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3 years ago

Find the missing side

Mathematics

2 answers:

Mice21 [21]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

$\frac{3}{12}$ = $\frac{x}{20}$ ( cross- multiply )

12x = 60 ( divide both sides by 12 )

x = 5

madreJ [45]3 years ago

3 0

$12 \div 3 = 4$

$x = 20 \div 4$

x = 5

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f varies jointly as g, h, and j. One set of values is f=18, g=4, h=3, and j=5. Find f when g=5, h=12, and j=3.

IrinaK [193]

Answer:

$\boxed{60}$

Step-by-step explanation:

f ∝ ghj

Convert the proportion to an equality

f = kghj

Calculate the value of k

18 = k × 4 × 3 × 5

18 = 60k

k = ⅓

Rewrite the equation with the value of k

f = ⅓gkj

Find the new value of f

f =⅓ × 5 × 12 × 3 = $\boxed{60}$

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3 years ago

Which angles are corresponding angles? Check all that apply.

artcher [175]

Corresponding angles are 3 and 7, 4 and 8, and 2 and 6.

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4 years ago

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Nimfa-mama [501]

Second answe is the correct answer

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4 years ago

Help will give brainliest

dolphi86 [110]

Answer:

y = 4

Step-by-step explanation:

KM / 10 = KO / 16

(4y - 1) / 10 = 6y / 16

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60y = 64y - 16

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3 0

3 years ago

A large diamond with a mass of 481.3 grams was recently discovered in a mine. if the density of the diamond is 3.51 grams over c

agasfer [191]

The volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³

<h3>Density, Mass and Volume </h3>

From the question, we are to calculate the volume of the diamond

Using the formula,

Density = Mass/ Volume

Then, we can write that

Volume = Mass/ Density

From the given information,

Mass of the large diamond = 481.3 grams (g)

Density of the diamond = 3.51 grams/ centimeters cubed (g/cm³)

Putting the parameters into the formula, we get

Volume = (481.8 g)/ (3.51 g/cm³)

Volume = 137.1225 cm³

Volume ≈ 137.1 cm³

Hence, the volume of the diamond is 137.1 cm³. The correct option is the last option 137.1 cm³

Learn more on Density, mass and volume here: brainly.com/question/1762479

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2 years ago