Answer:
x=3h+k/a-3
Step-by-step explanation:
Attached is the solution. I hope this helps you!!
17/51=8/x <-- Cross multiply
17x=408 <-- Divide 17 by both sides
x=24
The shortest side is 24 or B.
Answer:
96 questions
Step-by-step explanation:
Given that:
Total number of questions = 120
Percentage questions completed = 80%
Number of questions completed =?
Number of questions completed = total number of questions * percentage questions completed
Number of questions completed = 120 * 0.8
Number of questions completed = 96
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
The difference between 10, 17 and 24 is 7, so we can write 7n
To get from 7 to 10 you add 3.
This can be written as 7n+3
Substitute 46 into n
7(46)+3
=325
I hope this helps.
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