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SOVA2 [1]
3 years ago
8

What is the value of x?

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

  x = 32

Step-by-step explanation:

Each angle of the equilateral triangle is 60°.

  (2x -4)° = 60°

  x -2 = 30 . . . . . . divide by 2°

  x = 32

__

  5y° = 60°

  y = 12 . . . . . . . . . divide by 5°

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The graph of y > 1 2 x - 2 is shown. Which set contains only points that satisfy the inequality? A) {(6, 1), (-1, -3), (4, 4)
Kaylis [27]

Answer:

Option B) {(1, -1), (-3, -3), (2, 4)}

Step-by-step explanation:

<u><em>The correct inequality is </em></u>

y>\frac{1}{2}x-2

The solution of the inequality is the shaded area above the dashed line y=\frac{1}{2}x-2

see the attached figure to better understand the problem

we know that

If a ordered pair satisfy the inequality, then the ordered pair must lie in the shaded area of the solution

<u><em>Verify each case</em></u>

case A) {(6, 1), (-1, -3), (4, 4)}

ordered pair (6,1)

For x=6, y=1

substitute in the inequality

1>\frac{1}{2}(6)-2

1>1 ---> is not true

therefore

The point not satisfy the inequality

case B)  {(1, -1), (-3, -3), (2, 4)}

ordered pair (1,-1)

For x=1, y=-1

substitute in the inequality

-1>\frac{1}{2}(1)-2

-1>-1.5 ---> is true

so

The point satisfy the inequality

ordered pair (-3,3)

For x=-3, y=3

substitute in the inequality

3>\frac{1}{2}(-3)-2

3>-3.5 ---> is true

so

The point satisfy the inequality

ordered pair (2,4)

For x=2, y=4

substitute in the inequality

4>\frac{1}{2}(2)-2

4>-1 ---> is true

so

The point satisfy the inequality

therefore

The set contains only points that satisfy the inequality

case C) {(1, -1), (-3, -3), (4, -2)}

ordered pair (4,-2)

For x=4, y=-2

substitute in the inequality

-2>\frac{1}{2}(4)-2

-2>0 ---> is not true

therefore

The point not satisfy the inequality

case D) {(-1, -3), (-3, -3), (2, 4)}

ordered pair (-1,-3)

For x=-1, y=-3

substitute in the inequality

-3>\frac{1}{2}(-1)-2

-3>-2.5 ---> is not true

therefore

The point not satisfy the inequality

4 0
3 years ago
Is 8d + 4w and 1/2(8d+4w) equivalent
DiKsa [7]

Answer:no

Step-by-step explanation:

Because there is a one half in front of the second one and if the one half wasn’t there,then it would be equivalent bc they are the same number.

8 0
3 years ago
Is 1 + 4 (3x - 10) - 12 equivalent to -9
Phoenix [80]

Answer:

No.The answer should be -4.1

Step-by-step explanation:

1+4(3x-10)-12

5(3x-10)-12

15x-50-12

15x-62

x=-62/15

x=-4.1

6 0
3 years ago
Write the function in standard form <br><br> F(x)=-3(x-6)^2+15
LenKa [72]

Answer:

(6,15)

Step-by-step explanation:

7 0
3 years ago
From Sunday to Friday, Desiree jogged the same number of miles. On
jok3333 [9.3K]

Answer:

I believe she did 4.5 miles each day

Step-by-step explanation: all I did was divide 52 by 12

Tell me if im wrong

5 0
3 years ago
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