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°
In the year of 2016 1000 high school students graduated from L.D. Bell, 5/6 of the students were A-Honor Roll. 1/12 of those were in NHS. How many of the student were in NHS out of the A-Honor Roll students?
Answer:
aC N Saxl wfm sf ,ms
Step-by-step explanation:
z.mv. v,sf vnmfv
If the width is w and the length is l, then 2w=l. In addition, l*w=88200 (using the area formula). Plugging 2w in for l, we get 2w*w=88200=2w^2. Dividing both sides by 2, we get w^2=44100 and w=sqrt(44100)=210.
Answer:
4 and 5
Step-by-step explanation:
xy = 20
x = 2y - 3
(2y-3)y = 20
2y^2 - 3y = 20
2y^2 - 3y - 20 = 0
Solve the quadratic equation
you get y = 4, -5/2
Use 5 since it is one of the options
xy = 20, y = 4
x = 5
