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kipiarov [429]
3 years ago
9

Find the value of x​

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

The larger right triangle with hypotenuse x + 5 and short leg x + 2 is similar to the smaller right triangle with hypotenuse x + 2 and short leg x.

Because of this similarity, we have

(x + 5)/(x + 2) = (x + 2)/x

Solve for x:

x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 4x + 4

x = 4

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What is the measure of angle BAC?
KATRIN_1 [288]

Answer:

∠BAC = 105°

Step-by-step explanation:

2(5x) = 9x+21

10x = 9x+21

reduce:

x = 21

∠BAC = 5x = 105°

8 0
2 years ago
8' 4" − 2' 6" = how to find the answer
Harlamova29_29 [7]

Step-by-step explanation:

by considering how many inches (") are in one foot (').

the answer is 12. there are 12 in in every ft.

so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :

(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"

and now to translate 70" back into ft and in :

70/12 = 5 with a remainder of 10

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2 years ago
Solve the system of equations.<br> y = 2x + 4<br> y = x2 + x - 2
miss Akunina [59]

Answer:

<u>x=6</u><u> y=16</u>

Step-by-step explanation:

I will use elimination

y=2x+4

y=2x+x-2

*3 y=2x+4 3y=6x+12

*2 y=3x-2 2y=6x-4

3y=6x+12

- 2y=6x. -4

<u>y=16</u>

16=2x+ 4

-4 -4

12= 2x

/2 /2

<u>6=x</u>

7 0
3 years ago
What is 16-2t = t + 9 + 4t
Semmy [17]

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 + 4t

Combine like terms

16-2t =  9 + 5t

Add 2t to each side

16 -2t+2t = 9+5t+2t

16 = 9+7t

Subtract 9 from each side

16-9 = 9-9 +7t

7=7t

Divide each side by 7

7/7 = 7t/7

1 =t

6 0
3 years ago
Read 2 more answers
Help me pleaeeeeeerr!!!!!!
anygoal [31]

Answer:

A = 4/5 ft

Step-by-step explanation:

Area = length x width

A = 2 2/5 x 1/3

Turn the mixed number into an improper fraction:

2 2/5 = 12/5

A = 12/5 x 1/3

A = 12/15

You can divide the top and bottom by 3:

A = 4/5

8 0
3 years ago
Read 2 more answers
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