By comparing the right triangle ABC with the triangle XYZ, we will see that:
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How to find the given segments?</h3>
So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.
Also, remember that for right triangle we have the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Now, the problem tells us that:
tan(x) = 5/2.5
For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.
Then we have:
YZ = 5
XY = 2.5
Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:
AC = 2*XY = 2*2.5 = 5
CB = 2*YZ = 2*5 = 10
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
22
Step-by-step explanation:
I used the distance formula
Step-by-step explanation:
The graph has a slope of 0.5 and a y-intercept of 5
The equation is given as:
A linear equation is represented as:
Where m represents the slope, and c represents the y-intercept
So, by comparison:
m = 0.5
c = 5
This means that:
The slope is 0.5, and the y-intercept is 5
Hence, the graph of has a slope of 0.5, and a y-intercept of 5
See attachment for the graph of
Answer:
Part 1) The rate is 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
A cyclist rides her bike at a rate of 12 meters per second
Remember that
1 hour=3,600 seconds
1 kilometer=1,000 meters
therefore

Part 2) How many kilometers will the cyclist travel in 3 hours?
using proportion

Answer:
No
Step-by-step explanation:
In order for it to be a function, every input (x values on the left) needs to be paired with only 1 output (y values on the right). Notice that 1 is paired with both 2 and 4. This means it is not a function, but it is paired with two different values.