Note that going from R to Q means we go down 3 and to the right 2. The slope here is -3/2. You can use the slope formula to get the same result. The slope formula is:
m = (y2-y1)/(x2-x1)
Using the visual trick or the slope formula, we see that the slope of QS is 2/3. We go up 2 and over to the right 3 to go from S to Q.
-------------------
In summary so far:
- slope of RQ = -3/2
- slope of QS = 2/3
If we multiply the slopes together, we end up with -1
(-3/2)(2/3) = (-3*2)/(2*3) = -6/6 = -1
Any time two slopes multiply to -1, this means the lines are perpendicular. Because we got -1 as a result, we have shown that segment RQ is perpendicular to segment QS. Angle RQS is 90 degrees.
Answer:
<h2><u><em>
x = 10</em></u></h2>
Step-by-step explanation:
The length of the base of an isosceles triangle is x. The length of the leg is 2x-2. The Perimeter of the triangle is 46. Find X.
2x - 2 + 2x - 2 + x = 46
5x - 2 - 2 = 46
5x = 50
x = 50 : 5
x = 10
Answer:
D) 1
Step-by-step explanation:
When you start raising i to certain powers, you begin to notice a pattern.

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c =
, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.
So, from the problem, if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>
<em />
<em />
So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome