Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is 
.
Two angles are complements of one another if their sum is 
.
Let 
be the measure of the angle in question.
The supplement of this angle would be 
.
The complement of this angle would be 
.
According to the question:
.
Solve this equation for 
:
.
Thus, this angle would measure should .
The supplement of this angle would measure 
. The complement of this angle would measure 
.
Three times the complement of this angle would be 
, which is indeed 
greater than the supplement of this angle.
Answer:
$123.25
Step-by-step explanation:
A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or 1.45:
1.45($85) = $123.25
A. 12•8=96, 96/2=48, 48•4=192, 12•12=144, 192+144=336
Answer: 17.5 gallons
Step-by-step explanation:
The formula to solve this question will be: g = d/m
where, g = number of gallons of gasoline used
d = distance travelled = 315 miles
m = miles per gallon = 18 miles/gallon
Therefore, the number of gallons of gasoline that Darnell will need to travel 315 miles will be:
g = d/m
g = 315/18
= 17.5 gallons
Answer:
is a way to express the definition of a circle on the coordinate plane.
Step-by-step explanation:
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.
