An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.

We need to determine the lengths.

Length of the remaining sides:

Let the length of the sides of the isosceles trapezoid be x.

Let a be the length of the shorter base.

Let b be the length of the longer base.

Thus, we have;

$a=3, b=4$

The formula to determine the length of the sides is given by

$Perimeter = a+b+c+d$

Substituting the values, we get;

$37=3+4+x+x$

$37=7+2x$

$30=2x$

$15=x$

Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.

6 0

3 years ago

What is empathy?

Airida [17]

Answer:

The correct answer is B. The ability to understand what another person is feeling.

Step-by-step explanation:

When we talk about empathy we mean the human capacity to connect emotionally with others, being able to not only understand but also perceive, recognize, and share the suffering, happiness,feelings and emotions of another person. Empathy is a highly valued characteristic in human behavior.

7 0

4 years ago

Find the equation of a line perpendicular to y=x-3 that contains the point (2,1)

murzikaleks [220]

Answer:

y = -x + 3

Step-by-step explanation:

y = x - 3 This equation has a slope of 1

A line that would be perpendicular to the above line would then need a slope of -1

If the line has a slope of -1 and passes through (2, 1) then we can plug into

y = mx + b to get the 'b' value

1 = (-1)(2) + b

1 = -2 + b

3 = b

Equation would be y = -x + 3

3 0

3 years ago