1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka-Z-Leto [24]
2 years ago
7

Find MO and PR .......................

Mathematics
1 answer:
Ket [755]2 years ago
6 0

MO = 12 and PR = 3

Solution:

Given \triangle M N O \sim \Delta P Q R.

Perimeter of ΔMNO = 48

Perimeter of ΔPQR = 12

MO = 12x and PR = x + 2

<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles. </em>

$\Rightarrow \frac{\text { Perimeter of } \triangle M N O}{\text { Perimeter of } \triangle P Q R}=\frac{M O}{P R}

$\Rightarrow \frac{48}{12}=\frac{12 x}{x+2}

Do cross multiplication.

\Rightarrow 48(x+2)=12(12 x)

\Rightarrow 48 x+96=144 x

Subtract 48x from both sides.

\Rightarrow 48 x+96-48 x=144 x-48 x

\Rightarrow 96=96 x

Divide by 96 on both sides, we get

⇒ 1 = x

⇒ x = 1

Substitute x = 1 in MO an PR.

MO = 12(1) = 12

PR = 1 + 2 = 3

Therefore MO = 12 and PR = 3.

You might be interested in
40% de cuanto son 32?
OlgaM077 [116]

Do not speak Spanish

4 0
3 years ago
Read 2 more answers
a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

5 0
3 years ago
Dave Flip a coin 20 times and got heads on eight of the flips Based on Dave's results what is the experimental probability of th
Elodia [21]
Four tenths, .4 or 8/20
8 0
3 years ago
A list of numbers is given below. If x is a number in this list, which inequality could represent x? {-5, -12, -2, -9}
Flauer [41]

Answer:

x<-1

Step-by-step explanation:

All of the numbers on/in the set are below -1. That means for that any of them to be x, the inequality would be x<-1.

5 0
2 years ago
Natalie has pounds of potatoes. She needs of that amount. How many pounds of potatoes does she need?
Savatey [412]
She will need 10 pounds
4 0
3 years ago
Other questions:
  • Simplify -7 - 3x 5 - 6x <br> a. -12 - 3x <br> b. -12 - 9x <br> c. -2 - 3x <br> d. -2 - 9x
    7·1 answer
  • Solve: -6____=-8 ; what goes on the blank spot?
    10·1 answer
  • U=(1,2,3,4,5,6,7,8),a=(1,3,5,7), b=(4,5,6) is it true statement
    6·1 answer
  • Will mark brainliest and 50 points.<br> What is (2^8x5^-5x19^0)^-2x(5^-2/2^3)^4x2^28 show your work.
    11·1 answer
  • Triangle: solve for x
    12·1 answer
  • 2. Alexis bought four jars of pickles. The total mass of the four jars was 12 kilograms. What is the mass, in grams, of each jar
    9·2 answers
  • Is (1,-4) a solution to the equation y=-2x <br> true or false
    14·1 answer
  • What does the word "eliminate" most likely mean, as it is used in this
    15·1 answer
  • There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many s
    12·1 answer
  • 6 2/3 × 3 6/7? please answer thank you C:
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!