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lorasvet [3.4K]
3 years ago
6

What is the measure of ∠A, the exterior angle of the triangle shown below? F. M∠A = 92°, because 180 – (50 + 38) = 92. G. M∠A =

272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.M∠A=78°,because 50–38=12and90–12=78. J. M∠A = 88°, because 50 + 38 = 88.
Mathematics
1 answer:
hjlf3 years ago
3 0

Answer: A is 88

Step-by-step explanation:

Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

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tatuchka [14]

Answer:

0.66 and 33/50

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I hope that is correct and helps you! :)

Step-by-step explanation:

8 0
3 years ago
Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to
trasher [3.6K]
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2


abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.


d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
4 0
3 years ago
Find the sum of the measures of the interior<br> angles of a convex 70-gon.
Mkey [24]
The sum of interior angles of a polygon with n sides is 180*(n-2)
Therefore, for this question,
n=70
the sum of interior angles=180*(70-2)=180*68=12240 degree
Pls mark me as the Brainliest as I really need it!
4 0
2 years ago
You deposit $200 in an account earning 3% interest compounded
anastassius [24]

Answer:

$268.78

Step-by-step explanation:

We will use the compound interest formula to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 3% into its decimal form:

3% -> \frac{3}{100} -> 0.03

Now, plug in the values:

A=200(1+\frac{0.03}{1})^{1(10)}

A=268.78

After 10 years, you will have $268.78

5 0
3 years ago
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jek_recluse [69]

Answer:

Wait are u trying to find the area of a shape???

Step-by-step explanation:

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3 years ago
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