<h3>
Answer: Angle Q = 133 degrees</h3>
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Work Shown:
Recall that for any triangle, the three angles always add to 180
P+Q+R = 180
(x+13) + (10x+13) + (2x-2) = 180
(x+10x+2x) + (13+13-2) = 180
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12
Now that we know x, we can find the angle measures
- angle P = x+13 = 12+13 = 25 degrees
- angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
- angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees
As a way to check if we have the right answer or not, we see that,
P+Q+R = 25+133+22 = 180
So the answer is confirmed.
This is a system of equations.
Let L represent Lucia, and B represent Ben
The first equation is:
L + B = 150
The second one says that for every dollar ben saved, Lucia saved twice as much. So:
L = 2B
Now, solve the system
2B + B = 150
3B = 150
B = 50
L = 2(50)
L = 100
This means that Ben saved $50, and Lucia saved $100
Answer:
Kami will need 33.6 ounces of ground beef for the recipe
Step-by-step explanation:
From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.
Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces = 33.6 ounces of ground to make the recipe for the entire dinner.
