The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment

Mathematics

1 answer:

iVinArrow [24]2 years ago

8 0

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75 Eqn 1

And

one the segments are four times the other

x=4y Eqn 2

$Putting\ x=4y\ in\ equation\ 1$

$4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60$

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

Vocab cards: Use this word in a sentence or give an example to show you understand its meaning.

deff fn [24]

1. I found the area of this hard math equation
2. I don’t know the formula to this do you?
3. So the equation says to find the length that miles ran
4. I don’t think we divide we should try to multiply first
5. Let me see how we can find the perimeter of this
6. My package came in a rectangle shape so I couldn’t tell what it was
7. I always get mixed up between a square and a rectangle
8.The apartments are in the shape of a square unit
9. After we find the length we have to find the width to solve this problem

3 0

2 years ago

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

Romashka-Z-Leto [24]

Answer:

The solution to the system of the equations will be:

$x=3,\:y=1$