Answer:
42
Step-by-step explanation:
alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:
y - 10 = 32
y = 32+10
y = 42.
24.5 should be the missing number. 13.5 (13 1/2) + 5.5 is 19. 19 + 5.5 is *24.5*. 24.5 + 5.5 is 30. Basically, you go up by 5.5 every number.
The answer is 15.
If given the cos A = 8/17
<span>8 is the side containing angle A, 17 is the hypotenuse. Using either Pythagoras or knowing Right Triangle triples you get 15
hope this helps</span>
Answer:
1+1=2
2+2=4
4+3=7
7+4=11
so the patter is number + natural numbers (serially)
Step-by-step explanation:
To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are <span>A(1,1), B(0,2), and C(3,-2).
Midpoint of AB = (1/2, 3/2) - You can get the midpoint by getting the average of x-coordinates and y-coordinates.
Slope of AB = -1
Slope of perpendicular bisector = 1
</span>Equation of AB with slope 1 and the coordinates (1/2, 3/2) is
<span>y - (3/2) = (1)(x - 1/2)
</span><span>y = x+1
Do the same for AC
</span>Midpoint of AC = (2, -1/2)
Slope of AC = -3/2
Slope of perpendicular bisector = 2/3
Equation of AC with slope 2/3 and the coordinates (2, -1/2) is
y - (-1/2) = (2/3)(x - 2)
y = -11/6 + 2x/3
So <span>the perpendicular bisectors of AB and BC meet
</span>y = x+1
y = -11/6 + 2x/3
To solve for x,
(-11/6 + 2x/3) = (x+1)
x= -17/2
Now get y by substituting
y = (-17/2) + 1
y = -15/2
The circumcenter is (-17/2, -15/2)
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
