Answer:
There is a scale factor of 1
Step-by-step explanation:
the ratio 1:1 means that there is no difference between the two triangles, and that they are congruent.
<h3>
Answer: A and B (first answer choice)</h3>
Explanation:
Both figures shown in A and B are triangular pyramids. The base is a triangle, and the lateral sides are also triangles. Another example would be rectangular pyramids where the base is a rectangle, and the lateral sides are triangles.
Choice C is ruled out because cones aren't considered pyramids.
Choice D is a combination of a rectangular prism, and a rectangular pyramid stacked on top, so it's not purely a pyramid only. We can rule out choice D.
The rate of travel here is in mph - "miles per hour".
That just means how many miles you can travel in one hour. In this problem, you're given 15 hours, and the distance they travel within those 15 hours.
Therefore, you should divide both the number of miles and the number of hours by 15 to find out how far they can travel in 1 hour.
735 ÷ 15 = 49 miles
15 ÷ 15 = 1 hour
Their average rate of travel was 49 miles in 1 hour, which is 49 mph.
Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when 
when 
and
is always 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
