Answer:
The answer to your question is below
Step-by-step explanation:
Part A.
-3x + 7y = 13
Solve the equation for "y"
7y = 3x + 13
y = 
Part B.
Two lines are parallel if their slopes are the same
Two lines are perpendicular if their slope are opposite reciprocals
Slope of the first line = 
Slope of the second line =
Conclusion: the lines are parallel because their slopes are the same.
N% x 1.60 = 6 (I turned it from English to math)
Can't move n% back two places to make it a decimal so I will move the number I am multiplying by n% back two places instead.
Here is a sample to show you why it works. .34 x 57 = 34 x .57
So
.016n = 6 (.016 is 1.60 decimal moved back two places)
Now divide both sides by .016
<u>.016</u>n = <u>6
</u><u />.016 .016 n = 375%
Why is the percent over 100% you might ask?
What % of 1.60 is 1.60 (Answer - all of it or 100%)
So What % of 1.60 is 6 - the number 6 being much bigger than 1.60, it is not surprising that the percent is more than 100.
What % of 1.60 is 1.60 - 100%
What % of 1.60 is 3.20 - 200% (notice that 3.20 is twice 1.60)
What % of 1.6 is 4.80 - 300% (notice that 4.80 is three times 1.60)
What % of 1.6 is 6.40 - 400% (notice that 6.40 is four times 1.60)
6 (the number in the problem) is just a bit less than 6.40 so 375% makes a lot a sense.
Hope you found this helpful.
Answer:
The answer is actually A) -8.53
Step-by-step explanation:
The line of best fit has equation y = 2.1x - 0.55, so plugging in x = -3.8 yields -8.53 for y. I just did my USATestprep and this was the answer.
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
