In parallelogram defg, dh = x + 1, hf = 3y, g h = 3 x − 4 , and he = 5y + 1. find the values of x and y. the diagram is not drawn to scale.

The value of x and y is 5 and 2 respectively.

Step-by-step explanation:

Since we know that "Diagonals of parallelogram bisects each other":

So, we have given that

in parallelogram DEFG,

DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1.

so, According to question, as shown in the figure below:

Similarly,

Using Substitution Method to solve system of equation:

From eq(1), we get

Putting the value of x in eq (2), we get

Now,, put the value of y to get the value of x:

Hence, the value of x and y is 5 and 2 respectively.

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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