Hello.
The answer is: 2 3/4
Step 1: Simplify both sides of the equation.
22/5x 121/10
Step 2: Multiply both sides by 5/22.
(5/22)* (22/5 x)= (5/22)* (121/10)
Have a nice day
Answer:
<u>Part 1:</u>
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u> $270
<u>Part 3:</u> $320
<u>Part 4:</u> 11 months
<u>Part 5:</u> See explanation below
Step-by-step explanation:
<u>Part 1:</u>
Let "x" be the number of months:
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u>
We put x = 6 in platinum gym's equation and get our answer.
90 + 30x
90 + 30(6)
90 + 180
=$270
<u>Part 3:</u>
We put x = 6 into super fit's equation and get our answer.
200 + 20x
200 + 20(6)
200 + 120
=$320
<u>Part 4:</u>
To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:
90 + 30x = 200 + 20x
10x = 110
x = 11
So 11 months
<u>Part 5:</u>
We know for 11 months, they will cost same. Let's check for 10 months and 12 months.
In 10 months:
Platinum = 90 + 30(10) = 390
Super Fit = 200 + 20(10) = 400
In 12 months:
Platinum = 90 + 30(12) = 450
Super Fit = 200 + 20(12) = 440
Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: <u>Similar</u> <u>Triangles</u> are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or <u>SSS</u> <u>similarity</u> and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
![\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4](https://tex.z-dn.net/?f=%5Cfrac%7Bbig%7D%7Bsmall%7D%3D%5Cfrac%7B212%7D%7B53%7D%3D%5Cfrac%7B60%7D%7B15%7D%3D4)
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
![\frac{L}{33} =4](https://tex.z-dn.net/?f=%5Cfrac%7BL%7D%7B33%7D%20%3D4)
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
Answer:
the first month new members have to pay 188 dollars for the membership.
the equation is 160x+28=y
x stands for the number of months and y stands for the total cost.
for the first month [ membership starts] the total cost is 188$ . for the secind month the total money paid would be 348$. for the third month the total money would be 508$ .
and so on u can use the equation to solve for more months . just substitute x for the numbers of month u are solving for
Step-by-step explanation:
hope it help u dear
hve a great day ahead
itz by Riddhi
Answer:
x = -5/4 = -1.250
Step-by-step explanation: