Answer:
x = 8
y = 21
Step-by-step explanation:
The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement
7x + 12 = 12x - 28
12 + 28 = 12x - 7x
40 = 5x divide both sides by 5
8 = x
The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°
12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation
12 × 8 - 28 + 9y - 77 = 180
96 - 28 - 77 = 180 add like terms
9y - 9 = 180
9y = 189 divide both sides by 9
y = 21
A)
Because the sum of angles in a triangle must equal 180° we can say:
62+α+90=180
α+152=180
α=28°
b)
Since all sides have equal length, all angles must have equal measure. (This is an equilateral triangle). And again, because the sum of the angle must be 180° we can say:
b+b+b=180
3b=180
b=60°
Answer:
i think the answer is 8/12 but im not sure though
Step-by-step explanation:
Answer: Maggie used 1 1/2 hours
Elizabeth used: 3 × 1 1/2 = 4 1/2 hours
Step-by-step explanation:
Let the time used by Maggie be x
Since it It takes Elizabeth three times as long as Maggie to clean her room. Elizabeth will use: = 3 × x = 3x
Therefore, x + 3x = 6
4x = 6
x = 6/4 = 1.5 hours
Maggie used 1 1/2 hours
Elizabeth used: 3 × 1 1/2 = 4 1/2 hours