Hello,
No, this is NOT a proportional relationship.
Have a great day/night and stay safe! :)
Answer:
28
Step-by-step explanation:
First multiply 8 by 4 to get 32. Now there is a small triangle in the bottom. Multiply 4 by 2 to get 8. Then divide 8 by 2 to get 4, the area of the triangle. Now lastly 32-4 to get 28 square units, the area.
X = number of times they rent a boat.
Members
Cost = 105 + 9.50x
Non-members because members don't have to pay the 105 so we gotta leave it out.
Cost = 14.75x
Now to determine whether the cost would be equal, we need to set the two equations equal to each other.
105 + 9.50x = 14.75x
Now solve for x
105 = 5.25x
20 = x
<span>That's your answer.</span><span> They would have to rent 20 times to equal each other. </span>
Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.