What is an equation of the line that passes through the point (8, 2) and is parallel to the line 5x - 4y = 36?​

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rearrange the given equation into y-intercept form (this will help us determine m)

Subtract 5x from both sides

Divide both sides by -4

Now, we can see that is in the place of m, making it the slope. Because parallel lines have the same slopes, the slope of the line we're solving for is therefore . Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (8,2) and solve for b

Subtract 10 from both sides

Therefore, the y-intercept is -8. Plug this back into :

I hope this helps!

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.