5 maybe (I’m not pretty sure)
∠ABF and ∠CBE are vertical angles
3x + 25 + 7x - 19 = 10x - 6
Set them equal to each other
∠ABF = ∠CBE
6x + 26 = 10x - 6
Isolate the x. Subtract 6x from both sides and add 6 to both sides
6x (-6x) + 26 (+6) = 10x (-6x) - 6 (+6)
26 + 6 = 10x - 6x
Simplify
32 = 4x
Divide 4 from both sides
32/4 = 4x/4
x = 32/4
x = 8
m∠ABF = 6x + 26
Plug in 8 for x
6(8) + 26 = m∠ABF
48 + 26 = m∠ABF
m∠ABF = 74°
74° is your answer for m∠F
hope this helps
<h3>
Answer: Choice C) -2b - 1</h3>
=================================================
Work Shown:
3r + 2 - r = -4b
(3r-r) + 2 = -4b
2r + 2 = -4b
2r+2-2 = -4b-2 .... subtracting 2 from both sides
2r = -4b-2
2r/2 = (-4b-2)/2 .... dividing both sides by 2
r = (-4b-2)/2
r = (-4b)/2 - 2/2 ... break up the fraction
r = -2b - 1
Using Heron's formula:
A = √(p(p-a)(p-b)(p-c)) where a,b,c are the sides of the triangle and p is half the perimeter.
The answer is B. 149.4 square units.
