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2 years ago

I need to know then measurement of c

Mathematics

2 answers:

sergey [27]2 years ago

8 0

C is 666666688888 from my lookings. Jk

melisa1 [442]2 years ago

6 0

Answer:

$\huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}}$

Step-by-step explanation:

✰ $\underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}$

The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.

❀ $\sf{Now, \: Let's \: solve} :$

☄ $\underline{ \underline{ \sf{Provided : }}}$

∠B = 3x°
∠ C = 4x°
∠ A = 2x°

☄ $\underline{ \sf{To \: Find :}}$

Measure of C

✏ $\text{Set \: up \: an \: equation \: and \: solve \: for \: x.}$

$\text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}$

→ $\sf{2x + 3x + 4x = 180 \degree}$

→ $\sf{9x = 180 \degree}$

→ $\sf{ \frac{9x}{9} = \frac{180 \degree }{9} }$

→ $\sf{x = 20 \degree}$

The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :

$\text{∠c = 4x}$

→ $\sf{∠ \: c \: = 4 \times 20 \degree}$

→ $\boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}$

Hence , The measure of ∠ C is 80 °

Hope I helped ! ッ

Have a wonderful day / night ! ♡

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3 years ago

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Answer:

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

Step-by-step explanation:

Tras una lectura cuidadosa al enunciado, tenemos que la Tercera Ley de Kepler queda descrita por la siguiente relación:

$M \propto \frac{r^{3}}{T^{2}}$

$M = k\cdot \frac{r^{3}}{T^{2}}$ (Eq. 1)

Donde:

$r$ - Distancia entre los centros del planeta y el satélite, medido en kilómetros.

$T$ - Período oribital del satélite, medido en días.

$k$ - Constante de proporcionalidad, medida en kilogramo-días cuadrados por kilómetro cúbico.

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Podemos obtener la masa del Sol mediante la siguiente relación:

$\frac{M_{S}}{M_{E}} = \frac{\frac{r_{E}^{3}}{T_{E}^{2}} }{\frac{r_{M}^{3}}{T_{M}^{2}} }$

$\frac{M_{S}}{M_{E}} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}$ (Eq. 2)

Donde:

$T_{M}$ , $T_{E}$ - Períodos orbitales de la Luna y la Tierra, medidos en días.

$r_{E}$ , $r_{M}$ - Distancias entre la Tierra y el Sol, así como entre la Luna y la Tierra, medidas en kilómetros.

$M_{S}$ , $M_{E}$ - Masas del Sol y la Tierra, medidos en kilogramos.

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$M_{S} = \left(\frac{T_{M}}{T_{E}} \right)^{2}\cdot \left(\frac{r_{E}}{r_{M}} \right)^{3}\cdot M_{E}$

$M_{S} = \left(\frac{27.3\,d}{365.3\,d} \right)^{2}\cdot \left(\frac{1.496\times 10^{8}\,km}{3.84\times 10^{5}\,km} \right)^{3}\cdot (75.97\times 10^{24}\,kg)$

$M_{S} = 2.509\times 10^{31}\,kg$

La masa del Sol es $2.509\times 10^{31}$ kilogramos.

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3 years ago

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Answer:

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Step-by-step explanation:

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9 months ago

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Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

------------

Explanations:

The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.

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3 years ago

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