Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
You just multiple my guy. 2:3 is like 2/3. What is 2/3 of 39
39*2/3 = 26
F is the answer lol BTW it's f
Answer:
x = 65
Step-by-step explanation:
The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles
Vertical angles are congruent (In other words, they are equal to each other)
Hence, 2x + 15 = 145
^ ( Note that we just created an equation that we can use
to solve for x )
Using that same equation we then solve for x
2x + 15 = 145
step 1 subtract 15 from each side
15 - 15 cancels out
145 - 15 = 130
we now have 130 = 2x
step 2 divide each side by 2
130 / 2 = 65
2x / 2 = x
we're left with x = 65
