Question

11 in the triangle shown, what is the value of tan x°? a) 1/26 b) 19/26 c) 26/7 d) 33/7 note: figure not drawn to scale. 12 the scatter - plot shows the relationship between x and y. a line of best fit is also shown. which of the following is closest to the slope of the line of best fit shown? a) -2.27 b) -0.44 c) 0.44 d) 2.27

Explanation:

Step1: Recall tangent formula

The formula for the tangent of an angle in a right - triangle is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

For angle $x^{\circ}$ in the given right - triangle, the side opposite to angle $x^{\circ}$ has length 26 and the side adjacent to angle $x^{\circ}$ has length 7.

Step3: Calculate $\tan x^{\circ}$

$\tan x^{\circ}=\frac{26}{7}$

Step1: Recall slope formula

The slope $m$ of a line is given by $m = \frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points on the line of best fit

Let's choose two points on the line of best fit, say $(0,0)$ and $(5, 2.2)$.

Step3: Calculate the slope

$m=\frac{2.2 - 0}{5-0}=\frac{2.2}{5}=0.44$

Answer:

C. $\frac{26}{7}$