Answer:
Slope intercept form is y = 2x-4
Step-by-step explanation:
Given equation: 2y + 2 = 4x - 6
The general form of slope intercept form is y = mx+c
2y + 2 = 4x - 6
2y = 4x - 6 -2
2y = 4x -8
dividing throughout by 2
y = 2x -4
Hence the slope intercept form is y = 2x -4
Y+y+17+111+90=360
2y+128+90=360
2y=360-218
2y=142
y=142/2
y=71
thus, the angles are 71, 90, 111, 88.
Answer:
r= 7.14 (rounded to 2 decimal places)
Step-by-step explanation:
We have to solve this equation for the value of r. We will use distributive property and basic algebra to solve this.
Distributive property is a(b+c) = ab + ac
Now, the steps of solving are shown below:

Hence, value of r is 7.14 (rounded to 2 decimal places)
See attachment for math work and answer.
Answer:
Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.
Step-by-step explanation:
Informally, subtract DE from CE and DF. This will show CD ≅ EF.
Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.
Corresponding parts of congruent triangles are congruent, namely the angles C and F.
Since base angles of ΔACF are congruent, it is isosceles.