Find the value of x.

Mathematics

2 answers:

skad [1K]2 years ago

6 0

x + 150 = 180

x = 180 - 150

x= 30

then

X = 30

so, when x+ 85 =180

30+85 = 180

115= 180

180-115

= 65

-BARSIC- [3]2 years ago

6 0

Answer:

65 degrees

Step-by-step explanation:

Make a triangle with x as one of the degrees. So 180 - 150 = 30 would be another, and 85 would be the other. A triangle's degrees is 180, so 85 + 30 = 115, and 180 - 115 = 65, and that would be the answer.

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1 Point

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Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

<em><u>Ratio for the volumes of two cylinders</u></em>

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$