z° = 80° (Being corresponding angles)
y° + 80° = 180° (Being linear pair of angles)
=> y° = 180° - 80°
=> y° = 100°
x° = y° (Being interior opposite angles)
=> x° = 100°
Answer:
y = 3
Step-by-step explanation:
The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is
= 
( cross- multiply )
y² = 63 ( take the square root of both sides )
y = 
= 3
Answer:
21
Step-by-step explanation:
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Answer:
wait 3mm thats ow big my.........
Step-by-step explanation:
