Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
Answer:
width = 5 in
length = 5+4=9 in
height = 2(5)= 10 in
Step-by-step explanation:
A gift box has a volume of 450 cubic inches.
Let 'w' be the width of the box
The width of the box is 4 inches less than the length.

The height is twice the width.

height = 2w
Volume of box = length times width times height






w=5
, this gives two complex values
so width = 5
length = 5+4=9
height = 2(5)= 10
The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,

From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
To solve this problem, we must simplify the the equation:
<span>Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):
</span>#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)<span>
#2 -7m - 8 = -4 + m (Most Simplified Equation)
The answer your would be the 2nd one. </span>-7m - 8 = m - 4
<span>
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</span>
Answer:
2.75 miles, 14520 feet
Step-by-step explanation:
11 miles/4=2.75
1 mile=5280 feet
2.75 miles=14520 feet