Really lovely.
Looking at the angles y and (2y-6), they are opposite interior angles of two parallel lines. Their sum is 180.
y + (2y -6) = 180
3y - 6 = 180
3y = 180 + 6
3y = 186 Divide both sides by 3.
y = 186/3 = 62. y = 62.
y + w = 180 sum of angles on a straight line.
62 + w = 180
w = 180 -62 = 128
w = 128.
Looking at the triangle:
w + z + 30 = 180 Sum of angles in a triangle, substituting w.
128 + z + 30 = 180
z + 158 = 180
z = 180 - 158 = 22.
z = 22.
x = z Alternate angles between parallel lines are equal.
but z = 22.
Therefore, x = 22.
Cheers.
Download Photo math it will help u a lot with steps
Answer:
28 questions
Step-by-step explanation:
In the first 10 mins she answered 2/5 of 40 which is 16. The remaining amount is 24 questions and half of that is 12. So she answered 12 questions in 15 mins. Finally you add them to get 28 questions in 25 minutes.
Answer:
42/37
Step-by-step explanation:
42/n - 35 = 2 Multiply everything by 7 to get rid of the fraction
42 - 35n = 2n Multiply everything by n
42 = 37n Move 35n to the right side
42/37 = n Divide by 37