150 divided by 25 equals 6. 6 times 3 equals 18. This means that you will spend $18 on gas each week.
The length of ST is 10 units, the length of S't" is 2 units.
This means the dilated figure was decreased by a factor of 5.
Because it is smaller it would be a scale factor of 1/5 ( 0.2 as a decimal).
Given :
▪︎This triangle is an isosceles triangle.
▪︎Measure of one of its legs = 6 inches
▪︎Measure of its equivalent leg
inches
▪︎Measure of its base
inches
Which means :
![=\tt 6 = \frac{x}{9}](https://tex.z-dn.net/?f=%20%3D%5Ctt%206%20%3D%20%20%5Cfrac%7Bx%7D%7B9%7D%20)
![=\tt \frac{6}{1} = \frac{x}{9}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20%20%5Cfrac%7B6%7D%7B1%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B9%7D%20)
![=\tt 6 \times 9 = x \times 1](https://tex.z-dn.net/?f=%20%3D%5Ctt%206%20%5Ctimes%209%20%20%3D%20x%20%5Ctimes%201)
![\hookrightarrow\color{plum}\tt 54 = x](https://tex.z-dn.net/?f=%5Chookrightarrow%5Ccolor%7Bplum%7D%5Ctt%2054%20%3D%20x)
Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :
![=\tt 6 = \frac{54}{9}](https://tex.z-dn.net/?f=%20%3D%5Ctt%206%20%3D%20%20%5Cfrac%7B54%7D%7B9%7D%20)
![= \tt6 = 6](https://tex.z-dn.net/?f=%20%3D%20%5Ctt6%20%3D%206)
Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.
▪︎Therefore, the value of <u>x = 54</u>