Answer:
Arc AB= 180 degrees
Arc BC= 15 degrees
Arc CA= 165 degrees
Step-by-step explanation:
In order to find the measure of each arc, start by recognizing that a circle equals 360 degrees, and the measure angle of the diameter of this circle is equal to half of 360 degrees, which is 180 degrees.
Since segment AB is the diameter of the circle, it will equal 180 degrees. Thus, causing arc AB equal to 180 degrees.
Next, arc BC equals 15 degrees because the measure of angle BOC is equal to the measure of arc BC.
Then, to find the measure of arc CA, use the diameter of the circle, which is segment AB. Segment AB is equal to 180 degrees, which makes arc AB equal to 180 degrees. Also known is the measure of arc BC, which is 15 degrees. To find the measure of arc CA, subtract the measure of arc BC from the measure of arc AB, and the answer will be 165 degrees.
This looks like 180 degrees - 15 degrees = 165 degrees.
To check if the arc measures are correct, add all the arc measures together. If they sum up to 360 degrees, then the measure of each arc is correct.
Often, variability is most usefully expressed in the same units as the original data. That's what <em>standard deviation</em> (square root of variance) does. In situations where that is the case, the variance is useful only for getting to the value of standard deviation.
Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
10c-15+3-8c-6+5c
7c-18 i think so
Answer:
<em>0 < X < 40</em>
Explanation:
[ Leg A ] 13
[ Leg B ] 27
[ Leg C ] x
Since We Are Missing The Third Side Of The Triangle.
x Has To Be Greater Than 0 But Less Than 40