$\triangle A B C \cong \triangle D E F, E F=x^2-7$, and BC=4x - 2. Find the values of x.

(A) -1 and 5

(B) -1 and 6

(C) 1 and 5

(D) 2 and 3

Apply the vocabulary from this lesson to answer each question.

A _____ is a transformation that proportionally reduces or enlarges a figure, such as the pupil of an eye. (dilation or scale factor)

Find the constant of variation for each relation and use it to write an equation for each statement. Then solve the equation. If y varies directly as x and inversely as the square of z and $y=\frac{1}{6}$ when x = 20 and z = 6, find y when x = 14 and z = 5.

You are given $\triangle R S T$ and $\triangle X Y Z$ with $\angle S \cong \angle Y$. To show $\triangle R S T \cong \triangle X Y Z$ by the ASA congruence property, what more would you need to know? Give two different answers.

$J D R T \sim W H Y X$. Complete each statement. $\angle D \cong$ _____.

For the underlined phrase or sentence, choose the revision that most improves the writing. Is free verse poetry? $\underline{\text{Some critics don’t agree. Some poets don’t think so.}}$ A. some critics and some poets, too, don't agree. B. Some critics don’t agree; some poets think not. C. Some critics and poets don't agree. D. Some don't agree.

Inference Methods For each of the following descriptions, select the letter of the inference method you would use. (It is possible for a method to be used more than once or not at all.)

A Student's t for a mean

B one-proportion z

C $\chi^2$ goodness-of-fit

D two-proportion z-test

E paired t

A sample of 1979 college students completed the South Oaks Gambling Screen and Interpersonal Guilt Questionnaire and answered questions about their substance use. Students who were identified on the Gambling Screen as pathological gamblers (n = 145) were matched to non-problem gamblers with respect to demographics and substance use to see whether there was any difference in guilt (as assessed by the Guilt Questionnaire). Pathological gamblers bad significantly higher interpersonal guilt than their non- problem-gambling peers.

$$\text { LMNO } \cong \text { PQRS.}$$

Name the angle or side that corresponds to the given part.

$$\overline { M N }$$

Inference Methods For each of the following descriptions, select the letter of the inference method you would use. (It is possible for a method to be used more than once or not at all.)

A Student's t for a mean

B one-proportion z

C $\chi^2$ goodness-of-fit

D two-proportion z-test

E paired t

Polls of voters taken just before an election have the special feature that after the election, we learn the true population proportion ( vote percentage for each candidate) that they were attempting to estimate. The Gallup Poll has been criticized for reporting values that were biased in favor of Republican candidates. Did their final prediction for the presidential election come close enough to the true value, or is there evidence that their methods are faulty?

The angles of $\triangle A B C$ are $\mathrm{m} \angle B A C=9 x-77^{\circ}, \mathrm{m} \angle A B C=5 x+17^{\circ}$, and $\mathrm{m} \angle A C B=6 x-33^{\circ}$. If $\mathrm{m} \angle D E F=90^{\circ}, \overline{A B} \cong \overline{D E}$, and $\overline{B C} \cong \overline{E F}$, is $\triangle A B C \cong \triangle D E F$ ?

Prove or disprove: $\mathbb{Q} / \mathbb{Z} \cong \mathbb{Q}$.

Show that

$$\mathscr { C } [ 0,1 ] \cong \mathscr { C } [ 0,2 ].$$

Use Equation $V_{r(p p)} \cong\left(\frac{1}{f R_L C}\right) V_{p(\text { rect })}$ to calculate the minimum capacitance value. Use $R_L=64 \Omega$.

How does this allow you to prove that $\overline{A D} \cong \overline{B C}$ ?