The answer is:
t=<span><span><span>2y</span>+1/</span><span>2<span>y
y=1/2t-2</span></span></span>
Based on the Congruent Supplements Theorem, <1 = <3 are congruent, given that <1 and <2 and <2 and <3 are supplements.
<h3>What does the Congruent Supplements Theorem say?</h3>
The Congruent Supplements Theorem shows that when two angles are considered to be supplements of a certain angle, then those two angles must be congruent.
Filling in the chart would therefore be:
<1 and <2 are
supplementary <1 = <3
<u>GIVEN </u> <u> Congruent Supplements Theorem</u>
<2 and <3 are
supplementary
<u>GIVEN </u>
Find out more on the Congruent Supplements Theorem at brainly.com/question/17385360.
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Answer:
x=2/3, y=0
Step-by-step explanation:
3x + 7y = 2,
6x - 5y = 4
Make the x coefficient the same in both equations.
3x + 7y = 2
(whole thing multiplied by 2)
6x + 14y = 4
Now subtract the equations to eliminate the x variable.
6x + 14y = 4
-(6x - 5y = 4)
19y = 0
<u>y = 0</u>
Substitute 0 for y in one of the equations.
3x + 7(0) = 2
3x = 2
<u>x = 2/3</u>
The correct answers are the x = 6 and x = 0.
In order to find this, we can follow the order of operations.
–4|–2x + 6| = –24
Divide by -4
|–2x + 6| = 6
Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.
-2x + 6 = 6
-2x = 0
x = 0
Now for the negative
-2x - 6 = -6
-2x = -12
x = 6
These would be your two answers.
Answer:
20.33%
Step-by-step explanation:
Principal = $2650
Total Interest = $300
Total amount = 42650+$300=$2950
Since we are given that You paid off the loan in 1 year by making 12 monthly payments
So, monthly payment = 
Formula of monthly payment = 
where i is the rate of interest in decimals
To find i substitute the values

using calculator

So, rate of interest in percent = 
Thus the annual percentage rate (APR) is 20.33%