Jimmy goes for a run with his friends on the weekend. They run 11km in 5 hours. How long
1 answer:
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Answer:
Whenever .
Step-by-step explanation:
We can play around with some numbers and develop some rules for this equation.
Note that the number 5 and -5 are used here, so let's try using 5 as a.
So 5 works. Let's try a random number like 3.
Okay, with this info we know that we might be able to develop one rule that . Just to test, let's try 0, -3, and -5.
Zero works.
-3 works.
-5 works. Now, this might stop here making the equation , so let's test a number outside of -5 - say -20.
Yes! This works, so a works for this equation as long as .
Hope this helped!
Answer:
x = 10.5
Step-by-step explanation:
Firstly, in geometry, you may have to <u>prove that the two triangles pictured are similar</u>.
Since the two horizontal lines are marked, they are assumed to be parallel.
Therefore, if the lines are parallel, the two bottom angles of each triangle can be treated as the same due to the [Corresponding Angles Theorem], respectively
As such, the two triangles can be seen as <u>SIMILAR</u> as proven by <u>Angle-Angle Similarity.</u>
Now that we've proven both triangles to be similar, we can then set up ratios for the sides:
=
Note: we are using y as a measure of the <em>entire right side of the triangle</em>, so
<em>y = 6 + x</em>
Continuing on, if you cross-multiply the fractions to solve for y:
8y = 6 * 22
Simplify.
8y = 132
Simplify again.
y = 16.5
<u>We are not done yet!</u> We are solving for x, so remember <em>y = 6 + x</em>
16.5 = 6 + x
Solve for x.
x = 10.5
