Answer:
Correct choice is B
Step-by-step explanation:
In step 4 were proved that 
By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,
Equivalent expressions are expressions with equal values
The equivalent expression is 16.5d+9
<h3>How to determine the equivalent expression</h3>
The expression is given as:
14.5d+8.5-1/2d+1/2+2.5d
Express the fractions as decimals
14.5d+8.5-0.5d+0.5+2.5d
Collect like terms
14.5d-0.5d+2.5d+8.5+0.5
Evaluate the like terms
16.5d+9
Hence, the equivalent expression is 16.5d+9
Read more about equivalent expressions at:
brainly.com/question/2972832
Answer: 6 x 8=48
Step-by-step explanation:
Answer: Choice A
y = (-3/4)(x + 4) + 6
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Let's go through the answer choices
- Choice A is something we'll come back to
- Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
- Choice C is false for similar reasons as choice B. The slope should be negative.
- Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.
We've eliminated choices B through D.
Choice A must be the answer through process of elimination.
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Here's an alternative method:
If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4
This is because we've moved down 3 units and to the right 4 units.
m = slope = rise/run = -3/4
We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.
Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)
So,
y - y1 = m(x - x1)
y - 6 = (-3/4)(x - (-4))
y - 6 = (-3/4)(x + 4)
y = (-3/4)(x + 4) + 6
The first step I would do would be to list the factors of 28.
28(1)
14(2)
7(4)
Now notice that 7 + 4 = 11
So that means that -7 + -4 = -11.
Therefore, -7(-4) = 28
Your two numbers are - 7 and - 4. Hope that helps!
