Answer: The answer is H!
Step-by-step explanation: H!
The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc
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Answer:
They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
Given:
The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).
To choose: the correct option
Solution:
According to distance formula distance between points
is given by 
For ΔMNO,

For ΔPQR,

So,

Therefore, They are similar by the definition of similarity in terms of a dilation.
Two triangles are said to be similar if their sides are proportional.
Answer:
B, 
Step-by-step explanation:
Using the law of cosines, which is
, you can simply insert all the values.
c=|u+v|
a= r value of u (10)
b= r value of v (5)
To find C, you simply have to subtract v from u, and then subtract that number from 180 to find the reference angle.
I.E.: ∠135 - ∠30 = ∠105 ↔ 180 - 105 = 75 = C
so, the completed equation would be 10^{2} + 5^{2}- 2(10)(5)cos(75)
Answer:

Step-by-step explanation:
We know that the transformations of a cosine equation can be shown as:
y=±a(b(x-h))+k
Where 'a' is the amplitude
'b' is the horizontal change (Do 2π/b to find the period)
'h' is the horizontal shift
and 'k' is the vertical shift or midline.
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If the amplitude is 4, we can assume a=4.
Since the period is 4/7, we can solve for the 'b' value by:

Next, since the midline is 2, we know that a vertical shift of 2 occurred. Thus, the 'k' value is 2.
Writing this equation gives us:
