Answer:
#11-13: 118 , 97 , 62
#7-10: 92 , 125 , 56 , 130
Step-by-step explanation:
#11. Supplementary angles (A + B = 180)
- (n + 7) + (3n - 47) = 180
- n = 55
- <ABC = 3(55) - 47 = 118 degrees
#12. Supplementary angles
- 83 + x = 180
- x = 97
- <ABC = 97 degrees
#13. Congruent angles (A = B)
- (8x - 34) = (5x +2)
- x = 12
- <DEF = 5 (12) + 2 = 62 degrees
#7. Congruent angles
- (3x +23) = 4x
- x = 23
- <ABC = 4(23) = 92 degrees
#8. Congruent angles
- 5x = (3x + 50)
- x = 25
- <MPQ = 3(25) + 50 = 125 degrees
#9. Congruent angles
- (a + 28) = 2a
- a = 28
- <MNP = (28) + 28 = 56 degrees
#10. Congruent angles
- 5y = (2y + 78)
- y = 26
- <WXZ = 5(26) = 130 degrees
I hope this helps!
Answer: there would be 52 yellow marbles
Step-by-step explanation:
Ok we know that there is 65 marbles in total? Right? So then we’d take 65 and think, what could we divide this by and start guessing and estimating numbers. (I guessed 5, one because it’s divisible by 65, two there is 5 times more yellow marbles than red marbles.) So 5 divided by 65 is 13. But, in order to find the amount of yellow marbles, we need to subtract the whole number by the amount of red marbles. (So 65-13 =?) if you subtract that you get 52 yellow marbles. :)
1) 6/14 divide by 2 = 3/7
2) 9/12 divide by 3 = 3/4
3) 15/25 divide by 5 = 3/5
Answer:
(5,-8)
Step-by-step explanation:
if it is reflected across the X axis and this is in quadrant 3 that means if it was reflected it would fall in quadrant 2
Answer: x ≥ 0
Step-by-step explanation:
First, let's define the symbols used:
a < x (this means that a is strictly smaller than x)
a > x (this means that a is strictly larger than x)
a ≤ x (this means that a is smaller than or equal to x)
a ≥ x (this means that a is larger than or equal to x)
Now we have the statement "x is no less than 0"
Then x can be equal to zero, or larger than zero, but never smaller than zero.
Looking at the symbols above, we know that we need to use:
x ≥ 0
(this is equivalent to the statement)
