Answer:
27
Step-by-step explanation:
If S-A-D (S, A, D are collinear)
Then:
![SD = SA + AD\\\therefore 4x + 7 = 5x - 8 + 2x\\\therefore 4x + 7 = 7x - 8\\\therefore 4x - 7x = - 8 - 7\\\therefore - 3x = - 15\\\therefore x=\frac{-15}{-3}\\\huge \purple {\boxed {\therefore x = 5}} \\SD = 4x + 7\\SD = 4\times 5+ 7 \\SD = 20+ 7 \\\huge \orange {\boxed {SD = 27}} \\](https://tex.z-dn.net/?f=SD%20%3D%20SA%20%2B%20AD%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%204x%20%2B%207%20%3D%205x%20-%208%20%2B%202x%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%204x%20%2B%207%20%3D%207x%20-%208%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%204x%20-%207x%20%3D%20-%208%20-%207%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20-%203x%20%3D%20-%2015%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20x%3D%5Cfrac%7B-15%7D%7B-3%7D%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Cpurple%20%7B%5Cboxed%20%7B%5Ctherefore%20x%20%3D%205%7D%7D%20%5C%5C%3C%2Fp%3E%3Cp%3ESD%20%3D%204x%20%2B%207%5C%5C%3C%2Fp%3E%3Cp%3ESD%20%3D%204%5Ctimes%205%2B%207%20%5C%5C%3C%2Fp%3E%3Cp%3ESD%20%3D%2020%2B%207%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Corange%20%7B%5Cboxed%20%7BSD%20%3D%2027%7D%7D%20%5C%5C)
Answer:
x=3
Step-by-step explanation:
Y=-1
x+y=2
x-1=2
x=3
3-1=2
Answer:
B, 118°
Step-by-step explanation:
The sum of angles on a straight line is 180° (because the measure of a straight line is 180°)
Thus:
m∠RSU + m∠UST = 180°
Substitute m∠UST with 62°.
m∠RSU + 62° = 180°
Subtract both sides by 62°.
m∠RSU = 118°
So, the answer is B, 118°
I hope this helps! Feel free to ask any questions!
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points ![(3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)](https://tex.z-dn.net/?f=%283%2C%20%5C%3A4%29%20%3D%20%28x_1%2C%5C%3Ay_1%29%5C%3Aand%5C%3A%20%289%2C%202%29%3D%28x_2%2C%5C%3Ay_2%29)
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:
![y-y_1 =m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%20%3Dm%28x-x_1%29)
Plugging the values of
in the above equation we find:
![y-4 =-\frac{1}{3}(x-3)](https://tex.z-dn.net/?f=y-4%20%3D-%5Cfrac%7B1%7D%7B3%7D%28x-3%29)
![\implies 3y-12 =-x+3](https://tex.z-dn.net/?f=%5Cimplies%203y-12%20%3D-x%2B3)
![\implies x+ 3y =12+3](https://tex.z-dn.net/?f=%5Cimplies%20x%2B%203y%20%3D12%2B3)
![\implies \huge {\orange{\boxed{x+ 3y = 15}}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%20%7B%5Corange%7B%5Cboxed%7Bx%2B%203y%20%3D%2015%7D%7D%7D)
This is the required equation of line in the form ![\red{\bold{ax + by = c}}](https://tex.z-dn.net/?f=%5Cred%7B%5Cbold%7Bax%20%2B%20by%20%3D%20c%7D%7D%20)