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2 years ago

Add 6370 square to 6370 square

Mathematics

1 answer:

Phantasy [73]2 years ago

7 0

I’m not sure if this is what you meant

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AC=36cm, and BC=27cm. Verify that DE\\AB.

emmasim [6.3K]

Answer:

$\overline {DE} \parallel \overline{AB}$ because $\frac{EC}{DC} = \frac{AC}{BC}$ .

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, $\overline {DE} \parallel \overline{AB}$ if and only if $\frac{EC}{DC} = \frac{AC}{BC}$ . If we know that $EC = 15\,cm$ , $DC = 20\,cm$ , $BC = 36\,cm$ and $AC = 27\,cm$ , then we have the following result:

$\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}$

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

Hence, $\overline {DE} \parallel \overline{AB}$ .

4 0

3 years ago

Why couldn’t the chicken find her egg

adell [148]

Because she was sitting on it

8 0

4 years ago

Read 2 more answers

Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?

attashe74 [19]

The phrase in the original question is:

....if they lost 12 games......

not

....if they lost board games......

Answer:

36 games won

Step-by-step explanation:

Given

$\%Win = 75\%$

$Lost = 12\ games$

Required

Number of games won

Give that: $\%Win = 75\%$

The percentage loss is:

$\%Loss = 100\% - \%Win$

So, we have:

$\%Loss = 100\% - 75\%$

$\%Loss = 25\%$

Calculate the number of games (n) using:

$Lost = \%Loss * n$

$12 = 25\% * n$

Make n the subject

$n = \frac{12}{25\%}$

$n = 48$

So, the games won is:

$Win = n - Lost$

$Win = 48 - 12$

$Win = 36$

3 0

3 years ago

Given that lines a and b are parallel and that m∠2 = 68°, find m∠5

Flura [38]

Answer: 112 degrees

Step-by-step explanation: In this problem, we are trying to find the m<5.

Notice that <2 and <3 are vertical angles which means they are congruent.

So we know that the m<3 is 68 degrees.

Now, notice that <3 and <5 are same side interior angles because

they lie on the same side of the transversal and on interior of lines a and b.

Now, it's important to understand that

same side interior angles are supplementary.

So we can setup the equation 68 + m<5 = 180.

Subtracting 68 from both sides, we have the m<5 = 112.

So the m<5 is 112 degrees.

3 0

3 years ago

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

N76 [4]

If the series is made up of numbers in an arithmetic progression, you have

$\displaystyle\sum_{n=1}^{18}a_n=\sum_{n=1}^{18}(a_1+(n-1)d)=18a_1+153d=4185$

where $a_1$ is the first term and $d$ is the common difference between terms.

Since the last term in the series is $a_{18}=275$ , you have

$a_{18}=a_1+(18-1)d\implies a_1+17d=275$

Solve the system

$\begin{cases}18a_1+153d=4185\\a_1+17d=275\end{cases}$

and you'll find that the first term is $a_1=190$ (with $d=5$ ).

5 0

4 years ago