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.
Work= forcexdistance
force=55x10(or 9.8 depending on which gravitational field strength you use)
force= 550N
work = 550x0.2
work= 110J
six steps=110x6=660J
Answer:

Step-by-step explanation:
Given


Required
Determine the minimum Katie will list the house
The given minimum is the minimum she can receive for the house after commission
To calculate the listing minimum, we make use of the following:




<em>The minimum She can list the house is $241786</em>
Answer:
1/13
Step-by-step explanation:
There are 4 nines in a deck so the probability is 4/52 = 1/13