Answer:
x = 8
y = 29
Step-by-step explanation:
By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.
Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.
Hence one can say that;
4x + 17 = y + 20
Inverse operations;
4x + 17 = y + 20
-17 -17
4x = y + 3
-3 -3
4x - 3 = y
Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.
When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.
Based on that, one can say;
5x + 9 = y + 20
Earlier it was found that;
y = 4x - 3
Now substitute that into the previous equation, and solve using simplification and inverse operations;
5x + 9 = 4x - 3 + 20
5x + 9 = 4x + 17
-9 -9
5x = 4x + 8
-4x -4x
x = 8
Back solve to find y
y = 4x - 3
y = 4(8) - 3
y = 32 - 3
y = 29
Area=l x l
32cm=2L
divide both sides by 2
L=16cm
I say subcategory would be a good answer
Answer:
Withholding taxes
Federal income tax withheld= $100.24
OASDI tax withheld=$24.86
HI tax withheld=$5.81
Utah income tax withheld=$20.05
Gross amount= $400.96
Step-by-step explanation:
Amount per employee(desired net pay)= $250.00
Federal rate=25%=0.25
OASDI tax=6.2%=0.062
HI tax witheld= 1.45%=0.0145
Utah income tax=5%=0.05
Combined taxes= 0.25+0.062+0.0145+0.05=0.3765
Gross pay=Desired net pay/(1-all taxes)
Gross pay= 250/(1-0.3765)=250/0.6235=400.96
Working backwards
Since we have gross bonus of $400.96
Federal income tax withheld is 0.25of$400.96= $100.24
OASDI tax is 0.062of$400.96=$24.86
HI tax is 0.0145of$400.96=$5.81
Utah income tax is 0.05of$400.96=$20.05
Total deductions=$100.24+$24.86+$5.81+$20.05= $150.96
Net income is $400.96-$150.96= $250.00
Perimiter is adding up all sides A+B+C+D.
Rectangles have two sets of parallel lines the height and the width.
If we know one of the heights is 7 the. We can conclude the parallel side is also 7
So then the total perimiter 34 minus the heights is 20.
We know that there is another set of parallel sides, remaining and 20 is how perimiter is left
… so if you divide by 2 your left with one side which is the width
Answer 10
