Complementary angles add up to 90'
So let X= angle 1
Y=angle 2
So x+y=90
let x=y-78
so(y-78)+y=90
y-78+y=90
2y-78=90
2y=90+78
2y=168
y=168/2
y=84
x=y-78
so x=84-78
x=6
And 6+84=90
So the measure of the angle is 6 degrees.
Hope i helped!
Q is congruent to P because they’re both got the same x and y number the x is 5 and -5 and for y is 3 and -3.
Answer:
The price: 16.5
The total payment: 18.82
=> The amount of tax: 18.82-16.5 = 2.32
=> Tax rate = The amount of tax / The price = 2.32/16.5 = 0.14 = 14%
Answer:
Step-by-step explanation:
Two angles are said to be supplement when their measure add up to 180 degrees.
Assume that the angle we are looking for is a and its supplement is s (I used s instead of x).
a + s = 180
a = 180 - s ......> equation I
We know that <span>the measure of the angle is eight times greater than its supplement.
This means that:
a = 8s ......> equation II
Substitute by equation II in equation I to get s as follows:
180 - s = 8s
180 = 9s
s = 20 degrees
Substitute in equation I to get the measure of the angle as follows:
a = 180 - s = 180 - 20 = 160 degrees
Based on these calculations:
The measure of the angle is 160 degrees
The measure of its supplement is 20 degrees</span>
