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3 years ago

Determine whether it is possible to construct a triangle with angle measures 46°, 39°, and 95°.

Mathematics

1 answer:

boyakko [2]3 years ago

4 0

Answer:

It is possible

Step-by-step explanation:

Every triangle has 180 degrees if you add the degrees of its angles, so it is possible with this data to construct a triangle

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Graph the following piecewise functions for the specified domain.

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Select the correct answer. This table shows information on types of fragrances sold to men and women in a day at a beauty supply

maria [59]

Answer: C. 27% of men like woody fragrances, and 45% of the people who like citrus fragrances are women

Step-by-step explanation:

Here, Given table,

Citrus Fruity Woody

Men : 27 21 18

Women : 22 26 15

Thus, The percentage of men like woody fragrances

= $\frac{\text{Number of men who like woody fragrance}}{\text{total number of Men}} \times 100$

= $\frac{18}{66}\times 100$

= $\frac{1800}{66}$

= 27.2727..... %

≈ 27 %

Now, The percentage of men like woody fragrances

= $\frac{\text{Number of women who like citrus fragrance}}{\text{total number of persons who like citrus}} \times 100$

= $\frac{22}{49}\times 100$

= $\frac{2200}{49}$

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Thus, Option C is correct.

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3 years ago

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Solve for the values of x and y. Round the answers to the nearest hundredth.

Alinara [238K]

Answer:

x = 26, y = 19

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{ST}{NP}$ = $\frac{RS}{MN}$ , substitute values

$\frac{x}{13}$ = $\frac{32}{16}$ = 2 ( multiply both sides by 13 )

x = 26

and

$\frac{MP}{RT}$ = $\frac{MN}{RS}$ , substitute values

$\frac{y}{38}$ = $\frac{16}{32}$ = $\frac{1}{2}$ ( cross- multiply )

2y = 38 ( divide both sides by 2 )

y = 19

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3 years ago