Hello from MrBillDoesMath!
Answer:
a) See Discussion below
b) Don't know what "m" refers to
Discussion:
Part a)
A triangle contains 180 degrees.
A + B + C = 180 (*)
where A is the angle inside the triangle.
From the diagram
B +C = 62 + 78 = 140
Substituting this in (*) gives
A + (140) = 180 => subtract 140 from both sides
A = 180 - 140 = 40
Now a line has 180 degrees so x + A = 180. But A = 40 (shown above) so x+ 40 = 180, or x = 140. That is, x = 140 - the sum of the measures of the two nonadjacent interior angles
Part b)
I can't answer this part is it is unclear what "m" refers to. Sorry.
Thank you,
MrB
Answer:
X is 4
Step-by-step explanation:
You would distribute 9 to X and -1 to get 9x-9=-45 then you would add 9 to -45 and get 9x=36 then after dividing 9 the answer is 4
Answer:
His employer contributes with $4712.53 towards his health insurance on an annual basis.
Step-by-step explanation:
With the information provided, you know that Billy's employer pays 65% of his health insurance premium and you can subtract this from 100% to know the percentage that Billy has to pay:
100%-65%=35%
Also, the information states that Billy has $105.73 withheld from his paychecks twice each month and you can multiply this for 24 to find the total amount that he pays per year and that represents 35%:
$105.73*24=$2537.52
Finally, you can use a rule of three to found the amount that represents 65% which would be what his employer pays given that $2537.52 represent 35%:
2537.52 → 35%
x ← 65%
x=(2537.52*65)/35
x=$4712.53
According to this, the answer is that his employer contributes with $4712.53 towards his health insurance on an annual basis.
