Answer:

Step-by-step explanation:
Given


Required
Determine the line equation
First, we calculate the slope (m) using




The equation is then calculated using:


Open bracket



For this case we must simplify the following expression:
We eliminate the parentheses taking into account that:

So:

We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

Answer:

Answer:
See explanation
Step-by-step explanation:
In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.
Consider triangles DIH and EGH. In these triangles,
as alternate interior angles;
as vertical angles;
because point H bisects segment DE (given).
Thus,
by AAS postulate
Let p = the normal price.
Then 7(p - .75)= 2.80
Divide by 7: p - .75 = .40 and p = 1.15
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>