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Lilit [14]
3 years ago
13

What is x + 2y - x - y + 5 x​

Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0

Answer:

5x+y

Step-by-step explanation:

x + 2y - x - y + 5 x​

we sum the equals terms

5x+y

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In ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch.
FrozenT [24]

We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.

We will use law of sines to solve for side r.

\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}, where a, b and c are corresponding sides to angles A, B and C respectively.

Let us find measure of angle S using angle sum property of triangles.

\angle R+\angle S+\angle T=180^{\circ}

\angle R+123^{\circ}+28^{\circ}=180^{\circ}

\angle R+151^{\circ}=180^{\circ}

\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}

\angle R=29^{\circ}

\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}

\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}

\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})

r=\frac{93}{0.838670567945}\cdot (0.484809620246)

r=110.889786233799179\cdot (0.484809620246)

r=53.7604351

Upon rounding to nearest tenth, we will get:

r\approx 53.8

Therefore, the length of r is approximately 53.8 inches.

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3 years ago
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