Answer:
m∠1= 79
Step-by-step explanation:
What we have here is two vertical lines and one intersecting point.
The m∠1 and m∠6 are vertical angles, which means that they equal to each other. So, the equation would be: 6x+25= 10x-11.
Step 1- Subtract 6x to both sides.
6x+25= 10x-11
-6x -6x
25= 4x-11
Step 2- Add 11 to both sides.
25= 4x-11
+11 +11
36= 4x
Step 3- Divide both sides by 4.
<u>36</u>= <u>4x</u>
4 4
x= 9
Now that we know the value of the variable x, substitute it into the equation for m∠1.
m∠1= 10(9)-11
m∠1= 90-11
m∠= 79
<u>Check </u>
m∠6= 6(9)+25
m∠6= 54+25
m∠6= 79
Since m∠1 and m∠6 are vertical angles, they should equal each other.
Answer:
Left 3 units and up 6 units
Step-by-step explanation:
If you need to evaluate the answer is 1.2
The <em>correct answer</em> is:
|w-20| ≤ 0.12.
Explanation:
We first find the average of the two ends of the inequality:
(19.88+20.12)/2 = 40/2 = 20
This will be the number subtracted from w in the inequality.
Now we find the difference between this value and the ends:
20-19.88 = 0.12
20.12 - 20 = 0.12
This will be what our absolute value inequality ends with; the "answer" part, so to speak.
Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."
This gives us
|w-20| ≤ 0.12
