Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
3x - 4 = 2x + 1
Step 2: Solve for <em>x</em>
<u>Subtract 2x on both sides:</u> x - 4 = 1
<u>Add 4 on both sides:</u> x = 5
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: (9,7)
Step-by-step explanation:
By definition, a rectangle is a quadrilaleral that has two pairs of equal sides.
When you plot the points given in the problem you obtain the points shown in the first figure.
Then, keeping the definition above on mind, the fourth vertex must be at coordinates (9,7), as you can see in the second figure.
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