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DIA [1.3K]
3 years ago
5

Find the value of x in the figure below if RE is parallel to PM.

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

Option C. 7.2 units

Step-by-step explanation:

we know that

triangle PAM is similar to triangle RAE by AA Similarity Theorem

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{PA}{RA}=\frac{AM}{AE}

substitute the given values

\frac{20+x}{20}=\frac{25+9}{25}

solve for x

\frac{20+x}{20}=\frac{34}{25}

20+x=\frac{34}{25}(20)

x=\frac{34}{25}(20)-20

x=7.2\ units

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A man that is 6 feet tall is standing so that the tip of his shadow is 20 feet from a light pole. His shadow is 8 feet long. Wha
pychu [463]

Answer:

The answer to your question is: the height of the light pole is 15 ft.

Step-by-step explanation:

See the picture below

Now, we can do proportions to finds the height of the light pole

                   \frac{20}{8} =  \frac{x}{6}

Solve for x

                      x = 6(20) / 8

                     x = 120 / 8

                     x = 15 ft

                   

4 0
3 years ago
Find the exact area of the sector of the circle with the following radius and central angle
Lostsunrise [7]
THe area of the whole circle is pi r^2  = 6^2 * pi = 36pi

There are 360 degrees in a crcle so this sectors area i (30/360) *36pi

=  3 pi
5 0
3 years ago
Melinda rod her bike 54/100 mile to the library. then she rode 4/10 mile to the store. how far did Melinda ride her bike in all?
Lady_Fox [76]
94/100 miles is the answer. I dont know what form you wanted the answer in but yeah.
3 0
3 years ago
NEED HELP FAST!!!!! The graph below compares plant height to the age of the plant, in weeks. Y=1.3x-0.8 Based on the graph, whic
salantis [7]

Answer:

C) 6 inches

Step-by-step explanation:

Given function:

Y=1.3x-0.8

The function compares plant height in inches to the age of plant in weeks.

So, we can say

Y represents height of plant in inches.

x represents age of the plant in weeks.

In order to predict the height of the plant in 5 weeks, we will plugin x=5 in the given function and evaluate Y

⇒ Y=1.3(5)-0.8

⇒ Y=6.5-0.8

⇒ Y=5.7 inches

Thus the approximate height of plant in 5 weeks would be \approx 6 inches

7 0
3 years ago
Read 2 more answers
-5/3 is greater or less than square root of 3
inessss [21]

Answer:

-5/3 is less than (<) square root of 3

Step-by-step explanation:

-5/3 = -1.66666...

square root of 3=1.73205080...

either way the square root would be greater because the answer cant be negative. And negative is always less then a positive.

Hope this helps!

3 0
4 years ago
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