Answer:
x = 3
Step-by-step explanation:
The smaller triangle and larger one are similar, so corresponding sides are proportional.
8/4 = (8 +(x -1))/5
10 = x +7 . . . . . . . . . multiply by 5 and simplify
3 = x . . . . . . . . . subtract 7
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<em>Alternate solution</em>
The short segments are also proportional:
(x -1)/(5 -4) = 8/4
x -1 = 2 . . . . simplify
x = 3 . . . . . . add 1
Let the price of each shrub be x 4x + 17.50 = 53.50 4x = 53.50 - 17.50 x = 36/4 = <span>$9</span>
Answer:
12
Step-by-step explanation:
They are the same angle so they must be equal.
So, x+5 = 2x-7
5+7 = 2x-x
12 = x
First, you know that she earned a total of 73 dollars for 6 hours of work and how 46 dollars was from tips. So what you do first is to subtract 46 from 73 leaving you 27. Since she worked 6 hours, you would have to divide that with 27. 27 divided by 6 is 4.5 The waitress earns $4.50 for her hourly wage.
Answer:
3*3 *7
Step-by-step explanation:
63 = 9*7
7 is prime but 9 is not
Break 9 into its factors
= 3*3 *7
All of these are prime