This is an example of an inner transversal.
8x + 15 = 7x + 17
x = 2
The two angles are on a straight line:
(8x + 15) + y = 180
31 + y = 180
y = 149
The answer is correct, but do not demean the student for not knowing something.
A = rs
semiperimeter = s = (15 + 41 + 52)/2 = 54
area = A = \(\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{(54)(2)(39)(13)} = 234\)
radius = r = \(\frac{A}{s} = \frac{234}{54} = \frac{13}{3}\)
(2x + 24) + x = 180
3x + 24 = 180
x = 52
2x + 24 = 128 degrees
sqrt(1 + 4a^2) = 1
1 + 4a^2 = 1
a^2 = 0
a = 0
The slope is -1 and the y-intercept is (0, 2), so the equation of the line is y = -x + 2.
f(0) + f(1) + f(2)
= (0 + 1) + (1 + 1) + (2^3 + 2(2) + 1)
= 1 + 2 + 13
= 16
Parallel lines are being cut by a transversal.
4x + 12 = 90
4x = 78
x = 19
4x + 12 = 90 degrees
QR and TS are parallel.
<1 = 76 degrees
<2 = 180 - 119 = 61 degrees
This is a diagram of two parallel lines being cut by a transversal.
(19x - 4) = 110
19x = 114
x = 6
