Answer:In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor. Fun Facts. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.
Step-by-step explanation:
Based on my created polygon, I formed a trapezoid.
I need to use the Pythagorean theorem to solve for the two sides that are the hypotenuse of the right triangles derived from the image.
1st side: distance from -1 to 5 = 6
2nd side: distance from -5 to 12 = 17
3rd side: hypotenuse:
a = -5 to -1 = 4
b = 0 t0 8 = 8
c² = 4² + 8² = 16 + 64 = 80
c = √80 = 8.94
4th side: hypotenuse:
a = 5 to 12 = 7
b = 0 to 8 = 8
c² = 7² + 8² = 49 + 64 = 113
c = √113 = 10.63
Perimeter = 6 + 17 + 8.94 + 10.63 = 42.57 or 42.6 units.
Answer:
Step-by-step explanation:

Answer:
Step-by-step explanation:
First,You have to realize that if you multiply the amount of food by something, you multiply the amount of calories. if some piece of food is 100 calories what happens if you eat 2? you get 2 times that number of calories. Same fi you eat half of one of that kind of food. You get half the amount of calories.
Here he makes 1 1/2 (one and a half) times the amount. Now, if this is confusing you just need to realize that multiplying by this is the same as multiplying by 1+1/2. Say, again, a piece of food is 100 calories. Multiplying it by this would look like the following.
100(1+1/2)
100*1 + 100*1/2
100+50
150
So if you ever have a mixed number like this you could split it up into an addition problem and then distribute hat you're multiplying. Another solution is to multiply by the improper fraction, which here is 3/2, so 100*3/2=150 as well. Let me know if you don't get how to get the improper fraction or how to multiply fractions.
Now, super simple, just multiply the calories by that number.
310(1+1/2) = 310(3/2)
310 + 155 = 930/2
465 = 465
Kinda showed how to multiply by fractions, still if you don't get it let me know.
Answer:
1.2 cm
Step-by-step explanation:
Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).
The area of circumscribed quadrilateral is

where
is semi-perimeter and r is radius of inscribed circle.
In your case, 
If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so

so

Now
