Acticity 2.5.2 the vertical angles theorem
1 answer:
You might be interested in
Answer:
x = 9
Step-by-step explanation:
This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). A 30-60-90 triangle is special because of the relationship of its sides. The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.
Since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:
2x = 18 or x = 9
The four?
Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.
The average will be between the numbers:
That's a lot of work to get a number in between. We can just see
is between the two numbers.
The mediant, or freshman addition, will always be in between:
2/5=.4 and 5/6 is about .83, so
is in between as is .7, .41, .530940394 and as many rationals as we care to generate.
To get irrationals we could just add a teeny irrational to the ones we just generated, like
We could just change that denominator a bit and get as many as we like.
But let's get some square roots. The geometric mean will be between
That's the tangent from one of trig's biggest cliches, but I digress. It's in between.
While we're on trig cliches,
is in between as well.
Keeping with the trig theme, also in between are
and
the angles associated with the some of the above trig function values.
We could obviously go on as long as we cared to.
Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.
The average will be between the numbers:
That's a lot of work to get a number in between. We can just see
is between the two numbers.
The mediant, or freshman addition, will always be in between:
2/5=.4 and 5/6 is about .83, so
is in between as is .7, .41, .530940394 and as many rationals as we care to generate.
To get irrationals we could just add a teeny irrational to the ones we just generated, like
We could just change that denominator a bit and get as many as we like.
But let's get some square roots. The geometric mean will be between
That's the tangent from one of trig's biggest cliches, but I digress. It's in between.
While we're on trig cliches,
is in between as well.
Keeping with the trig theme, also in between are
and
the angles associated with the some of the above trig function values.
We could obviously go on as long as we cared to.