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3 years ago

What is 10 + x = 23?

Mathematics

2 answers:

atroni [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Assuming we are trying to find x, we know that x and 10 together are equal to 23, so if we subtract 10 from both sides to have x by itself on one side,

$10+x=23\\10-10+x=23-10\\x=13$

and its value on the other.

Sloan [31]3 years ago

5 0

Answer:

x = 13

Step-by-step explanation:

This is a simple algebraic problem. Since x must be left by itself in order to solve, we subtract 10 on both sides, giving us the final answer of x = 13.

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What is the slope of the line that passes through the pair of points? (1, 7), (10, 1)

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The slope of the line can be calculated as:

(1-7) / (10-1) = -6 / 9 = -2/3

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Answer:

x = 5

Step-by-step explanation:

The opposite sides of a rectangle are equal , then perimeter

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Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian

Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

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It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

$\frac{3}{4}=0.75$

So,

$0$

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

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3 years ago

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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3 years ago