1) Which of the following is an example of a dilation?
The correct answer is A) The hearts.
2) If triangle ABC is reflected across line m, the new coordinates will be located at A'(2, -4) B'(7,-7) C'(-2, -7).
The answer is False.
I hope this helps! I can't really see #3. Sorry. But I got #'s 1 & 2 though!
Answer:
-⅔
Step-by-step explanation:
8^x = 4^(-1)
2^3x = 2^(-2)
3x = -2
x = -⅔
Answer:
E. 99.7%
Step-by-step explanation:
Calculate each z-score.
z = (x − μ) / σ
z = (173 − 128) / 15
z = 3
z = (x − μ) / σ
z = (83 − 128) / 15
z = -3
You can use a z-score table, or use the empirical rule.
P(-3 < z < 3) = 99.7%.
The aides of a right triangle will always satisfy the Pythagorean relationship ...
a² + b²= c²
We can take each of these and try it out:
(1) ... 10² + 24² = 100 + 576 = 676
√676 = <em>26 Yes</em>.
(2) ... 12² + 18² = 144 + 324 = 468
√468 = 21.6, not 20. <em>No.</em>
(3) ... 15² + 26² = 225 + 676 = 901
√901 = 30.017 Awfully close. As an engineer, I'll buy this one. <em>Yes.</em>
(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
√4,100 = 64.03, not 80.<em> No.</em>
For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or
.
Answer:
The three sides have the same length
