Answers:
- d) vertical
- c) alternate interior
- f) supplementary
- e) alternate exterior
- g) corresponding
- e) alternate exterior
- f) supplementary
- c) alternate interior
- e) alternate exterior
Letters 'a', b, and h are never used.
Letters c and f show up twice each; e shows up 3 times.
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Explanations:
- Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.
- These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.
- The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.
- Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time.
- Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.
- It's the same idea as problem 4
- Same idea as problem 3.
- Same idea as problem 2.
- Same idea as problems 4 and 6.
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None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.
We cross off option b as well because none of the angles add up to 90 degrees.
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Answer: a line segment has a start and end point. a ray has one starting point and goes on forever. a line has no start or stop. it just goes on forever. hope this helps!!!
Good luck!!!!!!!
Step-by-step explanation:
Answer:
3^x-8=8 then x=log_3(16)
3^(x-8)=8 then log_3(8)+8
Step-by-step explanation:
So if it is 3^x-8=8
then 3^x=16
and then convert to logarithmic form you write it as log_3(16)=x
_3 means the subscript (the base) is 3
So if it is 3^(x-8)=8
then the log form is log_3(8)=x-8
add 8 on both sides log_3(8)+8=x
We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches = 
feet = 5.25 feet.
We are also told that Maria has 
foot of trim left, so total length of trim would be trim used plus trim left that is 
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet = 
yards = 2 yards
Therefore, the length of the trim was 2 yards.
