In △mnk mn = nk, m∠n = 110º, mk = 5. find mn.

Step-by-step explanation:

we know that

The triangle ΔMNK,  is an isosceles triangle, because has two equal sides, then has two equal angles

∠M =∠K

MN = MK

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

∠M + ∠N + ∠K = 180°

∠M=∠K

2∠M = 180° - 110°  

∠M = 70°/2 = 35°

∠K= ∠M = 35°

see the attached figure to better understand the problem

Applying the law of sines determine the length side MN

Solve for MN

substitute the values

s

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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