Answer:
See Below
Step-by-step explanation:
Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.
52 + 52 + 77 + 77 = ?
104 + 154 = 258
360 - 258 = 102
Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.
102/2 = 51
Therefore;
d = 52
e = 77
f = 51
It went up 125% or 25 percent more
Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
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Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
1. Graphs help you solve equations, and equations help you solve graphs. Because <span>the graph is a diagram of the equation, showing at its simplest the y answer for each value of x.
2. </span>You have to solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y values. Then you graph it.. And see where it intersects because usually these equations are lines. Also you'd wanna solve for slope-intercept form(y = mx + b)
