Answer:
SUM OF ALL ANGLES OF A TRIANGLE =180
THEREFORE,
X+8+2X-3+6X-5=180
9X=180
X=20.
THEREFORE,<J=X+8=20+8=28
<K=6X-5=6*20-5=120-5=115
<L=2X-3=2*20-3=40-3=37.
Answer:
52.40
Step-by-step explanation:
Discussion
Suppose the meal starts out as x.
She pays 5% of x as a sales tax
So that brings the total up to 100% + 5% = 105%
Before paying, she pays 20% on x as her tip. The tax does not touch the tip.
So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.
So 125% of x = 65.50 change the % to a fraction
125/100 * x = 65.50 Multiply both sides by 100/125
125/100 * 100/125x = 100/125 * 65.50
x = 100/125 * 65.50 Multiply by 100
x = 6550 / 125 Divide by 125
Check
Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62
Tip = 20%*52.40 = 20/100 * 52.40=10.48
Meal = 52.40
Total 65.50 Just as it should
we can see that the center is (-3, 3) and the radius is 9 units.
<h3 /><h3>
How to find the center and radius of the circle?</h3>
The general circle equation, for a circle with a center (a, b) and radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + y^2 + 6x = 6y + 63
Let's complete squares:
x^2 + y^2 + 6x - 6y = 63
(x^2 + 6x) + (y^2 - 6y) = 63
(x^2 + 2*3x) + (y^2 - 2*3y) = 63
Now we can add and subtract 9, (two times) so we get:
(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63
(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2
(x + 3)^2 + (y - 3)^2 = 9^2
Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.
If you want to learn more about circles:
brainly.com/question/1559324
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<span>Answer:
8.517 in word form is eight and five hundred seventeen thousandths or eight</span>
Answer:
They are all multiplied by 6