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My name is Ann [436]
3 years ago
9

MN and KL are parallel. If JM=9, MK=45, and LN=40, what is NJ?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer: NJ = 8

Step-by-step explanation:

Given: In triangle JKL , MN is a line segment parallel to KL intersects the other sides into two distinct points at M and N.

The basic proportionality theorem says that a line is parallel to a side of a triangle which intersects the other sides into two different points then the line divides those sides in proportion.

So by basic proportionality theorem we have :-

\frac{JM}{MK}=\frac{NJ}{LN}\\\\\Rightarrow\frac{9}{45}=\frac{NJ}{40}\\\\\Rightarrow NJ=\frac{40}{5}\\\\\Rightarrow NJ=8

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5 0
3 years ago
Solve for w -24=-3w+21
svlad2 [7]

Answer:

w = 11.25

Step-by-step explanation:

To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.

w - 24 = -3w + 21

To do this, we should first add 24 to both sides of the equation.

w - 24 + 24 = -3w +21 + 24

If we simplify, we get:

w =  -3w + 45

Next, we should add 3w to both sides of the equation.

w + 3w = -3w + 3w + 45

4w = 45

Finally, we can divide both sides by 4.

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Hope this helps!

3 0
3 years ago
On Wednesday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers sold
hjlf

Answer:

134

Step-by-step explanation:

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6 0
3 years ago
A plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane​
serious [3.7K]

Answer:

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Step-by-step explanation:

\frac{x}{420}=\frac{85}{100} (The \frac{85}{100} is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: \frac{x}{21}=\frac{85}{5} which is \frac{x}{21}=17

Finally, multiply 17 by 21 to get x.

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Answer:

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3 0
2 years ago
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