LEARN PROVING THE TRIANGLE PROPORTIONALITY THEOREM
Triangle Proportionality Theorem: If a line is parallel to one side of a triangle and also intersects the other two sides, the line
divides the sides proportionally.
Given: AABC, DE intersects AB and AC, and DE || BC.
B
Prove:
AD AE
AB AC
E
2
COMPLETE THE PROOF
Reasons
Statements
A ABC is intersected by line DE
DE || BC
ABC - ADE
ACB - AED
.
AABC - SADE
AD AE
AB AC

Find two rational expressions that have the difference of 2-n/n-4

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.

Write a function rule for  “the output is  5 less than the input.” let  xx  be the input and let  yy  be the output.