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dlinn [17]
3 years ago
14

Are this two triangles similar?

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0
<h3>Answer:   </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

======================================================

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that \triangle ABC \sim  \triangle DE F

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

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Step-by-step explanation:

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3 years ago
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Can someone explain how to solve this and the solution? Please and thank you :)
Verizon [17]
25 > 2x + 8 - 66

first simplify all numbers

25 > 2x + (8  - 66)
25 > 2x - 58

Then add 58 to both sides

25 (+58) > 2x - 58 (+58)
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3 0
2 years ago
Factorize:<br>3a^2 + 10a + 3​
sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

<u>Solve:</u>

Given = 3a² + 10a + 3

<em>STEP ONE: separate 3a² into two terms</em>

3a

a

<em>STEP TWO: separate 3 into two terms</em>

3

1

<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>

3a     1

a       3

When cross multiply, 3a × 3 + 1 × a = 10a

<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>

3a  ⇒   1

a   ⇒    3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

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3 years ago
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lesya692 [45]
Not sure what your asking here
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What number should go in box A on this number line? 4. 5. A​
cestrela7 [59]

Answer:

5

Step-by-step explanation:

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