Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
First, put it into point-slope form.
Find the slope:
m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4
Now, put it into point-slope:
y-y1=m(x-x1)
y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24
Slope intercept form: y= mx+b
Add 2 to the other side.
y=-4x-22 <== the answer
I hope this helps!
~kaikers
For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:

It is also known that 25 hours per week are available for sewing, that is:

It has a system of two equations with two unknowns, solving we have:

Multiplying the second equation by -1:

Adding up:

Substituting x in the first equation:

Clearing and:


Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits
Are you trying to figure out what's x?