6(x-k)=5x+4

show that x must be an even number.

See Below

Step-by-step explanation:

We will use distributive property [a(b+c) = ab + ac] to simplify the left-hand side of the equation and add like terms and solve for x first. Process shown below:

To show x is ALWAYS AN EVEN number, we can plug in a value for k (even and odd) to show that x becomes always even.

Even Number Case:

k = 2 (2 is an even number, any even would be the same):

x is 16, which is even number

Odd Number Case:

k = 3 (3 is an odd number, any odd would be the same):

x is 22, which is an even number.

Hence, x will always be an even number (shown).

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh