Answer
Step-by-step explanation:
Answer:
Angles 5 and angle 2 are supplementary angles
Step-by-step explanation:
Angle 2 and angle 6 are corresponding angles and corresponding angles are equal when we have parallel lines
Angles 5 and angle 6 are supplementary angles since they form a line
Replace angle 6 with angle 2 since they are equal
Angles 5 and angle 2 are supplementary angles
If you would like to know how far is Julian from his starting position, you can calculate this using the following steps:
First, you have to make a right triangle, where the hypotenuse of this triangle will actually be the distance we are looking for. The distances of the other two sides are 444 kilometers, and 777 kilometers - 222 kilometers; to be exact: 444 kilometers and 555 kilometers.
The distance we are interested in ... d:
d^2 = 444^2 + 555^2
d^2 = 197136 + 308025 = 505161
d = sqrt(505161)
d = <span>710.7 kilometers
</span>
The correct result would be <span>710.7 kilometers.</span>
QUESTION 1
The point C(3.6, -0.4) divides AB in the ratio 3 : 2.
The coordinates of A are (-6, 5).
Let the coordinates of B be 
We use the formula:
to determine the x-coordinate of B.
We substitute the known values to obtain:





This implies that:

We also use the formula:
to find the y-coordinate.






The coordinates of B are (10,-4)
QUESTION 2.
If point D divides CD in the ratio 4 : 5.
Then the coordinates of D are:


The coordinates of D are 