The answer is B. centroid, which is the intersection of three medians of the triangle's sides.
Let's look into other answers as well:
A. Circumcenter
It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.
The first photo is what a circumcenter looks like:
C. Incenter
It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.
The second photo is what a incenter looks like:
D. Orthocenter
It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.
The second photo is what a Orthocenter looks like:
Therefore the answer is B. Centroid.
Hope it helps!
Answer:
24 units ²
Step-by-step explanation:
In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.
First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.
Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get
3.14 * 2 * r = 17.21
6.28 * r = 17.21
divide both sides by 6.28 to isolate r
r ≈ 2.74
Furthermore, to find the area from the radius, we can use
area = πr². Plugging 2.74 in for r, we get
2.74² * 3.14 = area
≈23.6, rounding up to 24 units ²
Explanation:
Distributive property: → 
Expand equation.
Then, multiply 6*4.
Add by similar elements.
Don't forget to used variable with letter/symbol.
Hope this helps!
Thank you!
Have a great day!
-Charlie
Answer: 19 and 31
Step-by-step explanation: Make the first number x, the second number y.
The sum of x and y is 50: x+y=50
x is 43 less than 2y: x=2y-43
replace x in equation x+y=50 with x=2y-43: 2y-43+y=50
combine like terms: 3y-43=50
add 43 to both sides: 3y=93
divide both sides by 3: y=31
replace y in equation x+y=50 with y=31: x+31=50
subtract 43 31 from both sides: x=19
the solution to the question is the first number is 19, the second number is 31
10 lbs of apples will cost $55
How? Well...
First, you would need to find the unit rate, which is 5.5
You find the unit rate by simply dividing 33 by 6. Next, after you found your unit rate, you're going to multiply that by 10. We now know that 10 x 5.5= 55. Therefore, you will need $55 for 10 lbs of apples.
