All categories

3 years ago

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

A lamina with constant density rho(x, y) = rho occupies the given region. Find the moments of inertia Ix and Iy and the radii of

jenyasd209 [6]

Answer:

Ix = Iy = $\frac{ρπR^{4} }{16}$

Radius of gyration x = y = $\frac{R}{4}$

Step-by-step explanation:

Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.

Mass of disk = ρπR2

Moment of inertia about its perpendicular axis is $\frac{MR^{2} }{2}$ . Moment of inertia of quarter disk about its perpendicular is $\frac{MR^{2} }{8}$ .

Now using perpendicular axis theorem, Ix = Iy = $\frac{MR^{2} }{16}$ = $\frac{ρπR^{4} }{16}$ .

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

3 0

3 years ago

A cell phone provider charges $120 per month. There is a 15% discount for those who also subscribe to home phone service. What p

Zepler [3.9K]

Answer: $102 per month

Step-by-step explanation:

15% off $120 means $120-(.15*$120) which is 120-18=$102. The .15 is the 15%, and 15% of 120 would be the whole multiplication.

5 0

3 years ago

Geometry help? 24/10 10/24 24/26 10/26

olasank [31]

24/26 or opposite over adjacent. The answer is C

8 0

3 years ago

What is k in this proportional relationship?

Zolol [24]

Answer:

Step-by-step explanation:

K is the constant of proportionality or unit rate

(x, y)

(0, 0)

(2, 120)

(3, 180)

(4, 240)

120/2=60

180/2=60

240/2=60

The constant of proportionality or unit rate is 60

7 0

2 years ago

Read 2 more answers

Simple interest $1600.00 at 6% for 180 days

ikadub [295]

Answer:

Interest = $47.34

Step-by-step explanation:

Formula:-

Simple interest I = PNR/100

P - Principle amount

N - number of years

R - Rate of interest

It is given that

P = $ 1600

R = 6%

Number of days = 180 days

To find the simple interest for 1 year(365 days) 

I = PNR/100

= (1600 * 1 * 6)/100 = $96

To find the interest for 180 days 

For 365 day I = $96

For 180 days I = (180/365) * 96

I = $47.34

7 0

2 years ago