Answer:
9c -4d
Step-by-step explanation:
6c − 8d + 3c + 4d
Combine like terms
6c + 3c − 8d +4d
9c -4d
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
c = 11
Step-by-step explanation:
96 - 8c = 20 - 12 , that is
96 - 8c = 8 ( subtract 96 from both sides )
- 8c = - 88 ( divide both sides by - 8 )
c = 11
Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line
is 
Step-by-step explanation:
Given:
a line 
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
...........Given
Comparing with,

Where m =slope
We get

We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.
Now the equation of line in slope point form given by

Substituting the points and so we will get the required equation of the line,

Therefore, equation of the line that passes through (2,2) and is parellel to the line
is 
Answer:
Length of the fence required = 135 m
Step-by-step explanation:
Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid
Perimeter of ABCD = AB + BC + CD + AD
Since, AB = BC = EF = ED = 25 m
From the given right triangle BEC,
m∠EBC = m∠ECB = 45°
ΔBEC will be an isosceles triangle.
So, BE = EC
By Pythagoras theorem,
BC² = BE² + EC²
25² = 2(EC)²
EC =
m
And DC = (DF + EF + EC)
= EC + EF + EC [Since, DF = EC]
= 2EC + EF
= 35.4 + 25
= 60.4 m
Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25
= 135.4 m
≈ 135 m
Therefore, length of the fence required = 132 m