Determine the matrix representation of each of the following composite transformations. A pitch of 90^(circ) followed by a yaw of 90^(circ)

Answer true or false to each of the following statements and explain your answers.
a. In using the method of transformations, we should only transform the predictor variable to straighten a scatterplot.
b. In using the method of transformations, a transformation of the predictor variable will change the conditional distribution of the response variable.
c. It is not always possible to fnd a power transformation of the response variable or the predictor variable (or both) that will straighten the scatterplot.

Probability X is odd in a geometric distribution
Let X be a Geometric distribution with parameter $p=\frac{1}{10}$.

Given:
${\displaystyle \mathrm{△}M\ln ,\overline{ML}=13,\overline{MN}=6,\overline{NL}=10,\mathrm{△}RQS,\overline{RQ}=39,\overline{RS}=18,\overline{SQ}=30}$
Find the scale factor from ${\displaystyle \mathrm{△}M\ln }$ to ${\displaystyle \mathrm{△}RQS}$.

Which of the following is the correct equation used to solve for the measure of each angle? OA.
${\displaystyle m\mathrm{\angle }A-m\mathrm{\angle }B-m\mathrm{\angle }C={180}^{\circ }}$ O B. ${\displaystyle m\mathrm{\angle }A+m\mathrm{\angle }B-m\mathrm{\angle }C={180}^{\circ }}$ O c. ${\displaystyle m\mathrm{\angle }A-m\mathrm{\angle }B+m\mathrm{\angle }C={180}^{\circ }}$ O D. ${\displaystyle m\mathrm{\angle }A+m\mathrm{\angle }B+m\mathrm{\angle }C={180}^{\circ }}$
The measure of analeAis Click to select your answer(s). Save for Later 0.
(i) 170
(1) 7
(1) 5
(1) 5
(1) 5
(1) 5

Prove the formula for the foci of an ellipse
I have summarized the question below:
If the vertices of an ellipse centered at the origin are (a,0),(-a,0),(0,b), and (0,-b), and $a>b$, prove that for foci at $(\pm c,0)$, $c^2=a^2-b^2$.
I am guessing that I have to use the distance formula, which is $d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$.

These two triangles are similar by AA similarity. The ratio of corresponding altitudes is proportion to the ratio of corresponding sides. Find the value of x.

AB=15, PQ=7.5
AC=17, PR=x