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Lisa [10]
3 years ago
14

Lines L and M are parallel. Find : m_5 Enter the number that belongs in the green box.

Mathematics
1 answer:
kompoz [17]3 years ago
7 0

m∠5 = 142°

Solution:

Line l and m are parallel.

<em>Sum of the adjacent angles in a straight line is 180°.</em>

⇒ 38° + m∠7 = 180°

⇒ m∠7 = 180° – 38°

⇒ m∠7 = 142°

∠5 and ∠7 are corresponding angles.

<em>If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.</em>

⇒ ∠5 ≅ ∠7

⇒ m∠5 = m∠7

⇒ m∠5 = 142°

Therefore m∠5 = 142°.

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A) El yute es una fibra natural muy resistente y
lana66690 [7]

El lado de cada portavasos de yute, cuya área superficial es de 64 centímetros, mide 8 centímetros.

Tras una lectura al enunciado de esta pregunta se infiere que que Lorena compró portavasos de yute , cuya área superficial es de 64 centímetros de forma <em>cuadrada</em>, puesto que la ecuación de área de un cuadrado es en función exclusivamente de la longitud del lado.

En consecuencia, tenemos que la medida del lado del portavasos está determinado por la siguiente ecuación de área superficial:

l = \sqrt{A} (1)

Donde:

  • l - Lado, en centímetros.
  • A - Área, en centímetros cuadrados.

Si sabemos que A = 64\,cm^{2}, entonces la medida del lado del portavasos de yute es:

l = \sqrt{64\,cm^{2}}

l = 8\,cm

El lado de cada portavasos de yute, cuya área superficial es de 64 centímetros, mide 8 centímetros.

Invitamos cordialmente a ver esta pregunta sobre áreas: brainly.com/question/16151549

4 0
2 years ago
125 divided by 32 equals what
andreyandreev [35.5K]
32 × 2 = 68
32 × 3 = 96
32 × 4 = 128

So far we can conclude that the answer to your question lies somewhere between the numbers 3 and 4. To narrow down the answer some more, multiply 32 by 3.5 (a midway point between 3 and 4).

32 × 3.5 = 112
The number 112 tells us that the decimal we are looking for is higher than 3.5. (Because we need to get to 125, not 112.) Let's try some decimals between 3.5 and 4.

32 × 3.7 = 118.4
32 × 3.8 = 121.6
32 × 3.9 = 124.8
32 × 4 = 128

As we narrow down our answer, we can see that the number we are looking for lies between 3.9 and 4 on the number line. Now we need to start testing some decimals between 3.9 and 4. 

32 × 3.905 = 124.96
Again, use the number five as a "midway" point to decide if you should use numbers that are higher or lower than 3.905. In this case, we need to use numbers higher than 3.905.

32 × 3.906 = 124.992
32 × 3.907 = 125.024

We are getting even closer to our number now that we know the decimal is somewhere between 3.906 and 3.907.

32 × 3.9065 = 125.008
With our midway point we can see that our number lies between 3.906 and 3.9065. Let's try a quarter point to see where our number lies from there.

32 × 3.90625 = 125
And BINGO! We have found the answer to the question. To be rephrased, our answer can be put like this:

\frac{125}{32} = 3.90625
6 0
4 years ago
Which point is located at (2, 3)?<br> A<br> B<br> C<br> D
muminat

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Express <br> 8.218.21<br> 8.21<br> 8, point, 21<br> as a mixed number.
djverab [1.8K]
8 21/100 is the answer
3 0
3 years ago
3x + 4y = 8<br> How do I solve this
dimaraw [331]

Answer:

y= (-3x+8)/4

x = (-4 +8)/3

Step-by-step explanation:

3x + 4y = 8

-3x               -3x

4y = -3x +8     divide ALL by 4

y= (-3x+8)/4

3x + 4y = 8

    -4y          -4y

3x = -4 +8     divide ALL by 3

x = (-4 +8)/3

5 0
3 years ago
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