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Vinil7 [7]
3 years ago
5

In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}

Since, \frac{\text{AB}}{ED}=\frac{AC}{DC}

\frac{42}{6}=\frac{x}{(32-x)}

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = \frac{1344}{48}

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

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Members of Alachua District Choir were asked, when given the choice between Romanticism or Gothic
zalisa [80]

Answer:

\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}

Step-by-step explanation:

Given

Romanticism

Male = 48

Female = 59

Gothic

Male = 63

Female = 62

Required

Complete the table <em>(See attachment for complete question)</em>

The table can be represented as:

\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}

The "total" column represents the number of males and female sampled, respectively.

Male = 48 + 63 = 111

Female = 59 + 62 = 121

The "total" row represents the number of Romanticism and Gothic sampled, respectively.

Romanticism = 48 + 59 = 107

Gothic = 63 + 62 = 125

The overall sample is calculated by adding up the number of males and females or the number of Romanticism and Gothic

Overall = Male + Female

Overall = 111 + 121 = 232

or

Overall = Romanticism + Gothic

Overall = 107 + 125 = 232

7 0
3 years ago
a bowling ball has a mass of 5.54 kg. A bowling pin has a mass of 1.58 kg. About how many pins are equal in mass to one ball
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5.54kg÷1.58kg= <span>3.50632911392</span>
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