Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles 
and 
.
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
Now we have two equations. If we simplify them, we get these:
Now you can substitute in the first equation for in the second equation
Add to both sides of the equation
Add 
to both sides
Divide both sides by 3
Now, you can substitute 
for in the first equation and simplify.
Therefore,
, and 
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Answer:
PART A:
Line m: 1/2x + 6
Line n: 1/2x - 3
PART B:
The slope is the same in both lines
Answer:
25,000
Step-by-step explanation:
i think because 10 times 100 gets 1000 so now you have to do 250 times 100 to get 25,000
Answer:
See below.
Step-by-step explanation:
6.) (5)/6 ≤ 1 (Yes)
7.) 1.4(11) > 16
15.4 > 16 (No)
8.) 11.1 + 9.8 ≥ 21.01
20.9 ≥ 21.01 (No)
9.) 2.5 < (90)/30
2.5 < 3 (Yes)
10.) 1/2 > 3(1/6)
1/2 > 1/2 (No)
11.) 2.16 ≥ 3(0.6) - 0.5
2.16 ≥ 1.8 - 0.5
2.16 ≥ 1.3 (Yes)
12.) x < 2 (x is less than 2.)
13.) x ≥ -1 (x is greater than or equal to -1.)
Answer is 2263.
Checkpoint 1 is -86
Checkpoint 4 is 2177
Subtract -86 from 2177....2177-(-86)
=2263
2263 is how much higher checkpoint 1 (-86) is from checkpoint 4 (2177)
Hope this helps! :)
