Answer:
x=237/7 and y=-199/7
Explanation:
Multiply the second equation by 2, then add the equations together.
(−2x+3y=−153)
2(x+2y=−23)
Becomes:
−2x+3y=−153
2x+4y=−46
Add these equations to eliminate x:
7y=−199
Then solve 7y=−199 for y:
7y=−199
(Divide both sides by 7)
y=−199/7
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−2x+3y=−153
Substitute −199/7 for y in−2x+3y=−153:
Add 597/7 to both sides
Divide both sides by -2
Answer:
So in this sequence, we are adding by 9 in each term
So our pattern is: 7 , 7 +9 , 7 + 2(9) , 7 + 3(9) .....
hence, we can write it as: 7 + 
where n is the number of the term you want
You have to add all the scores and dived by the 20 students, the result is 65.85%
Answer:
3 : 4 = 12 : 6
2 : 5 = 30 : 75
7 : 9 = 14 : 18
8 : 3 = 64 : 24
Step-by-step explanation:
3 : 4 = 12 : ?
3/4 = 12/?
3 x ? = 12 x 4
3 x ? = 48
? = 48 ÷ 3 = 16
2 : 5 = 30 : ?
2/5 = 30/?
2 x ? = 30 x 5
2 x ? = 150
? = 150 ÷ 2
? = 75
7 : 9 = ? : 18
7/9 = ?/18
7 x 18 = ? x 9
126 = ? x 9
? = 126 ÷ 9
? = 14
8 : 3 = 64 : ?
8/3 = 64/?
8 x ? = 64 x 3
8 x ? = 192
? = 192 ÷ 8
? = 24
In this situation I would use cosine to find m∠G.
Cosine = Adjacent side ÷ Hypotenuse
RG being the adjacent side and TG being the hypotenuse, you would set up the equation like this
cos(g) = 8/17
then solve
cos(g) = 0.47058
simplify
g = cos^-1(0.47058)
and you get
m∠G = 61.9°
So your answer would be 62°
