For the blank on the left, the answer is "angle ABC" without quotes of course. This is because we're using the substitution property which is the reasoning for statement 4. To elaborate, we connect statement 1 and statement 3 to get to statement 4.
The last statement, statement 5, is simply a repeat of the claim we want to prove. So you'll just copy/paste where it says "prove" as your last statement. Always start with the "given" and end up with "prove" is how I think of it.
The reasoning for the last statement is "definition of congruence". If two angles are congruent, then they have the same angle measure.
$0.64
It's easy 3.20/5...the total divided by the amount of days equals how much she made each week.
Answer:
A. 90
Step-by-step explanation:
Since the 2 lines on the left are parallel, they both will line up. Also the other answers don't make sense
We can use the distribution method for this:
1/2r - 3 = 2(4 - 3/2r)
Multiply 2 by everything inside the parentheses:
1/2r - 3 = 8 - 3r.
Move variables to one side, and numbers to another:
1/2r + 3r = 8 + 3.
3 1/2r = 11.
7/2r = 11.
Divide by 7/2:
r = 22/7.
Not sure this is correct.
Answer:

Step-by-step explanation:
AK is angle A bisector, then

BL is angle B bisector, then

Consider triangle ABL. The sum of the measures of all interior angles in this triangle is
then

Consider triangle ABK. In this triangle,
![m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}]](https://tex.z-dn.net/?f=m%5Cangle%20AKB%3D180%5E%7B%5Ccirc%7D-2x%5E%7B%5Ccirc%7D%20%5C%20%5B%5Ctext%7BSupplementary%20angles%7D%5D)
The sum of the measures of all interior angles in this triangle is
then

Hence,

Find the measures of the triangle ABC:
