Answer:
The equation of line in the form of Ax + By = C is: ![\mathbf{4x+y=-17}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x%2By%3D-17%7D)
Step-by-step explanation:
We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)
First we need to find slope and y-intercept of the line.
The slope is given i.e. m = -4
Now, we need to find the y-intercept
Using the point (-2,-9) and slope m = -4, y-intercept can be found using:
![y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C-9%3D-4%28-2%29%2Bb%5C%5C-9%3D8%2Bb%5C%5Cb%3D-9-8%5C%5Cb%3D-17)
Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:
![y=mx+b\\y=-4x-17](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D-4x-17)
Now writing in form of Ax + By = C
![y=-4x-17\\4x+y=-17](https://tex.z-dn.net/?f=y%3D-4x-17%5C%5C4x%2By%3D-17)
So, the equation of line in the form of Ax + By = C is:
.
Answer:
a. angles A and C
b. angles B and D
Step-by-step explanation:
When two lines are parallel, it implies the value of the angle between them is
. Thus the lines can not meet when extended continuously.
Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.
Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.
i.e < A = < C (alternate interior angle property)
<B = < D (alternate interior angle property)
Answer:
66.24 (This answer does not match to any of the options...)
Step-by-step explanation:
This shape can be divided into 2 different shapes. A triangle and a rectangle.
Area of a Triangle =
× base × height
=
× 8.8 × 7.8
= 34.32
Area of a Rectangle = Length × Width
= (19.2 - 7.8) × (8.8 - (3+3))
= 11.4 × 2.8
= 31.92
Total area = 34.32 + 31.92 = 66.24
Please restate the question