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2 years ago

Find the length of segment AB. (Write only a number. Not letters or equal sign)

Mathematics

1 answer:

Inessa [10]2 years ago

3 0

Answer:

11 is the answer.

Process :-

AB = AM + MB

or, AB = 5.5 + 5.5 ( AM = MB = 5.5)

so, AB = 11

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

3 years ago

The perimeter of a rectangular playgroundis 46m. If the length of the park is 7m, what is the width of the park ?

Vikki [24]

Answer:

Step-by-step explanation:

7m + 7m = 14m

46m - 14m = 32m

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2 years ago

Pls help will mark brainliest

tatuchka [14]

Answer: subtract 10

Step-by-step explanation: 25 - 10 =15

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2 years ago

Please answer the question in the picture

Svetlanka [38]

Answer:

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Step-by-step explanation:

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2 years ago

How to find angles of a parallelogram

irina [24]

Answer:

There are six important properties of parallelograms to know:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

Step-by-step explanation:

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2 years ago