Answer:

Step-by-step explanation:
Let:

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

Now subtract (2) from 2*(1) in order to eliminate x:

Solving for y:
Multiplying both sides by -1

Finally, replacing the value of y in (1)

Solving for x:
add 41 to both sides:

Multiply both sides by 1/2:

Step-by-step explanation:

Answer:
The answer to your question is: 30°
Step-by-step explanation:
Data
m∠ 1 = 5x
m∠ 3 = x - 24
Process
m ∠ 1 = m ∠ 3 because they are vertical angles
5x = x - 24
5x - x = 24
4x = 24
x = 24 / 4
x = 6
Angle 1 = 5(6)
= 30°
Answer:
=7x
Step-by-step explanation:
Step-by-step explanation:
(note: I'm only answering the ones I know vs giving you wrong answers for the others!)
1. ROS=Obtuse (larger then ninty degrees)
2. octagon has 8 angles (octo means eight, after all!)
3. If a figure has three sides, it is a triagle (not positive on this one)
4. symmetric property of congruence (this one's a simple search :p )
5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)
6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)
7. N/A
8. N/A (the picture is too fuzzy for me to make any ideas)
I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!