Answer:
decreasing increasing decreasing function
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Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
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Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
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SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
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SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
1a 2.5 characters per second
1b 3 characters per second
1c 3.5 characters per second
1d s = 2 + 0.5m
2a 8 = 2 +0.5m
6=0.5 m
m=12
2b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.
3a 10 r +4 = 8
10r =4
r =4/10=2/5
3b. In this equation, r could be the increase in amount of characters that Lydia can type per second.
4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?
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