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Nataliya [291]
3 years ago
12

What would be the measure of the exterior angle for each vertex of an equilateral triangle?

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0

Step-by-step explanation:

The exterior angles of an equilateral triangle will always have a measure of 120°.

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Solving systems equations by elimination
pishuonlain [190]
I won't answer them all for you (don't want to cheat - need to learn something).
But for the first one given:

<span>-2x-9y=-25
-4x-9y=-23

you set up either x or y (which ever one you want to eliminate) so that one of them cancels.
So this one is easy - you just have to multiply an entire row by negative (doesn't matter which one) - so that the y's will be + and - 

Since they're both 9 and they're subracting NOW - you can eliminate the y value. Now add/subtract the x's. So it'd be -2 or 2 depending on how you eliminated y. Then add the number outside of the = sign. Now just solve for x. After that plug in whatever you got for x into both of the rows. Then find the y value.

Hopefully this wasn't confusing -- reply if it is and I will try to simplify. I can give you contact if you need help with the rest 

Good luck!</span>
3 0
3 years ago
An object is launched at 19.6 m/s from a height of 58.8 m. The equation for the height (h) in terms of time (t) is given by h(t)
beks73 [17]
H(t) = Ho +Vot - gt^2/2

Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2

H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2

Maximun height is at the vertex of the parabole

To find the vertex, first find the roots.

58.8 + 19.6t - 4.9t^2 = 0

Divide by 4.9

12 + 4t - t^2 = 0

Change sign and reorder

t^2 - 4t -12 = 0 

Factor

(t - 6)(t + 2) =0 ==> t = 6 and t = -2.

The vertex is in the mid point between both roots

Find H(t) for: t = [6 - 2]/2 =4/2 = 2

 Find H(t) for t = 2

H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4

Answer: the maximum height is 78.4 m
5 0
3 years ago
the table shows the number of cars washed and the amount earned by the car wash over several days. circle the number or term tha
TEA [102]

The first 3 rows are proportional

because when you divide the earning by car washed they all have the same unit rate of 9.5/ to answer the second part you multiply 9.5 by 88. you'll get $836

5 0
3 years ago
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Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6&#10;

Therefore the common ratio is 6.
4 0
3 years ago
Which of the following graphs has the largest average rate of change from -1 to 2?​
Morgarella [4.7K]

Answer:

i dont know either

Step-by-step explanation:

3 0
3 years ago
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