Answer:
12.33
Step-by-step explanation:
Triangle ABC and triangle XYZ are similar.
Side BC = Side YZ
48 : 8
Side CA = Side ZX
42 : 7
Divide them both
48 ÷ 8 = 6
42 ÷ 7 = 6
Side AB = Side XY
74 : ?
Divide 74 by 6
74 ÷ 6 = 12.33
Side AB is 12.33
Answer:
x = 27/7 and y = -3/7
Step-by-step explanation:
In order to solve this, we will first solve the first equation for y.
y + 4 = 2/3(x -1)
y + 4 = 2/3x - 2/3
y = 2/3x - 14/3
Now we can plug the value of the equation in for y in the second equation and use it to solve for x.
x + 2y = 3
x + 2(2/3x - 14/3) = 3
x + 4/3x - 18/3 = 9/3
7/3x - 18/3 = 9/3
7/3x = 27/3
x = 27/7
Then we can use this value to find the value of y.
x + 2y = 3
27/7 + 2y = 3
27/7 + 2y = 21/7
2y = -6/7
y = -3/7
The answer is 12. I got it by dividing 2/3 into 8. I used keep change flip. First I made 8 a fraction by putting one as it's denominator. Then I changed division to multiplication. After that, I flipped the fraction from 2/3 to 3/2. Then I multiplied across. My answer was 24/2. I simplified and got my final answer of 12.