1 If 3n + 7 = 25, then find the value of the expression 8n - 3 2 In ∆ DEF and ∆ XYZ, DE = XY, angle E = angle Y and EF = YZ. Name the
test of congruency by which both the triangles are congruent.
3 The equation for the statement ‘The sum of seven times m and
fourteen gives 77’ is _.
4 The base of a triangle is 18 cm and its area is 36 sq. cm. The height of
the triangle is _ cm.
5 If two triangles are congruent under the correspondence P ↔ Y , Q ↔
Z , R ↔ X , then it can be said that ∆ PQR ≅ _

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?

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.

Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?