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tatuchka [14]
3 years ago
12

In the figure below, mROP = 125°.

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55° (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 55° (supplementary angles).

You might be interested in
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The sum of 5 consecutive integers is 265. What is the fifth number in this sequence ?
Yanka [14]
Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers

n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55

6 0
3 years ago
What would be the value of X
Alex_Xolod [135]
To find the value of x, you need to set up a proportion.This is the proportion you would set up:

2.5                    x
----       =        ------
3.75                60

x=40
7 0
3 years ago
Read 2 more answers
This for whoever wants to get 15 points for free.......Your welcome
Kobotan [32]

Answer:THANK YOUUUUUUU

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Math help on this question!
NemiM [27]

Answer:

none

Step-by-step explanation:

110 + 60 = 170

but 170 is obviously not 180 sooo none will be 60 degrees

6 0
3 years ago
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