(deleting when done) what are the measures of angles a, b, and c? show your work and explain your answers.

Angle a is a vertical angle with the 30 degree angle above it. We know two of the 3 angles measures in the triangle, 30, 90 and b. All the angles in a triangle = 180 degrees.

30 +90 =120

180 -120 = 60

The measure of b is 60 degrees

angle c and 75 degrees are supplementary angles since a line is 180 degrees.

we can subtract 75 from 180 to find the measure of c.

180-75 =105

Angle a: 30 degrees

Angle b: 60 degrees

Angle c : 105 degrees

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: