Circumference: 2πr
Circumference: 2(3.14)(x + 1)
Circumference: 6.28(x + 1)
Circumference: 6.28(x) + 6.28(1)
Circumference: 6.28x + 6.28
Area: πr²
Area: 3.14(x + 1)²
Area: 3.14(x +1)(x + 1)
Area: 3.14(x(x + 1) + 1(x + 1))
Area: 3.14(x(x) + x(1) + 1(x) 1(1))
Area: 3.14(x² + x + x + 1)
Area: 3.14(x² + 2x + 1)
Area: 3.14(x²) + 3.14(2x) + 3.14(1)
Area: 3.14x² + 6.28x + 3.14
Answer:
1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C
Step-by-step explanation:
1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'
2. 2 and 3 are vertically opposite angles, and these angles are equal to each other
3. 3 and 6 are alternate angles. These angles form a 'Z' shape
4. Similar to q2, 1 and 4 are vertically opposite angles
5. Yes they are similar because there are two angles which equal
6. The angles of the big triangle will correlate to the small triangle, therefore x is 40
7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180
8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180
Hope this helped you!!
Answer:
4^9
Step-by-step explanation:
(See the imagine for reference)
Let’s solve where they have a triangle, so the height is 9 cm, the base is 3 cm:
1/2 • 9 • 3 = 13.5
Since there’s 2 triangles we do:
13.5(2) = 27
Now the rectangle in the middle, where the height is 9cm and the base is 12cm:
12 • 9 = 108
Add up the areas:
108 + 27 = 135
It gave you the input because it is telling you what x is