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Natalija [7]
3 years ago
11

ZE and ZF are vertical angles with mZE= 9x + 12 and mZF= 3x + 24. What is the value of x?

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

Answer:

x=2

Step-by-step explanation:

Vertical angles are equal

m ZE = m ZF

9x+12 = 3x+24

Subtract 3x from each side

9x -3x +12 = 3x-3x+24

6x+12 = 24

Subtract 12 from each side

6x+12 -12 = 24-12

6x = 12

Divide each side by 6

6x/6 =12/6

x = 2

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Find the prime factorization of 108
Nimfa-mama [501]

Answer:

2^2 * 3^3

Step-by-step explanation:

When breaking of 108 into factors, you first get 9 and 12. Then, the 9 gets split into a 3 and a 3. Meanwhile the 12 is split into a 3 and a 4. Finally the 4 is split into a 2 and a 2. So you end up with 2*2*3*3*3, which is the same as 2^2 * 3^3

7 0
3 years ago
1/3 n=4/5 Enter the value of the n that will make the equation true.
myrzilka [38]

Answer:

  n = 12/5

Step-by-step explanation:

Multiply both sides of the equation by the reciprocal of the coefficient of n.

  (3/1)(1/3)n = (3/1)(4/5)

  n = 12/5

3 0
3 years ago
Angelo chooses a number from 1 to 10. What is the probability that he chooses an odd number or a multiple of 5?
wel
Okay, so the possible numbers he can choose are :

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Pick out all the odd numbers and multiples of 5.

1, 3, 5, 7, 9, 10

Count how many numbers are odd and are a multiple of 5.

6 numbers are odd or are a multiple of 5.

So, out of 10 numbers, 6 are odd or are a multiple of 5,

Therefore, our answer is 6/10

If you would like it simplified, it would be 3/5

Or, as a decimal, it would be 60%

~Hope I helped!~
5 0
4 years ago
Charlie bought 2 3/4 pounds of pears for $.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound how much money in dollars
erma4kov [3.2K]

Answer:

5.94

Step-by-step explanation:

Multiply 2.75 by $0.76 to get $2.09

Multiply 2.75 by $1.40 to get $3.85

Add $3.85 and $2.09 to get $5.94

8 0
3 years ago
Read 2 more answers
Find m angle PMA +m angle CMT.<br> .<br> .<br> .<br> The last option: D. 84
Dmitry_Shevchenko [17]

Answer:

84

Step-by-step explanation:

m∠CMT=101-54=47

m∠PMA=37, So

m∠PMA+m∠CMT=47+37=84

8 0
3 years ago
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