Answer:
See below
Step-by-step explanation:

Hence, both ratios are equal to each other
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:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC =
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
A ray is a line that has a begining point, but no end point
a ray is 1 dimentional, it only goes one direction, left and right
a plane is 2 dimentional and extends indefinitely
it goes left and right and up and down
think of it like this
you have a piece of paper with no height
you draw a line starting at a point on the paper and it goes infinitely in the other direction
the paper is a plane, the line on it that has a starting point is the ray
Volume = Length x Width x Height
Length = 4 ft
Width = 4 ft
Height = 15 ft
Volume = 4 ft x 4 ft x 15 ft = 240 ft^3