I need help my mom is going to kill me

x=8

m<FGH=32

m<HGI=32

m<FGI=64

Step-by-step explanation:

The first thing you're going to do is form an equation using 5x-8 and 6x-16. The reason for this is because the two angles FGH and HGI are congruent. You form an equation by setting the two equal to each other. LIke this:

5x-8=6x-16

Then you will find x which is 8. After you find x just plug in x for one of the equations like so:

5(8)-8=_  or 6(8)-16=_

You only need to plug in x for one of the angles because they are congruent so you will get the same answer.

To find the measurment of FGI you add the values from FGH and HGI together (32+32) and you'll get 64.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

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step-by-step explanation: