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:
The answer is 11 5/18 because it is so easy.
If you have an eye for geometry you can see that each shape has the dimensions x by 3x.
Thus, (3 blocks)(3x per block) comes out to 9x=16.2 cm = length of rectangle.
If this is true, then x = 1.8 cm
Then the area of the rect. is (width)(length) = (9 cm)(16.2 cm) = 145.8 cm^2.
Algebraically, 5(1.8 cm)(16.2 cm) = 145.8 cm^2 (answer)
Answer:
50
Step-by-step explanation:
