Answer:
Step-by-step explanation:
so we see the two line of the same length of 14, which tells us that the lengths of 5x and 7x-8 have to be the same length. so we know we can set them equal to each other. Often times that's the key to math problems , finding where you can set things equal.
5x = 7x-8 ( subtract 5x from both sides and then add 8 to both sides )
8 = 2x ( divide both sides by 2 )
4 = x
nice this looks right too , both sides add to 20 :)
#6
Yes
Direct variation because Time increases cupcakes increases and vice versa
#B
Constant of proportionality represents the amount of time required per cupcakes
#7
Yes we can find it
We have to check the x and y values of the ordered pairs (x,y)
If y is decreasing with respect to increase in x then it's inverse variation
Answers:
- Skipping
- Skipping
- Angles A and E
- Angles B and C
- Angles D and E
- Angles A and H
- Angles A and B
- Angle A
- Angle B
- Angles E and F
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Explanation:
- Skipping
- Skipping
- Corresponding angles are ones where they are in the same configuration of the 4 corner angle set up. Angles A and E are in the same northwest position. Another pair would be angles B and F in the northeast, and so on. Corresponding angles are congruent when we have parallel lines like this.
- Vertical angles form when we cross two lines. They are opposite one another and always congruent (regardless if the lines are parallel or not).
- Alternate interior angles are inside the parallel lines, and they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
- Alternate exterior angles are the same idea as number 5, but now we're outside the parallel lines. Alternate exterior angles are congruent when we have parallel lines like this.
- Adjacent angles can be thought of as two rooms that share the same wall. Specifically, adjacent angles are two angles that share the same segment, line, or ray. The angles must also share the same vertex. In this case, any pair of adjacent angles always adds to 180 (though it won't be true for any random pair of adjacent angles for geometry problems later on).
- Simply list any angle that looks obtuse, ie any angle that is larger than 90 degrees.
- List any angle that is smaller than 90 degrees. It can be adjacent to whatever you picked for problem 8, but it could be any other acute angle as well.
- Refer to problem 7. In this case, adding any two adjacent angles together forms a straight line.
