Answer:
See below for answers and explanations
Step-by-step explanation:
<u>First, find the missing side using the Pythagorean Theorem:</u>
c²=a²+b²
65²=a²+16²
4225=a²+256
3969=a²
63=a
<u>Therefore:</u>
sinα = opposite/hypotenuse = 63/65
cosα = adjacent/hypotenuse = 16/65
tanα = opposite/adjacent = 63/16
sinβ = opposite/hypotenuse = 16/65
cosβ = adjacent/hypotenuse = 63/65
tanβ = opposite/adjacent = 16/63
We want to calculate the line that passes through the points (-7,0) and (-3,-9). Recall that the equation of a line is

where m is the slope and b is the y intercept. We can calculate first the slope and then find the value of b. To do so, recall that given points (a,b) and (c,d) the slope of the line that passes through them is given by the formula

so by taking a=-7, b=0, c=-3 and d=-9 we get

so our equation becomes

so know we want this line to pass through the point (-7,0), so whenever x= -7 then y=0 so we have the equation

or equivalently

so if we subtract 63/4 on both sides, we get

so our equation would be
Answer:
3 : 1
Step-by-step explanation:
ratio = teeth on front sprocket : teeth on rear sprocket
= 36 : 12 ( divide both parts of the ratio by 12 )
= 3 : 1 ← in simplest form
A. 35 degrees since congruence would be the opposite side being the same