Add the numbers: 3+17 = 20
-x + 5 < -1/20
Apply the fraction rule: -a/b = - a/b
-x + 5 < - 1/20
Subtract 5 from both sides
-x + 5 - 5 < 1/20 - 5
Simplify
-x< - 101/20
Multiply both sides by -1 (reverse the inequality)
(-x) (-1) > (-101/20) (-1)
x> 101/20 is the final answer
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.
Answer:
20 - 11 = 9
Step-by-step explanation:
20 - 11 = 9 and weird you gave no other info.
