The square of a number plus the number is 182. Find any numbers that satisfy the situation.

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

6 0

Answer:

x =-14 x=13

Step-by-step explanation:

Let x be the unknown number

x^2 +x = 182

Subtract 182 from each side

x^2 +x -182 = 182-182

x^2 +x -182=0

What two numbers multiply to -182 and add to 1

14*-13 = 182

14-13 =1

(x+14)(x-13) = 0

Using the zero product property

x+14=0 x-13 =0

x =-14 x=13

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Step-by-step explanation:

We have been given that line m is parallel to line p, $m\angle HEF=39^{o}$ and $m\angle IGF=13^{o}$ .

Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.

We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.

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