Suppose KLMN ~ PQRS. Find the value of x.

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Complete question is attached.

Answer:

B) 8

Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

PQ = 30

QR = 20

LM = x

To find x, let's use tge expression:

$\frac{KL}{PQ} = \frac{LM}{QR}$

$= \frac{12}{30} = \frac{x}{20}$

Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

$\frac{240}{30} = \frac{30x}{30}$

8 = x

x = 8

The correct option is option B.

You might be interested in

One of the requirements of your summer window-washing job is to provide yourself with all of the necessary supplies, including a

Amanda [17]

6,7,10and8

hope this helps you (:

if not plz let me know

have a good day
-denis

6 0

3 years ago

At the movie theatre, child admission is $5.20 and adult admission is $9.00 . On Saturday, 156 tickets were sold for a total sal

stiks02 [169]

We can solve this by using systems of equations.

Let's find our first formula, how much money was made using the tickets.

$5.20x + 9y = 1027.80$

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!

$x + y = 156$ since we sold 156 tickets that could be any combination of child and adult tickets.

Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get $y = 156 - x$ .