Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Firstly, we will select three corner points
A=(2,3)
B=(6,8)
C=(7,4)
we are given
the transformation with the rule (x, y)→(x, −y)
y--->-y
so, it is reflected about x-axis
so, we will multiply y-value by -1
we get new points as
A=(2,-3)
B=(6,-8)
C=(7,-4)
now, we can locate these points and draw graph
we get
Answer:
Alberta's total overtime pay of the week was $ 145.80.
Step-by-step explanation:
Given that Alberta worked 6 hours at time-and-a-half pay, and 3 hours at double-time pay, and that the value of her regular work hour is $ 9.72, to determine the value of the pay of his overtime, the following equation must be performed:
6x1.5x9.72 + 3x2x9.72 = X
9x9.72 + 6x9.72 = X
87.48 + 58.32 = X
145.8 = X
Therefore, Alberta's total overtime pay of the week was $ 145.80.
Answer:
<h2>1. t=2m</h2>
Rewrite the equation as 2m=t.
2m=t
Divide each term by 2 and simplify.
m=t/2
<h2>2. y=2x+1</h2>
Isolate the variable by dividing each side by factors that don't contain the variable.
x=y/2−1/2
Step-by-step explanation:
Hope it is helpful....
