Answer:
x = 49
Step-by-step explanation:
The central angle AOB is equal to the measure of the arc that subtends it, so
∠ AOB = 82°
OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then
x =
=
= 49
Answer: x = 11
1. distribute
2. combine like terms
3. add 1x to each side
4. add 42 to each side
5. divide 4 from each side
x=11
So we can use the Pythagorean's Theorem to figure this out.
The Pythagorean's Theorem is: a^2 + b^2 = c^2
Basically, leg1 squared plus leg2 squared = hypotenuse squared
So the two legs are 12 and 16, so we can put them in the equation.
12^2 + 16 ^ 2 = hypotenuse ^2
Or,
144 + 256 = hypotenuse ^ 2
400 = hypotenuse ^ 2
Then we can do the square root of 400 to find the hypotenuse.
√400 = 20
The length of the hypotenuse is 20 centimeters.
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

Rearrange into slope-intercept form:

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of
. Plug this into
:

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

Plug in the given point (1,3) and solve for <em>b</em>:

Therefore, the y-intercept is
. Plug this back into
:

I hope this helps!