427.26 yards- I am pretty sure.
Answer:
$2668.63
Step-by-step explanation:
If the average of 4 months is $5
Meaning the total sum for 4 months
4×5 =$20
If the average for the year was $1780.75
It means the total sum for a year is;
$1780.75×12 =$21369
This means the money received for the remaining 8 months is;
$21369-$20=$21349
Hence the average income for the remaining 8months is ;
The total amount for 8 months / 8;
$21349/8= $2668.625
$2668.63
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
Answer:
x=15
Step-by-step explanation:
Hello there!
The shown angles are vertical angles
if you didn't know vertical angles are congruent
That being said we can create equation
5x + 40 = 115
now we solve for x
step 1 subtract 40 from each side
40 - 40 cancels out
115 - 45 = 75
now we have 75 = 5x
step 2 divide each side by 5
5x/5=x
75/5=15
we're left with x = 15
Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
