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:
3 1/2 (three and one-half)
Step-by-step explanation:
Change 1 3/4 to 7/4.
Do keep, change, flip.
Keep the first fraction.
Change division to multiplication.
Flip 1/2 to 2/1.
Do 7/4 x 2/1 and get 14/4
Divide 14 by 4
You get 3.5 and you convert that to 3 1/2
Answer:
16,384 or 2^14
Step-by-step explanation:
4^12= 4*4*4*4*4*4*4*4*4*4*4*4=16,777,216
4^5= 4*4*4*4*4=1024
16,777,216/1024=16,384
16,384=2^14
