Answer:
10
Step-by-step explanation:
Answer:
$17
Step-by-step explanation:
Think about it like this.
$4.25 is equal to 0.25 * x value, where x is the weekly allowance
$4.25=0.25x
$17=x
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that

Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5
<u>Answer:</u>
The angles measures x and 4x are complementary angles. The value of x is 36 degrees
<u>Solution:</u>
Given, two angles are x and 4x
We have to find the value of above given x
We are also given that, given two angles are complementary angles for each other
So, we know that, <em>sum of any two complementary angles will always be equal to 180 degrees </em>
Then, in the problem given,

Hence the angles measures x and 4x are complementary angles. The value of x is 36 degrees
Answer: 22.4
Explanation:
The pieces of the chords multiply together to get the same result. This is from the intersecting chord theorem.
The first chord has pieces of 10 and x, which multiply to 10*x
This is equal to the other product found by multiplying the pieces 14 and 16 (from the other chord)
10*x = 14*16
10x = 224
x = 224/10 ... divide both sides by 10
x = 22.4