> ( x1 , y1 )

B ( 12 , 4 ) ------> ( x2 , y2 )

Now, let's find the slope of the given points:

slope \:  =  \frac{y2 - y1}{x2 - x1}

plug the values

=  \frac{4 - ( -2)}{12 - 8}

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

=  \frac{4 + 2}{12 - 8}

Subtract the numbers

=  \frac{4  + 2}{4}

Add the numbers

=  \frac{6}{4}

Reduce the fraction with 2

=  \frac{3}{2}

= 1.5

Hope this helps..

Best regards!!

8 0
3 years ago
Read 2 more answers
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
Katarina [22]

Answer:

12 sales

Step-by-step explanation:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

4 0
3 years ago
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