Answer:
12
Step-by-step explanation:
5^2 + x^2 = 13^2
x = 12
we know that
The measure of the external angle is the semidifference of the arcs that it covers
so
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
Let
x------> minor arc MN
major arc MN=360-x
substitute in the formula above
∠MLN=(1/2)*(mayor arc MN-minor arc MN)
75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x
x=104.14°
therefore
the answer is
the measure of arc MN (minor arc) is 104.14°
Well lets assume that NO = NP. If this is the case then 17 = 5x - 6. We then want to solve for x. So add 6 to each side, this equals 23 = 5x. I do not know if it is suppose to be a decimal, but I will do it anyway. Divide 23 by 5 which is 4.6. So x = 4.6. Now plug this into x. So NO = 17 and NP = 17. This is the only way I see possible to solve this problem. Let me know if it was correct please.
A triangle has three angles, and their measures add up to 180 degrees.
An isosceles triangle has at least 2 congruent sides, and the angles opposite the congruent sides are congruent.
This triangle has one angle of 40 deg, and two angles that measure the same; call the measure of each base angle x.
x + x + 40 = 180
2x + 40 = 180
2x = 140
x = 70
The base angles measure 70 deg.