Answer:
<u>Option D : c =200t</u>
Step-by-step explanation:
The number of calories burned C varies directly with the time spent exercising T
∴ ∝ t
∴ c = a t
Where a is the constant of proportion
exercising for 4 hours he burns 800 calories
∴ c = 800 when t = 4
∴ 800 = 4 a
∴ a = 800/4 = 200
∴ c = 200 t
<u>The answer is option D : c =200t</u>
1/100 = 7/x
x = 7*100
x = 700
So, your final answer is 700
Hope this helps!
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.
Answer:
¾
Step-by-step explanation:
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope of line
(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24
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