Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
Answer:
A. x=0 and x=4
Step-by-step explanation:
The roots of a quadratic function are the x intercepts of the parabola. In this case, the roots are 0 and 4 because the parabola intercepts the x axis twice in these points.
Your answer is A. x=0 and x=4
Hope I helped!
Answer:
Step-by-step explanation:
Its not clearly given that whether EBF = 2x + 9 or 2x - 9.
I have written the solution for both.
If EBF = 2x + 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
If EBF = 2x - 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
Find the last angle:
180-(30+90)
180-(120)
60
Evaluate using sine rule:

=

c=

=

=20
The length of line segment AB is 20 feet (answer choice C)