The school nurse told Sarah she was 1.4 meters tall. When she got home, Sara measured her height herself. Her measurement included a digit in the hundredths place. That digit had a value that is the value of the digit in the tenths place. How tall did Sara measure herself to be?

1.44 meters

Step-by-step explanation:

Given that:

As per the nurse, height of Sarah = 1.4 meters

Let us have a look at the number and let us analyze each digit.

Here is only one digit after the decimal place which is the tenths place.

It is given that Sarah measured the height herself.

And also added a digit at the Hundredth place i.e. a digit after 4 will be added.

1.4_  --- In place of _ , a digit will be added.

As per the question statement, Digit at the Hundredth place will be equal to  the digit at the Tenth's place.

Therefore, the height measured by Sarah herself will be equal to 1.44 meters.

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4             (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

2y - x + 29 = 180

2y - x = 180 -29

2y - x = 151             (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

x = -98 - 151

x = -249