M < 2 = m < 6...corresponding angles
m < 5 = m < 8....vertical angles are congruent
Answer:
x = 0.667 and y = -0.6
Step-by-step explanation:
Given that,
6x + 5y = 1 ....(1)
6x - 5y = 7 ...(2)
We need to solve the above equations.
Subtract equations (1) and (2)
6x + 5y -(6x - 5y) = 1-7
6x+5y-6x+5y = -6
10y=-6
y = -0.6
Put the value of y in equation (1).
6x + 5(-0.6) = 1
6x = 1-5(-0.6)
6x = 4
x = 0.667
Hence, first step is to subtract equation (1) and (2) then put the value of y in equation (1).
Answer:
240/r = h
Step-by-step explanation:
480π = πr2h Write out the equation
480 = r2h Cancel out π on both sides
240 = rh Divide by 2 on both sides
240/r = h Divide by r to isolate h and get your answer
Area=legnth times width
192=(9+x)(13+x)
solve
expand
192=117+22x+x^2
minus 192 both sides
0=x^2+22x-75
factor
0=(x-3)(x+25)
set to zero
x-3=0
x=3
x+25=0
x=-25
not possible since that gives negative legnths and widhs
increased by 3
shorter is 9
9+3=12
C is ansre
We have two widths of the same length plus one length
Let the width be

and the length be

Perimeter = 2×width + 2×length


(equation 1)
The cost is $5 per foot on the width and $25 per foot on the length
Total cost = (5 × 2 × width) + (25 × length)

(equation 2)
We have two variables that we need to solve, so we will need to use the simultaneous equations method (either elimination or substitution)
Since equation 1 is given

, we can rearrange the equation to make

the subject

then substitute this into equation 2








Substitute w = 75 back into 190 = w + l
190 = 75 + l
l = 190 - 75
l = 115
Answer:
Length = 115 feet
Width = 75 feet