Multply both sides of the equation by 7.
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When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.
In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.
So if 18 + x =43, then what you need to do is
18 + x =43
-18 -18
——————
x = 25
because whatever you do to one side, you need to do to the other
Explanation:
To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:
a² + b² = c² (c is always hypotenuse)
So:
a² + 6² = 9²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = sqrt45
Now we do the same thing for the other triangle:
x² + 5² = sqrt45²
x² + 25 = 45
x² = 20
x = 2√5 or 4.5...
Answer:
In 1 min a gazelle runs 3,900 ft.
As a fraction, 1/65
In order to find the solution to this problem you could use a table.
Since we are using seconds we have to convert the 1 min = 60 seconds.
<u>Sec</u><u> | 12 | 60</u>
<u>Fts</u><u> | 780 | x </u>
12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.
x=3900
Answer: the answer is in the attachment.
