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Sergeu [11.5K]
3 years ago
7

If EG = 59, and EF = 8x - 14, while FG = 4x + 1

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

EG = 59

EF = 8x - 14

FG = 4x + 1

to find the value of x

EF + FG = EG (same line)

8x - 14 + 4x + 1 = 59

12x -13 = 59

12x = 59 + 13

12x = 72

x = 72 ÷ 12

x = 6

You can even cross check for correct answer

EF + FG = EG

instead of x place the x's value we got

8x - 14 + 4x + 1 = 59

8 (6) - 14 + 4 (6) + 1 = 59

48 - 14 + 24 + 1 = 59

34 + 25 = 59

59 = 59

CROSS - CHECKED

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KatRina [158]
I hope this helps you

8 0
3 years ago
The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

y\leq 40-x....(1)

y\leq x-20...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

y=-x+40...(3)

y=x-20...(4)

Adding equation (3) and (4) we get

2y=20

y=10

Substitute y=10 in equation (3) we get

10=40-x

x=40-10=30

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

y=40

Substitute y=0 in equation (3)

x=40

Substitute x=0 in equation (4)

y=-20

Substitute y=0 in equation (4)

x=20

Substitute x=0 and y=40 and in equation (1)

40\leq 40

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

-20\leq -20

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0
3 years ago
Read 2 more answers
The length of the hypotenuse of a right triangle is 50 inches. Determine the length of the legs if each leg is the same length.
algol13

Answer:

  25√2 ≈ 35.36 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the leg length for the given conditions. It tells you the relation between legs a, b, and hypotenuse c is ...

  c² = a² +b²

If a=b, and c=50, this becomes ...

  50² = a² +a²

  1250 = a² . . . . divide by 2

  25√2 = a . . . . take the square root

The length of each leg is 25√2 ≈ 35.36 inches.

4 0
3 years ago
si franco comió 8/3 de pizza y Fabián comió 5/6 de la misma pizza. ¿quien comió más ? si quedó 4/9 de pizza.​
devlian [24]

Answer:

Franco comió 8/3 de pizza.

Fabián comió 5/6 de pizza.

Queremos saber quien comió más.

Entonces básicamente queremos ver cuál número es más grande, 8/3 o 5/6,

Podemos reescribir el primero como:

8/3 = (2 + 3 + 3)/3 = 2/3 + 3/3 + 3/3 = 2/3 + 1 + 1

      = 2 + 2/3

En cambio, para el número 5/6, el numerador es menor que el denominador, entonces sabemos que:

5/6  < 1

Claramente podemos ver que 8/3 > 5/6

Entonces podemos concluir que Franco comió más.

8 0
3 years ago
HELP!:
algol [13]

Answer:

she can  spend 3.00 dollar on he last chocolate

Step-by-step explanation:

14.00-3.00=11.00

11.00-5.00=6.00

6.00-2.00=4.00

4.00-1.00=3.00

8 0
3 years ago
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