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
Let K=average weight of an okapi and L=that of a llama.
3L=K+190 and K+L=450 so K=450-L. Therefore 3L=450-L+190, 4L=640, L=160kg and K=450-160=290kg.
Okapi weighs 290kg, llama weighs 160kg.
The slope of the line is 5
The highest power of 12 that divides 273 (with remainder) is
, and dividing gives
Divide the remainder term by the next highest power of 12,
.
So
, since
