Answer:
Given
Step-by-step explanation:
You are given the information about the angles under the line given.
I believe the answer is 1. One is the only number that can go into both 8 and 9.
Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°