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2 years ago

11

I have to find the length of the angle indicated for the trapezoid

1 answer:

Stels [109]2 years ago

6 0

That is not a trapezoid, it is a general quadrilateral. All 2-dimensional, 4-sided figures have an internal angle sum of 360 (triangles are 180). So if you assume angles P and Q are right, they are each equal to 90 degrees, for a total of 180.
Subtract: 360 - 180 = 180. We know that S + R must equal 180. If you subtract 180 - 65, you get 115, which is obtuse (greater than 90 degrees). This matches the drawing as the unknown angle is clearly greater than 90. So the answer is 115 degrees.

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1 year ago

Consider the equation

muminat

Answer:

A. $a=10\\ \\b\neq -8$

B. $a=10\\ \\b= -8$

Step-by-step explanation:

Consider the equation

$2(5x-4) = ax + b$

A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.

First, use distributive property:

$2(5x-4)=2\cdot 5x-2\cdot 4=10x-8$

So, the equation is

$10x-8=ax+b$

This equation has no solutions when

$a=10\\ \\b\neq -8$

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.

So, the equation

$10x-8=ax+b$

has infinitely many solutions when

$a=10\\ \\b= -8$

In other cases, the equation has a unique solution

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2 years ago