Answer:
This only has answer 1. these proofs are really long, so hard to fit them all in one answer.
Step-by-step explanation:
: Will be used very often so just remember this equality.
1. Multiply 
When we factor out the terms, we are left with:
We then use the rule above and convert it to
:
Answer:

Step-by-step explanation:
-we apply the relationship of chords intersecting within a circle:
-when two chords intersect to form a vertex of an angle within a circle, the measure of the angle is equal to one-half the sum of the measures of the two arcs intercepted by the angle and its vertical angle:

Hence, the measure of ∠AFE is 55°
Answer:

Step-by-step explanation:
Please see attached picture for full solution.
Answer <u>(assuming it can be in slope-intercept format)</u>:
Step-by-step explanation:
When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or
.
1) First, find the slope of the equation. Use the slope formula,
, to find the slope. Substitute the x and y values of the given points into the formula and simplify:

Thus, the slope is
.
2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation
. Substitute
and
for real values.
Since
represents the slope, substitute
in its place in the equation. Since
represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:
