Answer:
x = 1
y = 30°
Step-by-step explanation:
is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':
20x-3 = 5x+12
15x = 15
x = 1
we also know that RS intersecting with TU creates a 90° angle
if 3y = 90 then y = 30
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Answer:
.208333... (as a fraction 5/24)
Step-by-step explanation:
5 divided by 8 = 0.625
.625 divided by 3 = .208333...
5/24
5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.
First thing we gotta do is find the unit rate:
800 divided by 2.5 = 320
And now your problem is complete! The unit rate or square foot per hour is 320 square feet per hour!
Hope this helps, if not, comment below please!!!
Answer:Alden is 13 years old
Step-by-step explanation
Let x represent Alden's age.
Let y represent the age of his sister.
Let z represent the age of his second sister.
His sister is 5 years older than he is and 3 times as old as his second sister. This means that
y = x + 5
y = 3z
Alden's brother is 4 years younger than his second sister. It means that his brother's age is
z - 4
His brother is 2. It means that
z - 4 = 2
z = 2 + 4 = 6
y = 3z
y = 3 × 6 = 18
Substituting y = 18 into y = x + 5, it becomes
18 = x + 5
x = 18 - 5 = 13