Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!
Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):
- 9/4 - 2.25 - 2 4/1
- 8/3 - 2.67 - 2 2/3
- 23/6 - 3.83 - 3 5/6
- 11/2 - 5.5 - 5 1/2
- 17/5 - 3.4 - 3 2/5
- 15/8 - 1.875 - 1 7/8
- 33/10 - 3.3 - 3 3/10
- 29/12 - 2.416 - 2 5/12
I hope that this info helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)
Answer:
C
Step-by-step explanation:

I'm going to suggest that we take these and "UN-simplify" them.
For each choice, divide the numerator by 3 and the denominator by 8.
Look at this:
A). 6/14
6 ÷ 3 = 2
14 ÷ 8 = 1.875 ===> 2/1.875 not interesting
B). skip B for just a second
C). 4/9
4 ÷ 3 = 1.33
9 ÷ 8 = 1.125 ===> 1.33/1.125 not interesting
D). 15/35
15 ÷ 3 = 5
35 ÷ 8 = 4.375 ===> 5/4.375 not interesting
But now look at choice-B:
B). 9/24
9 ÷ 3 = 3
24 ÷ 8 = 3 ===> 1/1 interesting !
-- To simplify 9/24, the top and bottom were divided by 3, giving 3/8.
-- To UN-simplify 3/8, the top and bottom were multiplied by 3, giving 9/24.
-- Choice-B is the one that's equivalent to 3/8.
______________________________________________
OK. All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.
A). 6/14
Divide top and bottom by 2 ===> 3/7
B). 9/24
Divide top and bottom by 3 ===> 3/8
C). 4/9
Can't be simplified. Already in simplest form.
D). 15/35
Divide top and bottom by 5 ===> 3/7