Answer:
x=5
Step-by-step explanation:
hey there
the angles given are corresponding angles meaning that they are congruent
so we set up an equation
23x-5=21x+5
step 1 subtract each side by 5
5-5 cancels out
-5-5=-10
now we have
23x-10=21x
step 2 subtract each side by 23x
21x-23x=-2x
now we have
-2x=-10
step 3 divide each side by 2
-10/-2=5
so we can conclude that
x=5
Use Desmos, it’s a graphing app
Answer:
We have the following function:
f (x) = 5 • 2 ^ x
We can make a table to represent the function.
For this, we will evaluate the function for some values of x.
We have then:
f (0) = 5 • 2 ^ 0 = 5 * 1 = 5
f (1) = 5 • 2 ^ 1 = 5 * 2 = 10
f (2) = 5 • 2 ^ 2 = 5 * 4 = 20
f (3) = 5 • 2 ^ 3 = 5 * 8 = 40
f (4) = 5 • 2 ^ 4 = 5 * 16 = 80
f (5) = 5 • 2 ^ 5 = 5 * 32 = 160
Answer:
The table that represents the function is:
0 5
1 10
2 20
3 40
4 80
5 160
Using it's concept, it is found that there is a 0.713 = 71.3% probability that Rachel takes no more than three sweets from the bag.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, we have that:
- One sweet, the probability is 3/10.
- For two, the probability is 7/10 then 3/9.
- For three, it is 7/10 then 6/9 then 3/8.
So:

0.713 = 71.3% probability that Rachel takes no more than three sweets from the bag.
More can be learned about the probabilities at brainly.com/question/24826394