Answer:
Vertical and Supplementary
Step-by-step explanation:
Vertical:
each of the pairs of opposite angles made by two intersecting lines.
Supplementary:
Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle. But the angles don't have to be together.
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:

Answer:
2 and 10
Step-by-step explanation:
n + n + 8 = 12
2n + 8 = 12
2n = 4
n = 2
the two numbers are 2 and 10
The two angles are verticals angles so they are congruent, so you can solve for x by writing and solving an equation
6x-82=3x-23
Combine like terms
3x=105
And simplify to get x=35
Answer:
a=3
Step-by-step explanation:
6a-4=3a+5
6a-3a=3a
5+4=9
3a=9 *divide on both sides*
a=3