1. You can add 7 units to both sides of the scale so it becomes a balance between x on the left and 21 on the right.
x ___ 21
1A) The only number from the set that will keep the balance is x ∈ {21}
1B) The number on the right (21) will be more than x for x ∈ {0, 1, 7, 14}
1C) The number on the right (21) will be less than x for x ∈ {28, 30}
2A) (x +x +x) +(2 +4) = 102
3x +6 = 102 . . . . . . . . simplified equation
2B) Solving the equation, you have
3x = 102 -6
x = 96/3 = 32
The number that could be a value of x is 32.
Hey there! :D
The biggest thing to remember here is the similar triangles and their side lengths.
Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to.
We want to find two triangles that have "x" has a value of their side, so we can solve a proportion.
The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.
On the smaller triangle:
We have 9 cm on the shorter side and x as the hypotenuse.
On the larger triangle:
We have x as the shorter side, and then 25 as the hypotenuse. (9+16)
Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it.
So, now we can make a proportion.

Now, cross multiply.
9*25= 225
x*x=

So, find the square root.
√225= 15
x= 15. I hope this helps!
~kaikers
Answer:
1.82352941176
Step-by-step explanation:
;)
Step-by-step explanation:

Solve b part yourself in the same way.