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3 years ago

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

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

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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Given the triangle that has a base of five less than triple the height. The height is 2x+6.

Deffense [45]

Answer:

Step-by-step explanation:

H = 2x+6 - the hight

3H = 3(2x+6) - triple the hight

3H-5 = 3(2x+6) - 5 - five less than triple the height

Area of triangle: A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

A = 6x² + 49x + 78

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3 years ago

Ratio equivalent to 1:3

Margaret [11]

2:6

3:9

4:12

These are all equivilant

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3 years ago

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if you roll a standard six-sided die what is the probability that you get a one or a five give your answer as a simplified fract

kondor19780726 [428]

Answer:

2/6 - simplified fraction=1/3

Step-by-step explanation:

5 0

3 years ago

Find the missing angle measure. then classify the triangle by its angles and by its sides.

iren [92.7K]

Answer:

Part a) The measure of the missing angle is $90\°$

Part b) The triangle of the figure is a right triangle

Part c) The triangle of the figure is a scalene triangle

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle is equal to $180\°$

Let

x------> the missing angle

we know that

$x\°+50\°+40\°=180\°$

solve for x

$x=180\°-90\°=90\°$

The triangle of the figure is a right triangle --------> by its angles

Because the triangle has an angle measure of $90\°$

The triangle of the figure is a scalene triangle --------> by its sides

Because the three angles and the three sides measures are different

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3 years ago

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6. Describe how we could conduct a simulation to decide whether a simple random sample from this population could produce a samp

BigorU [14]

Step-by-step explanation:

We have proportion p = 50/100 = 0.50

Probability of success = 1-0.50 = 0.50

To conduct simulation, let's assume experiment is to be done 10 times

1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.

2. We get a random sample and get the size of people who support an against smoking with kids in the car.

3. We repeat this process after drawing sample and also get the number of those in support of ban.

4. After getting n, we find proportion.

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3 years ago