Answer:
x = 35.4
Step-by-step explanation:
Sum of all interior angles in a triangle = 180°
Therefore:
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
x + 2 + 2x + 2 + 2x - 1 = 180
Collect like terms
x + 2x + 2x + 2 + 2 - 1 = 180
5x + 3 = 180
Subtract 3 from each side
5x + 3 - 3 = 180 - 3
5x = 177
Divide both sides by 5
5x/5 = 177/5
x = 35.4
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°
Answer:
6a+150+18c
Step-by-step explanation:
6(a+25+3c)
6a +6 x 25 +6 x 3c
6a + 150+6 x 3c
6a +150 +18c
Answer:
12,376.
Step-by-step explanation:
The order in which they are chosen does not matter so this is a combination NOT a permutation.
That is 17C11
= 17! / (11! 6!)
= (17*16*15*14*13*12) / (6*5*4*3*2*1)
= 12376.
