Answer:
x=30°
y=15°
z=150°
Step-by-step explanation:
2x+90+x=180°
2x=180°-90°
x=90/3
x=30
2y=x
y= 30/2
y=15°
2y°+z°=180°
2(15°)+z°=180°
z=180°-30°
z=150°
Hope it helps! :)
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
The answer to your question is letter B.
Step-by-step explanation:
Data
Center = (-10, 6)
radius = 8
Process
1.- To find the answer to your question just substitute the values in the standard form of the circle.
Equation
(x - h)² + (y - k)² = r²
h = -10
k = 6
r = 8
Substitution
(x + 10)² + (y - 6)² = 8²
Simplification
(x + 10)² + (y - 6)² = 64
You can do this by finding a number close to it, and then finding out how to do it.
For example with 63(square root sign), find out what is close to it.
7x7=49 while 8x8=64
Because of this, we now know that it is between 7 and 8 but is also really close to 8.
Our number could be 7.9
Hope this helped!!!
