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:

Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.

In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.

Now solve using inverse operations,

Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).

Substitute,

Solve,

Thus, the answer to this system of equations is the following,
.
23/6 as a mixed number equals 3 5/6
24/4 → 4 goes into 24 6 times so the answer is 6
It must be true that one of the numbers is negative. Hope that helps!!
Y - y1 = [-9-(-5)]/[(9-10] * (x - x1)
y - (-9) = [-9 + 5] / [-1] * (x - 9)
y + 9 = (-4) / (-1) * (x - 9)
y + 9 = 4(x - 9)
y + 9 = 4x - 36
y = 4x - 36 - 9
y = 4x - 45 This is the slope - intercept form.
y - 4x + 45 = 0 This is the standard form