Answer:
Step-by-step explanation:
"y" is geometric mean
y² = 13 × 2
<em>y </em>= √26 <em>≈</em><em> 5.1</em>
x² = 26 + 4 = 30
<em>x</em> = √30 <em>≈</em><em> 5.5</em>
z² = 15² - 30 = 195
<em>z </em>= √195 <em>≈</em><em> 14.0</em>
The answer is number 3, an=9.5+2(n-1)
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
2X-3 = -3/4x -1/4
Add 3 on both sides: 2X = -3/4x + 2.75
Add -3/4x on both sides: 2.75X = 2.75
Divide 2.75 on both sides: x= 1
hope this helped
Answer:
C. <w and <y
Step-by-step explanation:
<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.
<w and <y are also corresponding angles and are therefore also congruent.
<x and <z are congruent also based on the vertical angles theorem.
<t and <z are alternate exterior angle, and are therefore congruent also.
So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:
<w and <y
