Answer:
x=90-22
x=68
as the ray divide the right angle into 2
<h3>
Answer: 4</h3>
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Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
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Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
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Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
Answer:
y=57, x=77
Step-by-step explanation:
The line that creates x-3 is parrelell to the line that makes 74 degrees
You know that x-3=74
When you simplify you get x=77
Now that you know that x-3=74 you can add all the angles to 180 because they are a supplementary angle
74+41+(y+8)=180, then simplify
115+y+8=180, simplify more
123+y=180
y=57
Answer:
Each person would pay $15.71
Step-by-step explanation:
First we can calculate how much everyone ate by multiplying the bill amount by 120% (20% tip and 100% of the bill).
$52.35 * 120% = $62.82
Now to find out how much each pays, we have to divide that cost by the number of people (4).
$62.82/4 = $15.71
1 pound 2/3 + 1/3 = 3/3 simplify to get 1
