A) The vertices of the ABCD square are:
(2,2), (1(4), (3,5), and (4,3).
The reflection over the x-axys keeps the same x-coordinate and changes the y-coordinate ot its negative.So, the vertices of the square A'B'C'D' are:(2,-2), (1,-4), (3,-5), and (4,-3).You can
see the figure attached showing the four vertices.
<span>B. Is AB congruent to A'B'? Explain
Answer: Yes, they are congruent. You can affirm that because
reflections are transformations that do not change either sizes or angles, but keep them, so the two squares are congruent.
C. Is the area of ABCD ≈ area of A'B'C'D'? Explain.
Answer:Yes, the two areas are equal since you have shown that the two figures are congruent.
</span>
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means

∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Replace x with 2 and solve:
3(2)^3 - 4(2)^2 +2-1 = 9
answer is E none of these
Faye will have $1704.00 total money in her account.
She earned $504.00 interest for 7 years.
(She earned $144 for 2 years, divide in half $72 a year= $72×7=$504