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N76 [4]
2 years ago
12

How do I solve this? I am confused Quick!!

Mathematics
1 answer:
KiRa [710]2 years ago
8 0
Answer: green angle = 76 degree

Solution:
We can use interior angle properly of a triangle to find it.

Exterior angle = sum of interior angles

So, 116 = 4x + (7x + 6)

11x + 6 = 116
11x = 116 - 6
11x = 110
x = 110/11 = 10

So, angles = 4 x 10 = 40
7 x 10 + 6 = 70 + 6 = 76

Green angle: 76 degree
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Please help me so confused Solve. x^2 + 3x − 7 = 0 Enter your answers, as exact values, in the boxes. x = or x =
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Answer:

x = -1/2 ( 3±sqrt(37))

Step-by-step explanation:

x^2 + 3x − 7 = 0

Add 7 to each side

x^2 + 3x =7

Using complete the square

Taking the coefficient of x

3

Divide by 2

3/2

Square it

(3/2)^2 = 9/4

Add this to each side

x^2 + 3x+ 9/4 = 7+9/4

( x+ 3/2) ^2 = 28/4 + 9/4

( x+ 3/2) ^2 = 37/4

Take the square root of each side

x+3/2 = ±sqrt(37/4)

x+3/2 = ±sqrt(37) / sqrt(4)

x+ 3/2 = ±sqrt(37) / 2

Subtract 3/2 from each side

x = -3/2 ±sqrt(37) / 2

x = -1/2 ( 3±sqrt(37))

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