12. The sum of three consecutive integers is 12 more than twice the largest integer. Which of the following

Mathematics

1 answer:

baherus [9]3 years ago

5 0

Answer:

OPTION 4

Step-by-step explanation:

Let the three consecutive numbers be n, (n + 1) and (n + 2).

Note that the largest number of the three is (n + 2) and the smallest is n.

So, according to the given data, the sum of all the three integers is equal to 1 more than twice more than the largest number.

Writing it mathematically, we have:

n + (n + 1) + (n + 2) = 12 + 2(n + 2)

This is OPTION (4) and is the answer,

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Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl

HACTEHA [7]

ANSWER

B) A rectangle with a length of 15 cm and a width of 9 cm.

EXPLANATION

The given rectangle, A, has length, 10cm and its width is 6cm.

The rectangle that is similar to rectangle A, has the corresponding sides in the same proportion.

For option A, the triangle has length 9cm and width 6cm.

The ratio of the corresponding sides are:

$\frac{10}{9} \ne \frac{6}{6}$

Since the ratios are not equal, the two triangles are not similar.

For the triangle in option B, the length is 15cm and the width is 9cm.

The ratio of the corresponding sides are:

$\frac{10}{15} = \frac{6}{9} = \frac{2}{3}$

Since the sides of the triangle are in the same proportion, the two triangles are similar.

For option C, the proportions are not the same.

$\frac{10}{14} \ne \frac{6}{7}$

The proportions are not the same for the triangle in option D.

$\frac{10}{12} \ne \frac{6}{8}$