The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)

Part A:

The y-intercept is 3.25. This shows the point where the line intersects with the y-axis.

Part B:

The slope was found using the points (1,5) and (5,12). 5 -1 = 4, which is the run. 12- 5 = 7, which is the rise. 7 ÷ 4 = 1.75. This is the slope.

Input b and m;

y = 1.75x + 3.25

Now, input x;

y = 1.75(13) + 3.25

y = 22.75 + 3.25

y = 26

After 13 months of practice, the team can expect to win 26 matches.

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step-by-step explanation:

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option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.