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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45% of 76
45%=0.45
0.45*76
34.2
34.2 is about 34
so 34
Answer:
Step-by-step explanation:
Simplifying
P + -21 + -21 = 34 + -21
-21 + -21 + P = 34 + -21
Combine like terms: -21 + -21 = -42
-42 + P = 34 + -21
Combine like terms: 34 + -21 = 13
-42 + P = 13
Solving
-42 + P = 13
Solving for variable 'P'.
Move all terms containing P to the left, all other terms to the right.
Add '42' to each side of the equation.
-42 + 42 + P = 13 + 42
Combine like terms: -42 + 42 = 0
0 + P = 13 + 42
P = 13 + 42
Combine like terms: 13 + 42 = 55
P = 55
Simplifying
P = 55
