Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.
Answer:
3
Step-by-step explanation:

And,
$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $
$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $
$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$
Hence the difference is 3.
A parallel line has the same gradient
First you will need to rearrange the equation 10x+2y=-2
Then once you do that please comment
If you don’t know how please comment
Answer: 1050
Step-by-step explanation:
Number of combinations of selecting r things out of n = 
such that 
Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.
If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = 
hence, total number of outcomes = 1050