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6 votes
6 votes
Find the value of each variable.
(5x)"
5y + 11)
(4y - 10)

Find the value of each variable. (5x)" 5y + 11) (4y - 10)-example-1
User Seb Boulet
by
2.9k points

1 Answer

21 votes
21 votes

Answer:

x = 18

y = 15

Explanation:

The two lines that are parallel tell us that x is 18 because there is a 90-degree angle. 90° / 5 = 18, so x must be 18.

The y is a bit more complicated, but still fully solvable. "All quadrilaterals' interior angles sum to 360°" so we can find y by doing the following:

Equation: 90° + 90° + (4y - 10)° + 5(y + 11)° = 360°

Distribute: 90° + 90° + 4y - 10° + 5y + 55° = 360°

Combining like terms: 225° + 9y = 360°

Subtracting 225 from both sides: 9y = 135°

Divide both sides by 9: y = 15

I hope this helps, have a nice day :D

User Julien Bourdic
by
3.0k points