Answer:
49°
Step-by-step explanation:
We are given:
m∠1 = 50°
m∠2 = 48°
Since m║n and s bisects ∠ABC (this means that line s cuts the angle in half) and as you can see, the line extends, bisecting the angle across it.
We have this theorem about corresponding angles, when a line transverses across two parallel lines. ∠ABC corresponds to the angle that ∠3 is a part of. Look at the picture to see what I am referring to. The red lines show the corresponding angles.
m∠1 and m∠2 summed up would be equal to the measure of ∠ABC.
m∠1 = 50°
m∠2 = 48°
m∠1 + m∠2 = ∠ABC
50° + 48° = ∠ABC
98° = ∠ABC
This means that the corresponding angle is also equal to 98°.
Now since the s bisects the corresponding angle forming ∠3, we just divide the measure of the angle by 2 and we have your answer:
m∠3 = 98°/2
m∠3 = 49°
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
Answer:
8. $52.85 you'll save $22.65
9. $30.74 you'll save $10.25
10.$18.00 you'll save $12.00
Step-by-step explanation:
z = -11
Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11
Hope this helps you! (:
-Hamilton1757