Answer:
d=90 e=27 f=153
Step-by-step explanation:
since 90 is one half of 180 if d was any bigger or smaller the the information given would be incorrect.
e is 27 since vertical angles
f is 157 since a line is equal to 180 and since e is 27 you subtract 27 from 180
Answer:
x = -8
Step-by-step explanation:
(-8, 7) and (-8, -2)
m=(y2-y1)/(x2-x1)
m=(-2-7)/(-8+8)
m=(-9)/0
m = undefined slope or no slope
x = -8
Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Answer:
lhh
Step-by-step explanation:
Answer:
120
Step-by-step explanation: