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3 years ago

How do you solve this

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

Answer:

8. 105 degrees

9. 75 degrees

10. 105 degrees

Step-by-step explanation:

The given angle is 75 degrees. The four angles together make up 360 degrees because quadrilaterals have a measurement of 360 degrees on the inside. The angle that is 75 degrees and angle 2 are opposites (I forgot the math word, sorry) so they are the same degrees. So we know that angle 2 is 75 degrees. Angles 1 and 2 are vertical pairs, as well as the given angle and angle 3. We know that vertical pairs equal 180 degrees. 180 - 75 = 105 degrees. Now we know that both angle 1 and 3 are 105 degrees. You could also find the measurment of angle 1 and 3 by making an equation.

Given angle + Angle 2 + Angle 1 + Angle 3 = 360 degrees

(75 + 75 + 2x = 360)

150 + 2x = 360

2x = 210

x = 105

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Nina [5.8K]

Answer:

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Step-by-step explanation:

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4 years ago

In the equation x^2+kx+54=0 one root is twice the other root find k

Maurinko [17]

Let r be the lesser root and r^2 be the greater.......the sum of the roots = -b/a = -[-6] / 1 = 6

So we have that

r^2 + r = 6 → r^2 + r - 6 = 0

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So r = -3 or r = 2

Then r^2 = 9 or r^2 =4

And the product of the roots = c/a = k/a = k

So....k = (-3)(9) = -27 or k = (2)(4) = 8

Check

x^2 - 6x - 27 = 0 factors as (x + 3)(x - 9) = 0 and the roots are -3 and 9

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3 years ago

HELP FAST 34 POINTS AND BRAINLIEST!!

mezya [45]

Answer:

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Step-by-step explanation:

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2 years ago

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Ludmilka [50]

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