The first answer in the choices
Answer:
SSS
Step-by-step explanation:
KN / PD = 54/24 = 2.25
KB / PF = 49.5/22 = 2.25
BN / DF = 40.5/18 = 2.25
ΔKBN ~ PDF (SSS) : two triangles are similar, their corresponding sides are in equal proportion.
Answer:
C
Step-by-step explanation:
In 1790, Samuel Slater built the first factory in America, based on the secrets of textile manufacturing he brought from England. He built a cotton-spinning mill in Pawtucket, Rhode Island, soon run by water-power. ... In the iron industry, Pennsylvania's furnaces and rolling mills were fast supplanting small local forges.
According to the triangle inequalities rule, the sum of any 2 sides has to be greater than that of the the third side.
We can write two inequalities to resemble this problem.
x + 15 > 19 and 15 + 19 > x
Now, solve for x for both inequalities.
Steps to solve:
x + 15 > 19
~Subtract 15 to both sides
x + 15 - 15 > 19 - 15
~Simplify
x > 4
Steps to solve:
15 + 19 > x
~Simplify
34 > x
We can put both inequalities together to get:
4 < x < 34
The only value from the list of options that can be "x" is 6.
Therefore, the answer is 6cm (Option A)
Best of Luck!