Answer:
Angles 1 and 3 are congruent as vertical angles; angles 3 and 7 are congruent as corresponding angles.
Step-by-step explanation:
<1 and <3 are vertical angles because they are formed by the same lines and are opposite each other . 3 and 7 are corresponding angles because they are in the same position at each intersection where a straight line crosses two others. Since the lines are parallel, they are equal That makes 1 and 7 equal
<h3><u>Out of the four options, the letter B is a function.</u></h3>
A function cannot have an x value with two different listed y terms.
B is the only option that does not repeat x terms.
Answer:
There are 27 different possible outcomes.
Step-by-step explanation:
Assuming that you have 3 different stocks:
First, we need to find the number of events and the number of possible outcomes for each event.
Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:
Stock 1: 3 options (up, down, stay)
Stock 2: 3 options (up, down, stay)
Stock 3: 3 options (up, down, stay)
The total number of possible outcomes is equal to the product of the numbers of options for all the events.
Then the total number of possibilities is:
C = 3*3*3 = 27
General Idea:
The Rules for Transformations of Functions are given below:
If f(x) is the original function, a > 0 and c > 0; Then
Applying the concept:
In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:
C.it stretches the graph vertically by a factor of 5
1. 4^2 +x^2 = 6^2
16 + x^2 = 36
x^2 = 20, x = sqrt(20) = 4.47 miles
2. using the same equation as above: 20 inches
3. needs to be a right triangle so A
4. using distance formula answer is 7.07 units
5.volume cylinder: 62.82, volume sphere: 33.51, difference:=62.82 -33.51 = 29.31 cubic inches
