Option B: 1
Option C: 6
Solution:
Let us first define the vertical angle theorem:
Vertical angle theorem:
<em>If two lines are intersecting each other, then the vertically opposite angles are congruent.</em>
To find angle 7 is equal to which angle:
Angle 1 and angle 7 are vertically opposite angles.
Therefore by vertical angle theorem, angle 7 = angle 1
Option B is the correct answer.
To find angle 4 is equal to which angle:
Angle 4 and angle 6 are vertically opposite angles.
Therefore by vertical angle theorem, angle 4 = angle 6
Option C is the correct answer.
Answer:
97,99,101,103
Step-by-step explanation:
Let x = first odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+6 = 4th odd integer
Sum of 4 odd integers is 400
x+ (x+2) + (x+4)+(x+6) = 400
Combine like terms
4x +12 = 400
Subtract 12 from each side
4x+12-12 = 400-12
4x = 388
Divide by 4 on each side
4x/4 = 388/4
x=97
The first integer is 97
The 2nd is 97+2 =99
The third ix 97+4 = 101
The 4th is 97+6 = 103
Well if they look the same if u were to flip or turn it in wat ever position that they are in then if it still looks the same that's how u know that it's congruent
Pick’s Theorem is used to find the areas of figures on lattices easily. The formula is:
A = (B)/2 + I - 1, where B is the number of points on the border of the shape, and I is the number of points inside the shape.
Here, there are 8 points on the outside of the shape, and there are 12 points inside the shape. So, we do:
8/2 + 12 - 1 = 4 + 12 - 1 = 15 units squared.
We can check by finding the areas of the non-shaded region and subtracting that area from the whole rectangle area of 4 * 10 = 40:
4 * 1 + (3 * 1)/2 + 1 * 9 + (3 * 1)/2 + (9 * 2)/2 = 25
40 - 25 = 15, so we’re right!
The answer is 15 units squared, or choice (B).
Answer:
659.6 ft
Step-by-step explanation:
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
