All categories

3 years ago

If S lies between R and T, RT=21, RS=2X+5, and ST=3x-4. Find RS and ST

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

8 0

The answer is c so pick it so I can get answers

zepelin [54]3 years ago

8 0

Answers:

RS = 13

ST = 8

==================================================

Explanation:

S is between R and T. I'm assuming also that S is on line RT.

If that's the case, then by the segment addition postulate, we can say RS+ST = RT.

In other words, the longest segment RT is broken into two smaller pieces RS and ST (not necessarily equal but they may be). Gluing the pieces back together should get us the original longest segment.

---------------

Apply substitution and solve for x.

RS+ST = RT

(2x+5)+(3x-4) = 21

(2x+3x)+(5-4) = 21

5x+1 = 21

5x = 21-1

5x = 20

x = 20/5

x = 4

--------------------

If x = 4, then,

RS = 2x+5 = 2*4+5 = 13
ST = 3x-4 = 3*4-4 = 8

Then notice how RS+ST = 13+8 = 21, which is is the length of RT

This confirms that RS+ST = RT is true and it confirms our answers.

You might be interested in

A figure is shown

Sunny_sXe [5.5K]

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

3 0

3 years ago

Read 2 more answers

There is a 70% chance that your car will get stuck in the snow during the next big snowfall. Given that you are already stuck in

Flura [38]

Given:
Probability that your car will get stuck in the snow: 70%
Probability that you will require a tow truck when stuck in the snow is 90%.

Probability that you're stuck in the snow and need a tow truck.

70% x 90% = 63% 2nd option.

6 0

3 years ago

What is the side length of the largest square that can fit into a circle with a radius of 5 units?

Mariana [72]

So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.

And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°

Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°

Now solve it by applying

$\sin(45) \: \: \: \: = x \div 10 \\ (1 \div \sqrt{2} ) = (x \div 10) \\ 10 \div \sqrt{2} \: = x$

5 0

3 years ago

Find volume of triangular pyramid or prism.

almond37 [142]

I hope this helps you

5 0

4 years ago

Read 2 more answers

What is the solution to this equation 2/3x+1=1/6×-7

Alika [10]

Answer:

A . x= -16

Step-by-step explanation:

$\\\frac{2}{3}x+1=\frac{1}{6}x-7\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x+1-1=\frac{1}{6}x-7-1\\\\\frac{2}{3}x=\frac{1}{6}x-8\\\\\mathrm{Subtract\:}\frac{1}{6}x\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x-\frac{1}{6}x=\frac{1}{6}x-8-\frac{1}{6}x\\\\= \frac{1}{2}x=-8\\\\\mathrm{Multiply\:both\:sides\:by\:2}\\\\2\times \frac{1}{2}x=2\left(-8\right)\\\\x=-16$

7 0

3 years ago