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:
A. Scalene since all sides have different lengths
E. Right since it has a right angle
Answer:
8 hours total
Step-by-step explanation:
100=2
400=8
2 times 4 =8
Answer:
12.1
Step-by-step explanation:
=(−2−9)2+(7−12)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−11)2+(−5)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=121+25‾√
=1√46
=12.083046
82.1 mm. Mm are smaller than cm. 82.1 mm is 0.821 cm which is more precise than 48.3 cm
