Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles
So to factor
factor out a x+z
(x+z)(x^2-xz+z^2)
the factors are
x+z and x^2-xz+z^2
P(more than 1 hour of TV | 6th period class) is 0.352.
<h3>What is the probability?</h3>
Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.
P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed
12 / (12 + 9 + 5 + 8)
12 / 34 = 0.352
To learn more about probability, please check: brainly.com/question/13234031
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we conclude that the graphed equation is:
y = 4*cos(pi*x)
<h3>
</h3><h3>
Which trigonometric equation is the one in the graph?</h3>
First, we can see that the graphed function is even, so we know that it wiill be a cosine.
We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.
Then we have something like:
y = 4*cos(b*x)
To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2
Then:
b*1/2 = pi/2
b = pi
Finally, we conclude that the graphed equation is:
y = 4*cos(pi*x)
If you want to learn more about trigonometric equations:
brainly.com/question/8120556
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Let the second no. be x
-3x = 21 → x = 21/-3 → x = -7