Answer:
See explanation
Step-by-step explanation:
Q11. Statement Reason
1.
bisects
Given
2.
Definition of angle bisector
3.
Reflexive property
4.
bisects
Given
5.
Definition of angle bisector
6.
ASA postulate
Q13.
1. Consider triangles ACB and DCE. In these triangles,
- given;
- given;
- as vertical angles (by vertical angles theorem)
Hence, triangles ACB and DCE are congruent by SAS postulate.
2. congruent triangles have congruent corresponding sides, so

Answer: x = 1
Step-by-step explanation:
The numbers in the middle below each row tell the difference between the two numbers above it.
So 12 - x = ?
? = 9 + 2
∴ 12 - x = 9 + 2
x = 1
The image attached should help to make it much clearer. Comment with any questions or concerns.
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be

So, we have the following proportion:

that you can read as: "if an angle of 360 corresponds to a distance travelled of
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have

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