Answer:
Step-by-step explanation:
If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.
We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.
The sum of angles DBE and CBE = m<DBC = 90°
We can add the two angles and set it equal to 90 to find x
Answer:
24 purple jelly beans
Step-by-step explanation:
We are told in the question that;
Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans.
The results in a ratio
2:3
Where 2 represented red jelly beans
3 represented purple jelly beans
Total number of jelly beans = 40 jelly beans.
The number of purple jelly beans that we have =
3/( 2 + 3) × 40
= 3/5 × 40
= 3 × 8
= 24.
Hence, there are 24 purple jelly beans in the bag.
Answer:
18, 19, 20, 21
Step-by-step explanation:
Just like any of these problems, we should start by forming an equation for us to get a reference and plug in. We'll be using x as our variables.
As we have four consecutive integers (and not multiples) we can assume that the integers will be x, x+1, x+2, and x+3.
The sum of the two largest integers we have equals: n+2 + n+3 = 2n+5
and three times the sum of the two smallest = 3(n + n+1) = 6n+3
and the sum of t he two largest subtracted from three times the sum of the two smallest = (6n+3) - (2n+5) = 4n-2
4n-2=70
4n=68
n = 18.
n = 18, n+1 = 19, n+2 = 20, n+3 = 21
They are: translation, dilation.
Answer:
Terminal points
Step-by-step explanation:
According to the question, it is provided that
Now
Now
These two represents the terminal points
We simply applied the above equations and then equate these two equations to determine the terminal points and therefore the same is to be considered
It could be figure out by using the x and y points
Therefore the two shows the terminal points
