Model It Complete the problems about using hanger diagrams to reason about
the value of an unknown in an equation.
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a. When the top bar in a hanger diagram is level, it means the hanger
diagram is balanced. That means the value of what is on one side is equal
to the value of what is on the other side. The hanger diagram at the right
models the equation 3x = 6. How can you use the diagram to find the
value of x?
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b. What does the hanger diagram show is the value of x?

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15