From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
AB = 3 units, AC = 4 units. Using Pythagoras theorem:
BC² = 3² + 4²
BC = 5 units
AE = 6 units, AD = 8 units. Using Pythagoras theorem:
DE² = 6² + 8²
DE = 10 units
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
Find out more on equation at: brainly.com/question/2972832
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With A and its image one can get the dilation factor;
That is dilation scale factor = -6/-4 or 9/6 = 3/2
Therefore, to get the image of B we multiply the coordinates of B by the dilation factor;
(1,4) 3/2 = (1.5, 6)
Thus the image of B = (1.5,6)
It is given in the question that
Steven is solving the equation
He begins with the following two steps.
And we have to find , what will be the next step in solving the equation.
First we combine the like terms. And the like terms are 24 and 40. So we have to add 24 and 40. And that will be the next step.
So the correct option is the last option.
