Answer:
First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.
5x = 3x+10 The variable should only be on one side of the equation,
5x - 3x = 10 Therefore subtract 3x from both sides
2x = 10 Divide by 2 on both sides.
x = 5
We're not done yet, since we've found the x-value we have to solve for ∠GEC.
∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°
∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°
90° = 25° + x In this case, we're using "x" to solve for ∠FEG
90-25 = x We subtract 25 from both sides to get the variable by itself.
65° = x
∠FEG = 65° The Answer is B
Step-by-step explanation:
Answer:
b. infinite solutions
Step-by-step explanation:
Therefore, the graphs are the same.
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Answer:
x=3
Step-by-step explanation:
-5(-6-3x)+8=83
Distribute the -5 to both terms in the parentheses by multiplication, multiply the -5 by the -6 and the -3x.
30+15x+8=83
Add like terms, add the 30 and the 8.
38+15x=83
Subtract 38 from both sides to isolate the x on the left side.
15x=45
Divide by 15 on both sides to solve for x.
x=3
Answer:
At least 1245 parts should be sampled.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How many parts should be sampled in order to estimate the population mean to within 0.1 millimeter (mm) with 95% confidence?
This is at least n parts, in which n is found when 
Rouding up
At least 1245 parts should be sampled.
1/2(x - 7) = 11
<em><u>Distributive property.</u></em>
0.5x - 3.5 = 11
<em><u>Add 3.5 to both sides.</u></em>
0.5x = 14.5
<em><u>Multiply both sides by 2.</u></em>
x = 29. (This is your answer.)
We can plug 29 into the original equation to verify.
1/2(x - 7) = 11
1/2(29 - 7) = 11
1/2(22) = 11
11 = 11 √ This is correct.
