Answer:
On his 6th birthday, he was 45 inches tall
Step-by-step explanation:
Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
Answer:
50 cents
Step-by-step explanation:
Let's set up a system of equations. Let x be a cookie and y be a brownie then...
x+2y=2x+y
x+y=1
We can solve this using substitution
x=1-y
1-y+2y=2(1-y)+y
1+y=2-2y+y
1+y=2-y
-1=-2y
y=1/2
One brownie costs 50 cents and one cookie costs...
x+1/2=1
x=1/2
One cookie costs 50 cents
We can actually undsitribute the y
divide both sides by
times the right side by (ab/ab)
y=ab
Answer: 28.26 ft
Step-by-step explanation:
The formula to calculate the length of arc 
is:
Where:
is the radius of the circle
is the angle in radians
This is the length of the arc
