Answer:
![Slope\:\: \overline{AC} =1](https://tex.z-dn.net/?f=Slope%5C%3A%5C%3A%20%5Coverline%7BAC%7D%20%3D1)
Step-by-step explanation:
A is on the same point on the x-axis as B and the same point on the y-axis as D
- Therefore, the coordinate of A is (0,0)
C is on the same point on the x-axis as D and the same point on the y-axis as B.
- Therefore, the coordinate of C is (a,a)
We are to determine the slope of the line joining A to C.
![Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1](https://tex.z-dn.net/?f=Slope%2C%20m%20%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%5C%5C%28x_1%2Cy_1%29%3D%280%2C0%29%2C%28x_2%2Cy_2%29%3D%28a%2Ca%29%5C%5C%24Therefore%2C%20Slope%20of%20AC%24%5C%5Cm%20%3D%5Cdfrac%7Ba-0%7D%7Ba-0%7D%5C%5C%3D%5Cdfrac%7Ba%7D%7Ba%7D%5C%5C%5C%5C%3D1)
![Slope\:\: \overline{AC} =1](https://tex.z-dn.net/?f=Slope%5C%3A%5C%3A%20%5Coverline%7BAC%7D%20%3D1)
Answer:
x = 5
Step-by-step explanation:
a || b and a line intersecting them is their transversal.
![\therefore m\angle 1=m\angle 5\\(corresponding \:\angle 's) \\\\\therefore 60 - 2x = 70 - 4x\\\\\therefore 4x - 2x = 70 - 60\\\\\therefore 2x = 10\\\\\therefore x =\frac{10}{2} \\\\\huge \orange {\boxed {\therefore x = 5}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20m%5Cangle%201%3Dm%5Cangle%205%5C%5C%28corresponding%20%5C%3A%5Cangle%20%27s%29%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2060%20-%202x%20%3D%2070%20-%204x%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%204x%20-%202x%20%3D%2070%20-%2060%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%202x%20%3D%2010%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20x%20%3D%5Cfrac%7B10%7D%7B2%7D%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Corange%20%7B%5Cboxed%20%7B%5Ctherefore%20x%20%3D%205%7D%7D)
Answer:
Step-by-step explanation:
we have f=-6.5
-2.75- (-6.5)= -2.75+6.5=3.75
change 3/4 to 6/8 and add 6/8 and 1/8 to get 7/8
he walked 7/8 miles in total :)
Answer:
240
Step-by-step explanation: