Im confused is 3a the same as 5a squared or 4b to 4b squared
1 answer:
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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:
Let 
be the tickets that the adults bought, and
be the tickets that children bought.
From the problem we have the system of linear equations:
The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for
Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
Last but not least, to find the total number of tickets, we are going to add and 
:
We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>
From the problem we have the system of linear equations:
The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for
Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
Last but not least, to find the total number of tickets, we are going to add
We can conclude that <span>Northwest High School's senior class sold 632 raffle tickets.</span>