The sum of 1.5x and 16.5x is equal 180°.
1.5x + 16.5x = 180
18x = 180 |:18
x = 10
The angles 20y and 16.5x are the vertical angles, therefore:
20y = 16.5x
20y = 16.5(10)
20y = 165 |:20
y = 8.25
<h3>Answer: x = 10 and y = 8.25</h3>
Given points (-5,-1) and (5,9):
Let (x1,y1) = (-5,-1)
(x2,y2) = (5,9)
Use the following distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(5 — (-5))^2 + (9 — (-1))^2]
d = √[(5 + 5)^2 + (9 + 1)^2]
d = √[(10)^2 + (10)^2]
Add similar elements:
d = √[(10)^2 • 2]
The squared root of 10^2 is 10, so it goes outside the square root:
d = 10 √2
Therefore, the correct answer is Option 3:
d = 10 √2
Hope this helps :)
Answer: B. 2=3x+10x^2
Step-by-step explanation:
The expression means the quadratic function equation.
B = 10x^2 + 3x -2 = 0
the equation is [-b ±√(b^2 -4ac)]/2a
b should be +3 to become -3 when it is plugged into the equation, and 'a' should be 10, and c should be -2.
Answer:
Basketball 300
Football 100
Baseball 50
Soccer 150
Step-by-step explanation:
Half of the students would choose basketball
so 600/2 = 300
Half of the remaining students would choose soccer
so 300/2 = 150
2/3 of the remaining students would choose football
so 150 x 2/3 = 100
1/3 of the remaining students would choose baseball
150 x 1/3 = 50
