Answer: 1. C 2.B 3.C
Step-by-step explanation:
<span>22.5+7 (n-3.4)=19.8n
We simplify the equation to the form, which is simple to understand
<span>22.5+7(n-3.4)=19.8n
Reorder the terms in parentheses
<span>22.5+(+7n-23.8)=19.8n
Remove unnecessary parentheses
<span>+22.5+7n-23.8=+19.8n
We move all terms containing n to the left and all other terms to the right.
<span>+7n-19.8n=-22.5+23.8
We simplify left and right side of the equation.
<span><span>-12.8n=+1.3
</span>We divide both sides of the equation by -12.8 to get n.
<span>n=-0.1015625</span></span></span></span></span></span></span>
Answer:
X=26
Step-by-step explanation:
<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
Answer:
7 15 178
Step-by-step explanation:
