Answer:
D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.
Step-by-step explanation:
The scale factor is equal to 1. Hence, the quadrilateral A'B'C'D' will be identical to quadrilateral ABCD, whose vertices are the same.
The algebraic expression of the dilation is:
Besides, the coordinates of the new quadrilateral are A'(3, 3), B'(5, 3), C'(7, 1), and D'(1, 1)
And quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.
Therefore, the right answer is D.
Answer:
<h2>The two geometric means between 20 and 2500 are <em>
100 and 500.</em></h2>
Step-by-step explanation:
First of all we all should know about a <em>geometric progression </em>to solve this question.
A geometric progression is a series in which there is a first term <em>a </em>and all the next terms are calculated by multiplying the previous term by a common number <em>r</em>.
where <em>a</em> is known as first term and
<em>r</em> is known as common ratio.
In the question we are given <em>a </em>as 20 and we have to find out 2 terms after 20 and 4th term is given as 2500.
Formula for term in a geometric progression is:
Here = 2500
As per formula of term:
Now, 2nd term:
Now, 3rd term:
So, the two geometric means between 20 and 2500 are <em>100 and 500</em>.
Answer: The answer should be -0.5
Step-by-step explanation:
Suppose the original price to be x.
62%x=296.4
Divide both sides by 62% to get x=478, which is the original price.
Answer:
x=-1/2
Step-by-step explanation:
add 2 to both sides
3x=x-1
subtract x from both sides
2x=-1
divide by 2
x=-1/2