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defon
3 years ago
12

Given that M is the midpoint of L and P. If LP=4x-1, LM=8, find x and LP

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

LP = 16 units (8 + 8)

x = 4.25 units

Step-by-step explanation:

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If AC=18x-7,find the x. Round to the nearest hundredth if necessary <br>AB=7x+29 <br>BC=30​
Margaret [11]

Answer:

x=6

Step-by-step explanation:

AC = AB + BC

18x-7=(7x+29)+30

18x-7=7x+29+30

18x-7=7x+59

Add 7 to both sides:

18x-7+7=7x+59+7

18x=7x+66

Subtract 7x from both sides:

11x=66

Divide both sides by 11:

\frac{11x}{11}=\frac{66}{11}

x=6

6 0
3 years ago
Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)
Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

5 0
3 years ago
I need the perimeter and area ​
kirza4 [7]

Answer:

P: 32

A: 63

Step-by-step explanation:

I hope that thats right..

6 0
3 years ago
What is the quotient of 2/3 : 4 in simplest form? ​
weeeeeb [17]

Answer:

1/6

Step-by-step explanation:

2/3 divided by 4= 2/3 x 1/4

2/3 x 1/4=2/12

2/12 simplifies to 1/6

4 0
2 years ago
Ethan’s favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 time
Basile [38]

Answer:

10.5 miles

Step-by-step explanation:

You multiply the distance with the number of times he ran.

7 0
3 years ago
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