In 13, x=27.496
In 14, x=16.824
In 15, x=51.34°
<em />I did this in my head; it would take longer to write it out. I'll show you the trig if need be.
y2-y1 =M(x2-x1)
Ok Sir, you gave points : (2,1) and (3,4)
4-1/3-2 = 3
Ok we know our slope is 3, now pick any of the two points, and make an equation for this line, so lets go ahead and pick #1, (2,1)
Formula is same as before
y-1=3x-6
y=3x-5
I think its correct, pick as brainless sir, thanks.
B if you need an explanation just comment
Remember when solving inequalities the sign of your inequality reverses when dividing or multiplying negative values. k/-12<15. k>-180 [-180, positive infinity)
ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.


Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,






y=1.857
The diameter is 2y

=2(1.875)
The length of a Diameter is 3.714