Find the value of the variable and ST if S is between R and T.
RS=7a, ST=12a, RS=28
No clue what so ever how to do this.
To find the value of the variable and ST if S is between R and T, we need to use the given information.
Given:
RS = 7a
ST = 12a
RS = 28
We have the equation RS = 28, which means that 7a = 28. To find the value of a, we divide both sides of the equation by 7:
7a / 7 = 28 / 7
a = 4
Now that we have the value of a, we can find the value of ST using the equation ST = 12a:
ST = 12(4)
ST = 48
Therefore, the value of the variable a is 4, and the length of ST is 48.
To find the value of the variable and ST, you need to use the given information and apply the concept of a number line.
Here's how you can approach this problem step by step:
Step 1: Analyze the given information.
- RS is 7a.
- ST is 12a.
- RS is equal to 28.
Step 2: Use the given information to set up an equation.
Since S is between R and T, the lengths of RS and ST should add up to the length of RT. In other words, RS + ST = RT.
Therefore, 7a + 12a = RT.
Step 3: Simplify the equation and solve for the variable.
Combine like terms: 7a + 12a = 19a.
So, 19a = RT.
Step 4: Use the value of RS to find the value of the variable.
Given that RS is equal to 28, plug in the value of RS into the equation: 19a = 28.
Now, isolate the variable "a" by dividing both sides of the equation by 19: a = 28/19.
Hence, you have found the value of the variable. To find the value of ST, substitute the value of "a" into the equation: ST = 12a.
ST = 12 * (28/19).
Now, you can use a calculator to calculate the value of ST, which equals approximately 17.05.
So, the value of the variable "a" is 28/19, and the length of ST is approximately 17.05.
Thanks so much!
If RS = 28 AND RS = 7a, then 28 = 7a and a = 4
ST then = 12a = 48
Presumably RT is a line with point S 7/19 of the way from R to T
Although they don't ask you for RT, it is 28 + 48 = 76