MATHEMATICS MIDDLE SCHOOL

Let JK be the median of LMBA. Find JK, m∠A and m∠ALM

Answers

Answer 1

Answer:

Answer:

JK = 83 , m∠A = 70° , m∠ALM = 110°

Step-by-step explanation:

* Lets explain how to solve the problem

∵ ABCD is a trapezoid

∴ DC // AB

∴ m∠D + m∠A = 180° ⇒ interior supplementary angles

∵ m∠D = 110°

∴ 110° + m∠A = 180° ⇒ subtract 110° from both sides

∴ m∠A = 70°

∵ L is the midpoint of AD, and M is the midpoint of BC

∴ LM is the median of trapezoid ABCD

∴ LM // AB and DC

∴ m∠D = m∠ALM ⇒ corresponding angles

∵ m∠D = 110°

∴ m∠ ALM = 110°

- The length of the median is half the sum of the lengths of the two

parallel bases

∴ LM = 1/2 (AB + DC)

∵ AB = 96 units and DC = 44 units

∴ LM = 1/2 (96 + 44) = 1/2 (140) = 70 units

- In the quadrilateral ABML

∵ AB // LM

∵ AL ≠ BM

∴ ABML is a trapezoid

∵ JK is its median

∴ JK = 1/2 (AB + LM)

∵ AB = 96 units ⇒ given

∵ LM = 70 units ⇒ proved

∴ JK = 1/2 (96 + 70) = 1/2 (166) = 83

∴ JK = 83 units

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Answers

you need to put 1 over 1 then you have your answer

Answer:

20 million

Step-by-step explanation:

Given : The human population doubles approximately every 50 years

To Find: If there were 2.5 million people in 1950 how many people are forecasted to populate the earth in 2100

Solution:

Equation for growth =

where a is the initial amount

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x denotes the time

A.T.Q

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The pyramid has a volume of 972 cubic inches. What are the dimensions of the pyramid?

Answers

Hi there! :) The answer I got is

Base Length: 12

Base Width: 5

Pyramid Height: 48.6

( I am sorry if it is the answer is wrong. If it is right mark as Brainliest!:) Thank you!;) )

Hope I helped! :D

Yep he is right. =) sorry i couldn't get here in time.

Need help

Explain how you would find 32% of 25? Please provide your answer.

Answers

Answer: 8

Step-by-step explanation:

.32 x 25 = 8

Answer:

0.32 x 25 = 8

Step-by-step explanation:

Just put the percentage into decimal form and multiply it!

Solve the equation 91 = 43 + x. Explain your answer.On Monday, Jessica runs on a track at her school. Each day from Tuesday
through Friday, she runs 1 1/2 miles in a park. The total distance she runs for the
week is 8 miles. Solve the equation m + 4(11/2) = 8 to find the number of miles, m,
Jessica runs on Monday. Explain your answer.
Please help me out on these two questions I’ve been stuck for about 15 minutes

Answers

Answer:

Step-by-step explanation:

The first question:

91 = 43 + x

x = 91 - 43

x = 48

By using transposing method

Second question:

Answer:

Step-by-step explanation:

Second Question : M+4(1 1/2)

= 4x 1 1/2

= 3/2 x 4/1 = 12/2 = 6

= M+6 = 8

= 2 + 6 = 8

M = 2

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