To find <ABC, the first thing you would need to do is to find angle DBA and the value of x
As <DBE is a right angle, <DBE is on the same straight line as well,meaning that it would be 90° , a right angle as well.
It also mean that the total sum of the angles unknown would be 90°
To find x,we need to set up an equation:
(2x+14)+ (x+7) = 90
3x+21 = 90
3x = 69
x = 23
Thus,<ABC would be
(23)+7
=30°
Hope it helps!
Answer:
The measure of Angle A is 45.5 degrees
Step-by-step explanation:
In order to find the measure of the angle A, add it to the measures of angle B and C. Since it is an isosceles triangle, we know that B and C have the same measure. Then we set this equal to 180.
A + B + C = 180
2x + 4 + 3x + 5 + 3x + 5 = 180
8x + 14 = 180
8x = 166
x = 20.75
Now we can find the measure of Angle A by putting the value of x in for x.
2x + 4 = A
2(20.75) + 4 = A
41.5 + 4 = A
45.5 = A
If the roots to such a polynomial are 2 and
, then we can write it as
courtesy of the fundamental theorem of algebra. Now expanding yields
which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.
So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use
as a root. In this case, that would make our polynomial
so that the answer is (probably) the third choice.
Whoever originally wrote this question should reevaluate their word choice...