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Fittoniya [83]
3 years ago
14

Find the measure of each interior angle for a regular triangle. Round to the nearest tenth if necessary.

Mathematics
1 answer:
tester [92]3 years ago
5 0

Answer:

answer is 60 degree for each angle

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Question shown in image. Worth 100 points
SpyIntel [72]

Answer:

75 degrees

Step-by-step explanation:

The corresponding angle is 75 degrees

6 0
2 years ago
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If you are dealt 5 cards at random from a standard deck of playing cards, what is the probability that at most 4 of them are spa
alexira [117]

Answer:

Step-by-step explanation:

No of ways in which 5 cards are chosen is N=^{52}C_5

No of ways in which at most  4 cards are spades N_0=Total ways-5 spades

=^{52}C_5-^{13}C_5

Probability that at most 4 cards are spade P=\frac{N_0}{N}

P=\frac{^{52}C_5-^{13}C_5}{^{52}C_5}

P=\frac{2598960-1287}{2598960}

P=\frac{2597673}{2598960}=0.9995

3 0
3 years ago
Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
KLA=120x KLM=168x ALM=48. Find x
kakasveta [241]

Answer:

Step-by-st

respond  poorfa

7 0
3 years ago
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In slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?
kvv77 [185]
Y2 - y1 over x2 - x1 = slope
2 - (-1) = 3
-1 - 2 = -3
the slope is 3/-3, or -1
y = -x
2 = 1 + 1
The equation of the line is y = -x + 1
 
6 0
3 years ago
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