Explanation:
The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.
More formally, if V is the common vertex, and ...
- R is a point on one of the rays forming Angle 1
- S is a point on the ray that is the opposite of ray VR
- T is a point on the other ray forming Angle 1
- U is a point on the ray that is the opposite of ray VT
Then angle RVT and angle SVU are vertical angles.
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Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.
If the above conditions cannot be met, then the angles are not vertical angles.
So what you do is see all the denomenators and factor them (denomenaotrs are the bottom numbres)
10,4,10,25
10=2 times 5
4=2 times 2
10=2 times 5
25=5 times 5
we need to include all of them so we need at leas two 2's, and two 5's
2 times 2 times 5 times 5=100
leact common denomator is 100
Answer: 81.64 feet
Step-by-step explanation:
Circumference of a circle = pi * diameter
Circumference of a circle = 3.14 * 26 feet
Circumference of a circle = 81.64 feet
Answer:
Inverse Property of Addition (Reason C)
Step-by-step explanation:
<u>Given:</u> 3(x – 4) = 33
<u>Prove: </u>x = 15
Statements Reasons
1. 3(x – 4) = 33 Given
2. 3x – 12 = 33 Distributive Property (Reason A)
3. 3x – 12 + 12 = 33 + 12 Addition Property of Equality (Reason B)
4. 3x + 0 = 45 Inverse Property of Addition (Reason C)
5. 3x = 45 Zero Addition Property (Reason D)
6. x = 15 Division Property of Equality
