Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.
The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.
Point D is the midpoint of BC,
Use Pythagorean theorem in triangle COD. So, option 1 is correct.
The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.
The line OC bisects the angle C.
Therefore option 2 is correct.
The perimeter of an equality triangle is
Option 3 is incorrect.
Option 5 is incorrect.
Therefore options 1, 2 and 4 are correct.
If you need part A, draw a person and label them 6 feet tall and a shadow coming off of him that is five feet long and draw a basketball hoop that and label it X feet tall and draw a shadow coming from it that is 8 feet long. To solve, you use proportions 6/5=X/8 solving this you get X=9.6 feet which is the height of the rim. Therefore, the rim does not meet regulation height, since the required height (10 feet) is greater than the actual height (9.6 feet).
In (A), we have 9 : 2.
Multiply by 2, we get 18 : 4
In (B), we have 36 : 8.
Divide by 2, we get, 18 : 4.
In (D), we have 54 : 12.
Divide by 3, we get, 18 : 4.
Hence, (C) is not equivalent to the given statement.
An exponential function can be expressed as:
y=ab^x we have two points so we can solve
64/8=(ab^4)/(ab^1)
8=b^3
2=b, now we have:
y=a(2^x), using point (4,64)
64=a(2^4)
64=16a
4=a so
y=4(2^x)
A slope of any line parallel to y = x + 2 will be 1.
The slope of parallel lines are always equal. Since we do not see a number next to the x in the original equation, there is an assumed 1 there. Therefore any line that is parallel with it would also have to be 1.
