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3 years ago

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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I need help. Of the make sense of the problem section. Please

uranmaximum [27]

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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.

4w/4 = 45/4

w = 11.25

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:

357 passengers

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.

Therefore, x=357

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3 years ago

Solve the simultaneous equation y = x^2 and y = 3x - 2

gayaneshka [121]

Answer:

${x}^{2} = 3x - 2 \\ {x}^{2} - 3x + 2 = 0 \\ (x - 1)(x - 2) = 0 \\ x = 1 \: or \: x = 2 \\ for \: x \: = 1 \\ \: y = {(1)}^{2} = 1 \\ for \: x = 2 \\ y = {(2)}^{2} = 4$

3 0

2 years ago