All categories

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

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

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

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

$x=7.2\ units$

You might be interested in

Help help help please !!!!

docker41 [41]

Answer:

D. 17

Step-by-step explanation:

If PR equals 34, to get PT divide 34 by 2 since it's half of PR.

6 0

3 years ago

There are a total of 120 counters in a box.

Montano1993 [528]

Answer:

The ratio of red to blue would be 60: 6 which can be simplified to 10:1.

6 0

3 years ago

Which of the binomials below is a factor of this trinomial? x2 + 5x + 6

lianna [129]

Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x

x² = x * x

6 = 3 * 2

(x + 3)(x + 2) are your binomials.

To solve for x, set each parenthesis = 0

x + 3 = 0

x + 3 (-3) = 0 (-3)

x = -3

x + 2 = 0

x + 2 (-2) = 0 (-2)

x = -2

x = -3, -2

hope this helps

5 0

3 years ago

Read 2 more answers

Solve x − 2y = 3 for x.

wolverine [178]

Answer:

$x=2y+3$

Step-by-step explanation:

So we have the equation:

$x-2y=3$

And we want to solve for x. In other words, we want to isolate the x-variable.

So, add 2y to both sides of the equation.

$(x-2y)+2y=(3)+2y$

On the left, the 2y cancel. Simplify the right:

$x=2y+3$

And we're done!

5 0

3 years ago

Read 2 more answers

There's 5 trees fill with apples. Alex wants 2 off each tree. How much apples do she have?

liq [111]

Answer:

Step-by-step explanation:

5 trees * 2 from each = 10 apples

6 0

3 years ago

Read 2 more answers