Two parallel lines are crossed by a transversal.

what is the value of y?

y = 30
y = 50
y = 110
y = 130

y= 50

Step-by-step explanation:

The angles that are formed  inside the two lines and on opposite sides of the transversal are known as alternate interior angles.

Consider the given figure , we can see that line b and line c are intersected by  a transversal so by the definition of alternate interior angles,

The alternate interior angles formed = and  

Since we are given that two parallel lines are crossed by a transversal.

Then the alternative interior angles must be congruent.

Hence, the value of y= 50

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:

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.