Answer:
Step-by-step explanation:
QM is the angle bisector of ∠LMP
∠LMQ = ∠QMP
QM is the angle bisector of ∠PQL
∠PQM = ∠MQL
MQ = QM as common
By ASA, triangle MQP ≅ MQL
LM = PM and LQ = PQ as they are same side of congruent triangles
Triangle LPQ and LPM are isosceles
By angle bisector theorem, LP is perpendicular to MQ
By properties of rhombus, the two diagonals are perpendicular proves that LMPQ is a rhombus.
LM ≅ PQ
Answer:
The answer is 
.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
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Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
We have to find what one share is
we have 3 shares + 2 shares + 5 shares
so he have a total of 10 shares
next, we divide 50 by total shares to get what one share is
50 ÷ 10 = 5
5 is one share
fins what each is
for 3
3 shares so 3 fives
3 × 5 = 15
for 2
2 shares so 2 fives
2 × 5 = 10
and for 5
can you work it out and leave in the comments i will say if it is correct
