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Elza [17]
2 years ago
7

Find the value of x. 6 14 8 0 21 x = [ ? ] 3x-12

Mathematics
1 answer:
love history [14]2 years ago
4 0

Answer: 7

Step-by-step explanation:

By the angle bisector theorem,

\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}

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The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom
34kurt

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer.  That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3.  Looks like the answer is correct!

Answer C.

7 0
3 years ago
Best explained and correct answer gets brainliest!
Norma-Jean [14]
It would be C, because a straight line equals to 180 degrees, and since 3 is 86, and lines m and n are parallel, 180-86 = C.94. Hope this helps! 
6 0
3 years ago
A gumball machine has different flavors sour apple,grape,orange and cherry . There are six of each flavor. $.50 are put in the m
tamaranim1 [39]

Answer:

30/552

Step-by-step explanation:

In order to solve this problem you need to multiply the probability of getting grape for the first gumball with the probability of getting grape for the second gumball. Since there are 6 grape gumballs and a total of 24 gumballs (6*4). Then the probability of getting grape for the firs one is

\frac{6}{24}

Now there are only 5 grape gumballs available and one less in the total supply, therefore the probability of getting grape in the second try is

\frac{5}{23}

Finally we multiply them together to find the probability of getting two grapes in a row.

\frac{6*5}{24*23} = \frac{30}{552}

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3 years ago
Find the length of side y. <br> y=_ft
jolli1 [7]

Answer:

x= 0.22947

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
HELP ME PLEASE I'll give brainless.
Lana71 [14]

Answer:

∠FGI=40°

Step-by-step explanation:

CE║FH ⇒ ∠CDG=∠FGI=40°

3 0
3 years ago
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