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Setler79 [48]
3 years ago
8

"What is the name of the relationship between angle 1, and angle 4?

Mathematics
2 answers:
zvonat [6]3 years ago
7 0
1 and 4,2 and 3 are the alternate interior angles
AfilCa [17]3 years ago
7 0
Alternate interior angles
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When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
Roman55 [17]

Answer:

x = -1

Step-by-step explanation:

First, we can translate this statement to the equation

x^2-5=4x

Subtracting 4x from both sides gives us a quadratic equation:

x^2-4x-5=0

From here, we can factor the expression on the right to give us the equation's two solutions. The factored form will look like

(x+a)(x+b)=0

We need a + b = -4 and ab = -5, and picking a = 1 and b = -5 do the job there. Our expression factors then to (x + 1)(x - 5), giving us the equation

(x+1)(x-5)=0

And the solutions x = -1 and x = 5. Since we're only looking for the negative solution, x = -1 is the one we want.

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