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3 years ago

If ΔLMN `ΔPON, what is MN?

Mathematics

1 answer:

umka2103 [35]3 years ago

4 0

To find the answer, we need to first understand the feature of similar triangle, where the sides of two triangle would be of the same ratio.

In this case, the equation that can be set to show that they have the same ratio:

MN/ON = LM/OP

LM and OP are used to find the ratio as they are given.

MN/12 = 42/14

MN = (42/14) x 12

MN = 36cm

Therefore, the answe is 36cm.

Hope it helps!

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Find -12.75-5.25=<br> Write your answer as a decimal

tigry1 [53]

Answer:

-18.00

Step-by-step explanation:

-12.75-5.25

Its going to be a negative number since the greatest number is a negative.

Since its both negative signs you add

12.75+5.25=18.00

Now make it negative.

-18.00

Hope this helps!!!

Have a great day!!! :)

4 0

3 years ago

You need to find the distance across a river, so you make a triangle. BC is 943 feet, m∠B=102.9° and m∠C=18.6° . Find AB.

Mrac [35]

Answer:

352.8 ft

Step-by-step explanation:

m∠A = 180° − 102.9° − 18.6° = 58.5°

AB = c and BC = a.

Use law of sines:

c / sin C = a / sin A

c / sin 18.6° = 943 / sin 58.5°

c = 352.8

8 0

3 years ago

Point JJ is located at (5,-3)(5,−3) on the coordinate plane. Point JJ is reflected over the yy-axis to create point J'J ′ . Poin

sesenic [268]

Answer:

$J" = (-5,3)$

Step-by-step explanation:

Given

$J = (5,-3)$

Reflections: over y and x axis to create J"

Required

Determine J"

When reflected over y axis:

$J'(x,y) = J(-x,y)$

We have that:

$J = (5,-3)$

So:

$J(-x,y) = (-5,-3)$

Hence

$J' = (-5,-3)$

When reflected over x axis:

$J"(x,y) = J'(x,-y)$

We have that:

$J' = (-5,-3)$

So:

$J(x,-y) = (-5,3)$

Hence

$J" = (-5,3)$

7 0

3 years ago

Shawn is 5 years older than Rachel. In 8 years the sum of their ages will be 73. How old is Shawn?

goldfiish [28.3K]

subtract 8 from 73 you get 65

3 0

3 years ago

Read 2 more answers

Solve for x: 1/4 (4x + 15) = 24

8_murik_8 [283]

So we have the equation:

$\frac{1}{4} (4x+15)=24$

So we first must multiply both sides by 4 in order to get rid of the $\frac{1}{4}$ on the left side:

$(4x+15)=96$

Then we need to subtract 15 on both sides in order to get the x term by itself on the left side:

$4x=81$

And then to completely solve for x, we need to divide both sides by 4:

$x=20.25$

7 0

3 years ago