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!
Let sum of 3 numbers be x.
Average of 3 numbers and 8 =
25 =
100 = x +8
x= 92.
The sum of 3 numbers is 92.
Answer:
19th day
Step-by-step explanation:
So say Lily was 1 when Lily was planted
First day Lily is 2
Second day Lily is 4
Third day Lily is 8
etc...
See the pattern?
The pattern is 2^x
On the 20th day, Lily was 2^20
So when Lily was half, Lily was 2^20 / 2
2^x = 2^20 / 2
2^x = 2^19
On the 19th day, Lily was half.
Answer:
length= 24cm
Step-by-step explanation:
interpreting the question
L=3w
perimeter=2(l+w)
64=2(3w+w)
64=2(4w)
64=8w, Divide both sides by 8
w= 8cm
since w= 8
L=3w
L=3×8
L=24cm
Answer:
24 m²
Step-by-step explanation:
The area of a rhombus is the product of the two diagonals over 2
