I'd go with your third option, 6.
Half the diameter (the radius, also the hypotenuse for the right triangle) is 10 units.
Half of the chord given by that blue line segment is 8 units. Now we do the Pythagorean Theorem (a² + b² = c²) to find the length of x.
x² + 8² = 10²
x² + 64 = 100
x² = 36
√x² = √36
x = 6
All quadrilateral angles have to add up to a total of 360°, so we just need to add the angles we already have and subtract that from 360.
135+90+80=305
360-305=55 so your answer is 55!
Answer:
x = 1/3
Step-by-step explanation:
15 = 1/2 + 3/2x + 10
15 - 1/2 -10 = 3/2x
9/2 = 3/2x
9 x 2x = 3 x 2
18x = 6
x = 6/18
x = 1/3
Answer:
x=53/9
Step-by-step explanation:
(x-2):5=7:9
9x-18=35
9x=35+18
9x=53
x=53/9
Answer:
y = 1/2x+4
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
= (3-6)/(-2-4)
= -3/-6
=1/2
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =1/2x+b
Substitute one of the point into the equation
6 = 1/2(4) +b
6 = 2+b
b=4
y = 1/2x+4
