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2 shapes that have the exact same size and shape are CONGRUENT.
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Answer:
Identity property of multipication
Step-by-step explanation:
Find m∠BOC, if m∠MOP = 110°.
Answer:
m∠BOC= 40 degrees
Step-by-step explanation:
A diagram has been drawn and attached below.
- OM bisects AOB into angles x and x respectively
- ON bisects ∠BOC into angles y and y respectively
- OP bisects ∠COD into angles z and z respectively.
Since ∠AOD is a straight line
x+x+y+y+z+z=180 degrees

We are given that:
m∠MOP = 110°.
From the diagram
∠MOP=x+2y+z
Therefore:
x+2y+z=110°.
Solving simultaneously by subtraction

x+2y+z=110°.
We obtain:
x+z=70°
Since we are required to find ∠BOC
∠BOC=2y
Therefore from x+2y+z=110° (since x+z=70°)
70+2y=110
2y=110-70
2y=40
Therefore:
m∠BOC= 40 degrees
Answer:
so yes
Step-by-step explanation:
If you can divide two numbers without a remainder, then the first number is divisible by the second.
For example, 12 is divisible by 2.
12÷2=6
But 12 is not divisible by 5. When you divide 12 by 5, you get a remainder.
12÷5=2 R2
Answer:
This is the commutative property of multiplication.
Step-by-step explanation:
We know this because that property states that it does not matter what order the numbers are multiplied together, as long as they are all being multiplied. So even though the numbers change on both sides, it does not affect the answer.