Answer:
Step-by-step explanation:
1. Corresponding Angles
<1 and <5
<2 and <6
<3 and <7
<4 and <8
They are equal in measure because corresponding angles are always equal to each other which means that they are congruent.
2. Alternate Interior Angles
<3 and <6
<4 and <5
They are always equal to each other because alternate interior angles are always congruent.
3. They are alternate exterior angles which means that the angles are always congruent.
4. <8 will be 73 degrees which is the same as <4 because they are corresponding angles and they are always congruent.
5. Angle 6 will be 107 degrees because they are alternate interior angles and they are always congruent.
Answer:
46
Step-by-step explanation:
Two tangents to a circle from the same external point are congruent.
There are 4 pairs of congruent tangents in the figure.
Starting at the lower left and going clockwise gives
perimeter = 6 + 6 + 8 + 8 + 4 + 4 + 5 + 5 = 46 units
Answer:
16
Step-by-step explanation:
Answer:
Area = 166cm² (Approximately)
Step-by-step explanation:
To solve this, let's recall the formula for the area of a REGULAR Hexagon.
The area of a REGULAR Hexagon is expressed as:
A = (3√3 * a²) / 2
Where a is the length of one side of the Hexagon.
a= 8cm.
Area = (3√3 * 8²) / 2
Area = (3√3 * 64) / 2
Area = (192√3) / 2
Area = 332.55 / 2
Area = 166.28cm²
Area = 166cm² (Approximately)
Answer:
About 4.1323 meters.
Step-by-step explanation:
We can use the following kinematic equations:
We want to determine the distance the object has dropped after falling from rest and reaching an instantenous speed of 9 m/s.
We are given that the acceleration due to gravity is 9.8 m/s².
Using this fact and the first equation, find the time for which it took the object to reach 9 m/s. Note that the initial velocity is 0 m/s since the object started from rest.
To find how far the object dropped, we can use the second equation:
In conclusion, the object would have dropped about 4.1323 meters.
