Answer:
$0.42
Step-by-step explanation:
create a proportion:
13/.78 = 7/x
cross-multiply to get:
13x = 7(.78)
13x = 5.46
x = 5.46/13
x = .42
Answer:
10x-15+7x-21
Step-by-step explanation:
Take parenthesis out
5x-5+5x+10=7x-21
10x-15+7x-21
<span>The next number in this sequence would be 300 because you are multiplying by 10 each time.</span>
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
Answer:
x=14
Step-by-step explanation:
Since the triangles are similar, you first line up the sides. Then, because the 16 and the 24 line up together, you divide them to find out how much bigger the first triangle is, which is 3/2 or 1.5. After that, you can see that the 21 and the x are on the same side, so you would divide 21 by 1.5 or 3/2 to get x. 21÷1.5=14.
x=14
