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Sedbober [7]
3 years ago
5

The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third nu

mber if one of its factors is 9.
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

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I really need help please !!!
lisov135 [29]

Answer:

15

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(5+x) * 5 = 10^2

Distribute

25 +5x = 100

Subtract 25 from each side

25-25 +5x = 100-25

5x= 75

Divide by 5

5x/5 = 75/5

x = 15

8 0
3 years ago
Find the values of x and y for which the quadrilateral must be a parallelogram.
BabaBlast [244]

Answer:

I believe you are right.

Step-by-step explanation:

All sides seem to be of similar length. The values you put in would make the sides equal so I would go with that one.

5 0
3 years ago
What is the measurement of
VladimirAG [237]
A. 30%
I think it’s A
6 0
3 years ago
X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of
sladkih [1.3K]
X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989

So we verified y = 5
3 0
3 years ago
PLEASE HELP ILL GIVE U BRIANLY
otez555 [7]

Answer:

the alternate interior angle of angle 5 is angle 4

the measurement of this angle is 70°

angle 3 is 110°

the alternate interior angle of 3 is angle 6

the measurement of this angle is 110°

7 0
3 years ago
Read 2 more answers
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