Answer:
80° , 100°, 80°
Step-by-step explanation:
∠ 1 and ∠ 2 form a straight line and sum to 180° , then
2x + 40 + 2y + 40 = 180
2x + 2y + 80 = 180 ( subtract 80 from both sides )
2x + 2y = 100 → (1)
∠ 1 and ∠ 3 are vertical angles and are congruent , then
2x + 40 = x + 2y ( subtract x from both sides )
x + 40 = 2y ( subtract 40 from both sides )
x = 2y - 40 → (2)
Substitute x = 2y - 40 into (1)
2(2y - 40) + 2y = 100
4y - 80 + 2y = 100
6y - 80 = 100 ( add 80 to both sides )
6y = 180 ( divide both sides by 6 )
y = 30
Substitute y = 30 into (2)
x = 2(30) - 40 = 60 - 40 = 20
Thus x = 20 and y = 30
Then
∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°
∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°
∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°
Answer:
8
Step-by-step explanation:
compare the divisor x+1 with x-a which will be -1 then use remainder theorem to get your answer
The correct answer is B.
To increase the median you have to add or subtract a whole number from the set. Because this just changed the value of one of them the median stays the same.
Answer:
136
Step-by-step explanation:
No matter what the distribution, all of the interior angles of a convex hexagon will add up to 720 degrees. Therefore, if you subtract all of the known angles in this hexagon from 720, you will find x.
720-134-106-117-119-108=136 degrees. Hope this helps!
Answer:
x= -8, y= -6/5, z= -6
Step-by-step explanation:
that is the answer
