Answer: ∡RSQ and ∡TSQ
Supplementary angles are angles that add up to 180 degrees. We can see in the picture that both angles are located on the same line, and no other angles are involved, so they must equal 180.
We can also use the process of elimination:
- ∡RSQ and ∡UVS are congruent because they are consecutive angles.
- ∡RSQ and ∡WVX are also congruent because they are alternate exterior angles.
- ∡RSQ and ∡TSV are also congruent because they are vertical angles.
Answer: Equal
Step-by-step explanation: Brainiest answer pls
Answer:
Difference in cash and plan = $155 - $149.50 = $5.50
Interest Rate = 3.68%
Step-by-step explanation:
Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
A food processor by cash = $149.50
Payment plan = Down payment + $10*15 months
= $5 + $10*15
= $5 + $150
Payment plan = $155
Difference in cash and plan = $155 - $149.50 = $5.50
Now we have to find the interest rate
= (difference/original)*100
= (5.50/149.50)*100
Interest Rate = 3.68%
Answer:
4n²+2n as a factorial is given as:
Step-by-step explanation:
We are given an expression which has to be converted into factorial form.
The expression is as follows:
Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.
Hence, multiplying and dividing by '(2n-1)!'; we get:
we know that x(x-1)(x-2)! = x!, so:
Let d = number of stamps from John (4 letters, d is 4th letter, etc)
<span>Let e = number of stamps from Johan </span>
<span>Let h = number of stamps from Jonathan </span>
<span>Johan and Jonathan have the same number of stamps, so: </span>
<span>e = h </span>
<span>2 times Johan's collection is 11 less than 5 times John's collection, so: </span>
<span>2e = 5d - 11 </span>
<span>3 times Jonathan's collection is 3 less than 7 times John's collection,so: </span>
<span>3h = 7d - 3 </span>
<span>Now we have three equations and three unknowns. You're asked for the number of stamps in John's collection, so you want the value to variable "d". </span>
<span>Since e = h, we can substitute "h" for "e" in the second equation. </span>
<span>2h = 5d - 11 </span>
<span>3h = 7d - 3 </span>
<span>now we have two equations and two unknowns. I'll use elimination, starting with multiplying the first equation by -3 and the second one by 2. </span>
<span>-6h = -15d + 33 </span>
<span>6h = 14d - 6 </span>
<span>now add both together and you have an equation with one unknown remaining: </span>
<span>0 = -d + 27 </span>
<span>d = 27 </span>
<span>So your answer is 27 stamps. If you want to know how many stamps the others have, you can work back and solve for e and h.</span>
