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Rufina [12.5K]
3 years ago
10

Solve -9/2y = 27/2 for y

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Answer: y = -3

I hope this helps you


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Show that triangle MPT =Triangle MTP​
exis [7]

Unusual notation.  I won't fuss with it.

a. We have isosceles PRT, so angle  RPT = angle RTP.

By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.

We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP

Similarly, m angle RPT = 2 m angle MPT

2 m angle MTP = 2 m angle MPT

angle MPT = angle MPT

That's the first part.

b. That makes MPT isosceles.

c. 2x+124=180

2x = 56

x = 28 degrees

MTP = 28 degrees

d.  We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees

PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees

Bad drawing, PUT looks acute.

angle PRT = 68 degrees, angle PUT = 96 degrees

3 0
3 years ago
Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?
Darya [45]

Answer:

27

Step-by-step explanation:

       Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      <em>g </em>= 2<em>m</em>

       The sum of their ages is 81:

                      <em>g </em>+ <em>m </em>= 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

<em>g </em>+ <em>m </em>= 81

(2<em>m</em>)<em> </em>+ <em>m </em>= 81

3<em>m </em>= 81

<em>m</em> = \frac{81}{3}

<em>m </em>= 27

       If we need to solve for Gabrielle's age, we can do the following.

<em>g </em>= 2<em>m</em>

2(27)<em> </em>= <em>g</em>

54 = <em>g</em>

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

8 0
2 years ago
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An amusement park has a diameter of 1200 feet and has a circular walking path around the entire park. If you walk around the ent
pochemuha
It’s 6,000 feet because if you walk around one time which is 1200 and you multiple it 5 times, you get 6,000
4 0
2 years ago
Find the square.. (8m+7)^2
Zepler [3.9K]
The answer is
64m^2 + 112m + 49
5 0
3 years ago
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In a class of 70 students, Heather has a rank of 11. At what percentile is she?
densk [106]

Answer:

84%

Step-by-step explanation:

I solved it, and I took the test.

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