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3 years ago

In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

Mathematics

2 answers:

Schach [20]3 years ago

5 0

There is only one distinct triangle possible, with m∠N ≈ 33°.

Sindrei [870]3 years ago

4 0

Answer:

One obtuse scalene triangle

Step-by-step explanation:

Given that in a triangle MNO side m =20, side n =14 and angle m = 51

Angle N = sin inverse of (nsin M/m) =32.957 degrees

Angle O = 180-M-N =96.043 degrees

Side o = 25.592

There is one triangle only.

This is because angle N can have two values 32.957 or 147.043

But if m = 51 other angle cannot be 147.043 hence there is only one value for angle N.

When there is only one value for angle N, angle O also can have only one value

So no of triangles = 1

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3 years ago

The midpoint of RS¯¯¯¯¯¯¯ is M. Use the given endpoint R(23, 14) and midpoint M(13, 8) to find the coordinates of the other endp

Oksanka [162]

The coordinates of other endpoint S is (3, 2)

<h3>Solution:</h3>

Given that midpoint of RS is M

Given endpoint R(23, 14) and midpoint M(13, 8)

To find: coordinates of the other endpoint S

The formula for midpoint is given as:

For a line containing containing two points $(x_1, y_1)$ and $(x_2, y_2)$ midpoint is given as:

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here in this problem,

m(x, y) = (13, 8)

$(x_1, y_1) = (23, 14)\\\\(x_2, y_2) = ?$

Substituting the given values in above formula, we get

$(13,8)=\left(\frac{23+x_{2}}{2}, \frac{14+y_{2}}{2}\right)$

Comparing both the sides we get,

$\begin{aligned}&13=\frac{23+x_{2}}{2} \text { and } 8=\frac{14+y_{2}}{2}\\\\&26=23+x_{2} \text { and } 16=14+y_{2}\\\\&x_{2}=3 \text { and } y_{2}=2\end{aligned}$

Thus the coordinates of other endpoint S is (3, 2)

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3 years ago

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slavikrds [6]

Answer:

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Step-by-step explanation:

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3 years ago

4−(3x−8)=21 solve this pls

riadik2000 [5.3K]

Answer:

4 - ( 3x - 8 ) = 21

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[ check if the answer is correct, put -3 instead of X in the above equation ! we get 4 - { 3(-3) - 8 } = 21

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2 years ago