Answer:
Step-by-step explanation:
ABCD is a parallelogram. AB is produced to P, such that AB = BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB = 8 cm, AD = 5 cm, AC = 10 cm.
→ BC ║ QP →→Given
In Δ ABC and ΔAPQ
∠ABC=∠APQ→→[BC ║ QP , BP is a transversal, so corresponding angles are equal]
∠BAC=∠PAQ→→Reflex angle
Δ ABC ~ ΔAPQ→→(AA similarity criterion]
When triangles are similar, their corresponding angles are equal.
AC=CQ=10 cm, shows that point C is mid point of AQ.
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Answer:
- $450,000 at 10%
- $50,000 at 9%
Step-by-step explanation:
Let x represent the amount invested at 10%. Then the total interest earned per year is ...
0.10x + 0.09(500,000-x) = 49,500
0.01x = 49500 -45000
x = 4500/0.01 = 450,000
$450,000 was deposited in the 10% account; $50,000 was deposited in the 9% account.
first polygon
ext. angle=180°-120°
=60°
n=360°/60°
n=6
second polygon
n=2(6)=12
ext. ang= 360°/n = 360°/12° = 30°
int. ang = 180°-30°= 150°
answer is C
Answer:
MN=9.1 cm
LM= 9.9 cm
Step-by-step explanation:
Answer:
A. False
B. True
C. False
D. True
Step-by-step explanation:
Only three dimensional subspace for R3 is R3 itself. In a 3 d subspace there are 3 basis vectors which are all linearly independent vectors. Dimension of a vector is number of subspace in that vector. Finite set can generate infinite dimension vector space.
