Answer:
6
Step-by-step explanation:
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Answer:
(2x+1)(x+7)
Step-by-step explanation:
Guess and Check
(2x+7)(x+1) = 2x^2+9x+7. NOPE
(2x+1)(x+7) = 2x^2+15x+7. YES
Answer:
98°
142°
83°
97°
Step-by-step explanation:
m(arc)JL = 2 × 49° = 98°
m(arc)MJ = 360° - 120° - 98° = 142°
m<KJM = (120° + 46°)/2 = 83°
m<KLM = (360° - 120° - 46°)/2 = 97°
Answer:
1.52
Step-by-step explanation:
We're rounding to the nearest hundredth.
According to the rules of rounding, we need to look 1 digit place to the right. If that digit is 
5, then we round up. Otherwise, we round down.
For 1.518, we need to look at 8 (since we're rounding to the hundredth).
, so we round the hundredths digit up.
So 1.518 rounds up to 1.52
