Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.
If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.
Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).
If RT is 4, then RQ must also be 4.
Answer: x = 4
Hope this helps!
9514 1404 393
Answer:
2 1/12 days
Step-by-step explanation:
Time is the ratio of distance to speed.
(1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days
Answer:
D. 18.68
Step-by-step explanation:

Applying PEMDAS as order of operations.
Solving the exponents first ![[(\frac{2}{5})^2=\frac{4}{25}]](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B2%7D%7B5%7D%29%5E2%3D%5Cfrac%7B4%7D%7B25%7D%5D)

Multiplying ![[53\times \frac{4}{25}=8.48]](https://tex.z-dn.net/?f=%5B53%5Ctimes%20%5Cfrac%7B4%7D%7B25%7D%3D8.48%5D)

Dividing ![[27\div \frac{5}{3}=16.2]](https://tex.z-dn.net/?f=%5B27%5Cdiv%20%5Cfrac%7B5%7D%7B3%7D%3D16.2%5D)

Adding and subtracting.

Not enough information to actually do the problem, please provide more.
The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
<h3>How to determine the coordinates?</h3>
The given parameters are given as:
- Slope, m = 2/3
- y-intercept, c = -5
The equation is represented as:
y = mx + c
So, we have:
y = 2/3x -5
When x = 0, we have;
y = 2/3 * 0 -5 = -5
When x = 3, we have;
y = 2/3 * 3 -5 = -3
When x = 6, we have;
y = 2/3 * 6 -5 = -1
When x = 9, we have;
y = 2/3 * 9 -5 = 1
Hence, the coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)
Read more about linear equations at:
brainly.com/question/14323743
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