Answer:
x:y:z = 12:3:2
Step-by-step explanation:
x = 4y
2y = 3z ⇒ 4y = 6z
⇒ x = 4y = 6z
To find x:
Multiply the coefficients of y & z: 4 × 6 = 24
To find y:
Multiply the coefficients of x & z: 1 × 6 = 6
To find z:
Multiply the coefficients of x & y: 1 × 4 = 4
⇒ x:y:z = 24:6:4 = 12:3:2
one Brian's item cost: x
one Chris' item cost: x+2.5
Set up equation:
Brians amount = Chris amount
4*x = 3*(x+2.5)
solve for x:
4x = 3x + 7.5
x = 7.5
Brian's items cost $7.5 each.
Check:
Brian paid 4*7.5 = $30
Chris paid 3*10 = $30
The individual cost of Brian's items was $7.50, and the indiv. cost of Chris' items was $10.
Answer:
m∠7 = 140º
Step-by-step explanation:
m∠4 = m∠2 + m∠3
120 = 80 + m∠3
m∠3 = 40
m∠3 + m∠7 = 180
40 + m∠7 = 180
m∠7 = 140º
Step-by-step explanation:
2x + 5 = I / 2 ×16
2x=3
x=3/2
Answer:
x = 26 2/3 ~= 26.67
Step-by-step explanation:
Set up a proportion comparing like things.
It's easier to see if you write the small triangle separately.
See image.
I've done the calculation twice. Just look at the one that makes the most sense to you Obviously, it works out the same either way.