i write everything in the exploration
Step-by-step explanation:
MN=31
KN=45
K=61°
L=119°
M=61°
CF=10
FE=15
CE=14
GD=11
QR=19
SR=24
PT=21
SQ=20
QRS=70°
PQS=53°
RPS=35°
PSQ=53°
7x-2=12x-22
-2=5x-22
20=5x
x=4
7×4-2=26 (12×4-22=26)
(2x+11)×2=8x-14
4x+22=8x-14
22=4x-14
36=4x
x=9
( (2×9+11)×2=58. 8×9-14=58. so it's correct)
(3x+5)+(9x-17)=180
12x-12=180
12x=192
x=16
( (3×16+5)+(9×16-17)=53+127=180 so it's correct)
10x-27=2x+29
8x-27=29
8x=56
x=7
10×7-27=43 (2×7+29=43)
V=180-43°=137°
Answer is 26 13/64
first u need to simplify mixed number then multiply them all
43/8*3*13/8=1677/64
X=0.5
y=1
(4x0.5) + (7x1) = 9
2 + 7 = 9
x = one angle
y = other angle
y = 15+x
complements add to 90 degrees
x+y = 90
substitute for y (15+x)
x + 15+x = 90
combine like terms
2x+ 15 = 90
subtract 15 from each side
2x = 75
divide each side by 2
x = 75/2
x = 37.5
y = x+15
y = 37.5 + 15
y =52.5
The two angles are 37.5 and 52.5
Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.

We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x