The angle subtended by a diameter is a right angle. That's Thales' Theorem (one of them anyway), sometimes thought to be the first theorem of geometry.
So the first choice is true.
The other angles are complementary, not necessarily congruent.
The sides and arcs aren't necessarily congruent either
Answer: first choice
That figure is made up of 3 shapes.
A square, a rectangle, a semicircle.
The square has a side of 6 ft.
The semicircle has a radius of 4 ft.
The rectangle's width is the diameter of the semicircle, so it is 8 ft. The length of the rectangle is 18 ft.
Square:
A = s^2 = (6 ft)^2 = 36 ft^2
Rectangle:
A = LW = 18 ft * 8 ft = 144 ft^2
Semicircle:
A = (1/2) * pi * r^2 = (1/2) * pi * (4 ft)^2 = (1/2) * pi * 16 ft^2 = 8pi ft^2
Total area:
A = 36 ft^2 + 144 ft^2 + 8pi ft^2
A = (180 + 8pi) ft^2
Answer:
48.375
Step-by-step explanation:
Area of square- area of circle
Side^2 - pieR^2
(15)^2 - 3.14*7.5*7.5
225 - 176.625
= 48.375
Hope this helps
Answer:
The temperature increases by a total of 12 degrees.
Step-by-step explanation:
A good way to solve a problem with positive and negative integers is to plot them on a number line and find the difference from one point to the next. On a number line, positive numbers go to the right of zero and negative numbers go to the left of zero. If we start at a temperature of -4 and count to the right on the number line until we get to +8, there will be a difference of 12. The other way to set up the problem is to subtract the numbers, 8-(-4)=12.