Answer:
$419.4
Step-by-step explanation:
per month: $ 34.95
1 year: 12 months
you should multiply 12 and $34.95 because Barry is going to get the membership for a year and in a year there are 12 moths.
34.95 times 12= 419.4
1. We assume, that the number 40 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 40, so we can write it down as 100%=40.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=40
2) x%=21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=40/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 21 is what percent of 40
100%/x%=40/21
(100/x)*x=(40/21)*x - we multiply both sides of the equation by x
100=1.90476190476*x - we divide both sides of the equation by (1.90476190476) to get x
100/1.90476190476=x
52.5=x
x=52.5
now we have:
21 is 52.5% of 40
Answer: B. Similar - AA
Step-by-step explanation:
The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.
Is there a picture or image that goes with your question? If not then I’m sorry I can’t help.
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
