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BlackZzzverrR [31]
3 years ago
13

Find the missing segment.

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

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Should politics discuss whether women can get abortion??? Why or why not????
Doss [256]

Answer:

yes

Step-by-step explanation:

i am young but I think they should because they discuss if it's legal to abort a human life or not. there's lots of debates on why it's good or bad

8 0
3 years ago
Read 2 more answers
The sum of three consecutive even numbers is 552. What is the 1st number?
wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0
3 years ago
Read 2 more answers
3. What is the measure of angle B from the right triangle below?
Talja [164]

Answer:

angle B = 78.46°

Step-by-step explanation:

Use the cosine ratio

cosB=\frac{2}{10} =0.2

B=cos^{-1} (0.2)=78.46^{0}

Hope this helps

8 0
2 years ago
A group of 4 friends are playing cards. The deck has 70 cards. To start the game the dealer makes a pile of 15 cards in the cent
fiasKO [112]

Answer:

15 cards.

Step-by-step explanation:

Because 70-15=60. 60 divide by 4 would be 15.

8 0
3 years ago
Rashad works as a caterer. He gets a weekly fix amount of $50 and is paid $9 per hour. How many hours does he have to work to ea
frosja888 [35]

Answer:

12 hours

Step-by-step explanation:

We can set up an equation to model the situation:

y = 9x + 50

Now, we can plug in 158 as y and then solve for x:

158 = 9x + 50

108 = 9x

12 = x

6 0
3 years ago
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