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Bad White [126]
3 years ago
11

Find the measure of HG¯¯¯¯¯¯¯¯. A. 12 B. 16 C. 14 D. 7

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

HG^2 = FG * (FG + EF)

Fill in the values:

(x+3)^2 = x * (7+x)

Simplify the right side:

(x+3)^2 = 7x +x^2

Rewrite the left side using the FOIL method

x^2 + 6x + 9 = 7x +x^2

Subtract x^2 from both sides:

6x +9 = 7x

Subtract 6x from both sides:

x = 9

Now you have x solve for HG

HG = x +3 = 9+3 = 12

The answer is A.

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6 0
3 years ago
What is the lateral and surface area? ​
pshichka [43]

Answer:

L = 324 cm²

S = 359.1 cm²

Step-by-step explanation:

Lateral surface area of a triangular prism is given by,

Lateral surface area = Perimeter of the triangular base × Height

                                  = (9 + 9 + 9)×12

                                  = 27 × 12

                                  = 324 cm²

Surface area area of the triangular prism = Lateral area of the prism + Area of the triangular bases

= 324 + \frac{1}{2}(Base)(Height)

= 324 + \frac{1}{2}(9)(7.8)

= 324 + 35.1

= 359.1 cm²  

4 0
3 years ago
Un avion sale de Córdoba con destino a Estados Unidos realiza escalas en Chile y en Bolivia la capacidad del avión es de 507 pas
Dahasolnce [82]

Answer:

386 passengers arrive at Estados Unidos.

386 pasajeros aterrizará en Estados Unidos.

Step-by-step explanation:

English Translation

A plane from Córdoba bound for Estados Unidos and makes stops in Chile and Bolivia. The plane has a capacity for 507 passengers. He leaves the Córdoba airport with 119 empty seats. In Chile 33 passengers go down and 121 go up. In Bolivia 129 go down and 39 go up. How many arrive in Estados Unidos?

- The plane has capacity for 507 passengers.

- 119 seats are empty when it leaves Córdoba.

Meaning that there were (507 - 119) passengers on board = 388 passengers

- In Chile 33 passengers go down and 121 go up.

Number of passenger become

388 - 33 + 121 = 476 passengers

- In Bolivia 129 go down and 39 go up.

Number of passengers become

476 - 129 + 39 = 386 passengers.

Hope this Helps!!!!

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3 years ago
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vladimir1956 [14]
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How many meters is in 100 yards?
Inga [223]

There is 94.11 meters in 100 yards how I got the answer is because I know that there is 0.9144 in 1 yard. I hope this helps and someone deleted my response so that is why I am responding again.!!!

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