Answer:
In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.
Answer:
Answers below
Step-by-step explanation:
1. Order pair method
[(x2-x1) , (y2-y1)] = b-a = [(7--9) , (3-9)] = (16,-6)
2. Magnitude
|v| = 
v = |17.088|
Answer:
This problem is incomplete, we do not know the fraction of the students that have a dog and also have a cat. Suppose we write the problem as:
"In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. X of the students who have a dog as a pet also have cat as a pet. If there are 45 students in her class, how many have both a dog and a cat as pets?"
Where X must be a positive number smaller than one, now we can solve it:
we know that in the class we have 45 students, and 4/5 of those students have dogs, so the number of students that have a dog as a pet is:
N = 45*(4/5) = 36
And we know that X of those 36 students also have a cat, so the number of students that have a dog and a cat is:
M = 36*X
now, we do not have, suppose that the value of X is 1/2 ("1/2 of the students who have a dog also have a cat")
M = 36*(1/2) = 18
So you can replace the value of X in the equation and find the number of students that have a dog and a cat as pets.
Multiply by 0.4 on both sides to cancel the original 0.4 and change the 10
The question demands that we find a fraction of a given quantity.
The 'of ' means multiplication.
So the total distance of the journey was
But they walked ¼ of the whole journey. We are supposed to find
Hence they walked 3.25 miles.
