Given:
ΔABC is an equilateral triangle.
AB = 7.5x, BC = 6x + 3 and CA = 10x - 5
To find:
The value of x.
Solution:
In equilateral triangle, all sides are equal.
AB = BC = CA
Take any two sides only:
AB = BC
Subtract 6x from both sides.
Divide by 1.5 on both sides.
The value of x is 2.
Answer:
Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance.
Explanation:
For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km.
The problems to be solved here will have a few more steps than described above. So to keep the information in the problem organized, use a table. An example of the basic structure of the table is below:
To get the total number of games possible, we will use the combination formula.
Total number of games :
= 45
Total of 45 games in the whole tournament.
Meanwhile, if there would be boy-versus-boy, we will have
The answer is 10.
The fraction for boy-versus-boy game will be
10/45 or 2/9 when simplified.
5 is a whole number that is grater than 1
the change in the scale factor is 
.Correct option C) StartFraction 45 feet over 40 feet EndFraction
<u>Step-by-step explanation:</u>
Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:
Initially the ratio of width to actual width is :
⇒ 
Now , After 45 ft is changed to 40 ft , New ratio becomes :
⇒ 
So , change in scale factor is from to i.e.
⇒ 
⇒ 
⇒
Therefore , the change in the scale factor is .Correct option C) StartFraction 45 feet over 40 feet EndFraction
