Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Step-by-step explanation:
Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.
A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.
Also, the corresponding angles of similar triangles are congruent.
Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:
<span>2x + 5y = -13 /*4
3x - 4y = -8 /*5
</span>_________________
8x + 20y = -52
15x - 20y = -40
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8x + 15x + 20y - 20y = -52 - 40
23x = -92 /23
x = -92 / 23
x = -4
<span>2x + 5y = -13
</span>2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
5y = -5
y = -1
(x, y) = (-4, -1)
The correct result would be D.) <span>(-4, -1).</span>
A. P[TTTTH] = .55^4*.45 = .0412
<span>b. P[HHHT] = .45^4*.55 = .0226 </span>
<span>c. 1/.45 = 2.222 </span>
<span>d. 1/.55 = 1.818</span>
Answer:
The correct option is C) 36
Step-by-step explanation:
Consider the provided table:
x - y
1 - 1
2 - 4
3 - 9
4 - 16
Observe the pattern:
If we square the x value we can find the corresponding y value.
For example
2² = 4
Where 2 is x value and 4 is corresponding y value, similarly
3² = 9
4² = 16
Now we need to find the y value when x=6.
To find this simply square the x value that will gives us the corresponding y value.
6² = 36
Hence, the correct option is C) 36
Y = 162 - x would be the equation for the lower data set.
