45.0×5.0=50.0 is the awser
answer:
x = 4
y = 19
step-by-step explanation:
- we know that this is a parallelogram, so opposite sides are equal
- this is one of the properties of a parallelogram
therefore,
segment AB = segment DC <em>and</em> segment AD = segment BC
- now plug in the expressions according to what we know (& solve)
AB = DC
5x - 13 = 9x - 29
-13 = 4x - 29
16 = 4x
x = 4
AD = BC
3y - 11 = 2y + 8
y - 11 = 8
y = 19
Answer: Unit rate = 4/35 of a gallon per hour
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Work Shown:
3 & 1/2 = 3 + 1/2
3 & 1/2 = 6/2 + 1/2
3 & 1/2 = (6+1)/2
3 & 1/2 = 7/2
The faucet drips 2/5 of a gallon in 7/2 hours
2/5 gallon : 7/2 hours
2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2
4/5 gallon : 7 hours
(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7
4/35 gallon : 1 hour
The unit rate is 4/35 of a gallon per hour.
"Per hour" means "every 1 hour".
In triangle ABC:
∠1 = 90°
According to the angle sum property:
∠1 + ∠2 + ∠3 = 180
Since angle 1 is 90 degrees
∠2 + ∠3 = 180 - 90
∠2 + ∠3 = 90° [∠1 + ∠2 + ∠3 = 180]