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tatuchka [14]
4 years ago
10

The two triangles are similar What is the value of x?

Mathematics
1 answer:
Zepler [3.9K]4 years ago
3 0
Using the relation of similar triangles...

(12 + 4)/6x = 12/(5x -2)
16/6x = 12/(5x - 2)
8/3x = 12/ (5x -2)
8(5x - 2) = 12(3x)
40x - 16 = 36x
40x - 36x = 16
4x = 16
x = 4

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A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape....
frosja888 [35]

Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7%</em>

<em>about 41.5%</em>

<em>about 42.5%</em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>

<em>As the red grapes are 15..</em>

<em>Thus,</em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22</em>

<em>=105/253</em>

<em>=0.415</em>

<em>= 41.5%</em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

5 0
2 years ago
******CRIMINAL JUSTICE******
KatRina [158]
I am almost positive the answer is B

5 0
3 years ago
Read 2 more answers
What is the greatest common factor of 14, 51 ,21
nikitadnepr [17]

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

4 0
3 years ago
ANSWER PLEASE!!!!! ASAP!!! THANKS!!
GREYUIT [131]

Answer:

The answer is 64.

Step-by-step explanation:

To find the volume of a prism, you multiply l x w x h (length x width x  height). The length is 8, width is 4, height is 2. 8 x 4 = 32, 32 x 2 = 64.  

hope this helped plz tell me if i was right!!!

8 0
3 years ago
Round 38.75 to one decimal place
MakcuM [25]
38.75 to one decimal place is 38.8
7 0
3 years ago
Read 2 more answers
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