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
iVinArrow [24]
3 years ago
7

Given △MON≅△PQR with MO=20 , MN=32 and PR=3x−10. Find the value of x. show your work

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

Answer:

x=14

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

△MON≅△PQR

so

corresponding sides

MO≅PQ

MN≅PR

ON≅QR

corresponding angles

∠M≅∠P

∠O≅∠Q

∠N≅∠R

therefore

MN=PR

substitute the given values

32=3x-10

solve for x

3x=32+10

3x=42

x=14

You might be interested in
Solve for X<br> (5x-2)^2=17<br> please help me everyone.
beks73 [17]

Answer:

\frac{2}{5}±\frac{\sqrt{17}}{5}

Step-by-step explanation:

(5x-2)^2=17 \\ 5x-2=±\sqrt{17} \\ 5x = 2 ± \sqrt{17}   \\ x=\frac{2}{5}± \frac{\sqrt{17}}{5}

Don't mind the ±

5 0
3 years ago
You want to walk from home to a clothing store that is 3/8 miles away. You stop for a rest after 1/4 miles. How much farther do
choli [55]
3/8-1/4

3/8-2/8

1/8 miles left
3 0
3 years ago
Read 2 more answers
Express the fractions 1/2, 3/16, and 7/8 with an LCD
12345 [234]
You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number. 

You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers. 

If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product. 

However, you will be able to see that 16 is indeed the lowest common denominator: 

2 × 8=16 

8 × 2=16 

16 × 1=16 

So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same). 

(1/2) x (8/8)= 8/16 

(3/16) x (1/1)= 3/16 

(7/8) x (2/2)= 14/16

6 0
3 years ago
Malik collects rare stamps and has a total of 96 stamps. He has 24 more domestic stamps than foreign stamps. Let d represent the
Dvinal [7]

Answer:

Domestic Stamps: 60

Foreign Stamps: 36

Step-by-step explanation:

96 - 24 = 72

72 ÷ 2 = 36

36 + 24 = 60

d - f = 24

60 - 36 = 24

24 = 24

d + f = 96

60 + 36 = 96

96 = 96

6 0
2 years ago
Read 2 more answers
2z+3x-8yx=<br> 3zy+x-8=<br><br> find the solution
kirill [66]

Answer:

-8xy+3x+2z

x+3yz-8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Variables x and y are in direct proportion, and y = 35 when x = 2m. If x = 8m, then y =
    12·2 answers
  • What is the value of x? Enter your answer in the box.
    12·2 answers
  • Find the value of x if B is between A and C, AB = 4x – 9, BC = 3x + 5 and AC = 17.
    7·2 answers
  • When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
    7·1 answer
  • How can i solve this?
    12·2 answers
  • How do you round 5.04
    10·1 answer
  • Tina collects 487 seashells and Wayne collects 345. After giving 40 seashells to Calvin, they put the remainder equally into 36
    13·1 answer
  • Which fraction is closer to 1 than 0
    9·1 answer
  • Calculate the m angle CLA , given m arc AC = 160° and m arc AKC = 200°.
    7·2 answers
  • Find the surface area of the prism HURRY HURRY
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!