All categories

2 years ago

R,S, and T are collinear, and S is betrween R and T. If RS=x+1, ST=2x-2, and RT=5x-5, find RT.

2 answers:

5 0

If you put and label the three points in a line, you will see that RS + ST = RT.

Then you only need to substitue with the expressions given for RS and ST to find RT.

RT = x +1 + 2x - 2 = 3x - 1

Also, RT = 5x - 5

Then, 3x - 1 = 5x - 5

5x - 3x = 5 - 1

2x = 4

x = 4/2 = 2

NOw substitute x in any of the expressions for RT:

RT = 5x - 5 = 5(2) - 5 = 10 - 5 = 5

Answer: RT = 5

Snezhnost [94]2 years ago

4 0

Answer:

correct answer is RT=5x-5

Step-by-step explanation:

You might be interested in

4x + 3y =4 2x - y =7 in substitution

IRINA_888 [86]

The answer is (4x+3y=4 2x-7=7: 5/2 and y=-2) hope it helps and have a good day!

4 0

2 years ago

3. (02.01)

sashaice [31]

Answer:

A. 1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=2x-2+6

x+3=4

x=1

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%28x%20-%207%29%28x%20-%205%29" id="TexFormula1" title="(x - 7)(x - 5)" alt="(x - 7)(x - 5)" a

Rufina [12.5K]

$\huge\textsf{Hey there!}$

$\large\textsf{(x - 7) (x - 5)}$

$\large\text{DISTRIBUTE each of the numbers}$

$\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}$

$\large\textsf{x(x) = \bf x}\bf ^2$

$\large\textsf{x(-5) = \bf -5x}$

$\large\textsf{-7(x) = \bf -7x}$

$\large\textsf{(-7)(-5) = \bf 35}$

$\mathsf{x^2 - 5x -7x + 35}$

$\large\text{COMBINE the LIKE TERMS}$

$\mathsf{x^2 -(5x - 7x) + 35}$

$\mathsf{-5x -7x = \bf -12x}$

$\mathsf{x^2 - 12x + 35}$

$\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitirite1040:)}$

3 0

2 years ago

Read 2 more answers

The table lists the results from a survey (of questionable accuracy) of adults and how much they spend on a night out.

daser333 [38]

You are going to make a graph. The x-axis will represent age while the y-axis represents the amount of money spent on a night out. Graph the ordered pairs, making a scatter plot. Once you have all of the points on the graph, answer the question by saying something like "the older someone is, the less money they spend on a night out" but make sure it's accurate. (:

3 0

3 years ago

Read 2 more answers

0.4 greater or less than 0.41

marshall27 [118]

0.4 is exactly 0.01 less than 0.41 .

4 0

2 years ago

Read 2 more answers