Answer:
150
Step-by-step explanation:
The perimeter of a triangle is defined or given as the summation of all its 3 sides.
Mathematically,
The perimeter of a Triangle = Side A + Side B + Side C
In the above question, we are to find the perimeter of Triangle AGN.
In the diagram , we have an inscribed circle of RTE
Therefore these values are given in the question.
Side AR = 35
Side RG = 21
Side EN = 19
We have an inscribed Triangle in the question with its side touching the Triangle. This means we have lines that are tangent. Hence we have,
Side EG = Side RG = 21
Side TN = Side EN = 19
Side AT = Side AR = 35.
Therefore, The Perimeter of Triangle AGN = Side AT + Side AR + Side TN + Side EN + Side EG + Side RG
= 35 + 35 + 19 + 19 + 21 + 21
= 150
The perimeter of Triangle AGN is 150
I think answer is 120 right?
Sorry if my answer is incorrect.
Answer:
They can both do 35 push-ups per minute, with an equal ratio between them.
Step-by-step explanation:
Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:
70/2 = X
35 = X
105/3 = X
35 = X
Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.
Sin and cos functions can never be equal to 5. They can never be greater than 1! Both!
You can think of sin and cos functions as projections (that is how i do). Imagine xy coordinate system. Draw a circle which center (center of circle) is in center of xy coordinate system. Let radius of that circle be one (you can take one to be any length you want).
Now, x - axis and any radius of that circle make an angle.
NOW HERE IS IMPORTANT PART:
-projection of that radius on x-axis is cosine of the angle that radius and x-axis make.
-projection of that radius on y-axis is sinus of the angle that radius and x-axis make.
From that you can see that projections cannot ever be greater than 1.
Answer:
Step-by-step explanation:
You have an angle bisector in AD. That means the sides are in proportion to to BD and DC
It's much easier just to look at the proportion.
AB / BD = AC/DC
18 / (3x - 3) = 15/(x + 5) Cross multiply
18*(x + 5) = 15 (3x - 3) Remove the brackets
18x + 90 = 45x - 45 Switch the sides.
45x - 45 = 18x + 90 Subtract 18x from both sides
<u>-18x -18x</u>
27x - 45 = 90 Add 45 to both sides
<u> +45 45</u>
27x = 135
x = 5
But that's not the answer (even though it is correct). You want BD
BD = 3x - 3
BD = 3*5 - 3
BD = 15 - 3
BD = 12