Answer:

Step-by-step explanation:
Its given:

Answer:
x=8
Step-by-step explanation:
Triangle DCE is similar to EGF
CE/EF=DE/EG
Substitute
(8x-1)/21=(6x+3)/17
Cross multiply
(8x−1)*(17)=(6x+3)*(21)
136x−17=126x+63
Subtract 126x from both sides
10x−17=63
Add 17 to both sides.
10x−17+17=63+17
10x=80
Divide both sides by 10.
x=8
Given:
The three equations for the three numbers are



To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get



In the same way find b and c.


The third number is



The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
The expression can be simplified as:
k^3(k7/5)^-5
= k^(3+-5) * (7/5)^-5
(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
Two consecutive integers are 17+18