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Lerok [7]
2 years ago
13

Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?​

Mathematics
1 answer:
pantera1 [17]2 years ago
8 0

Answer:

A)

Step-by-step explanation:

In the first image, AC=13, and in the second image, DE=26. so basically, every measurement is simply doubled.

12(2)= 24, DE=24

5(2)=10, EF= 10

Let me know if you need further explanation!

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3 years ago
Find the value of x that will make A||B
sertanlavr [38]

Answer:

x = 4

Step-by-step explanation:

If A is parallel to B, therefore,

9x + 4 = 5x + 20 (alternate interior angles are congruent)

9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)

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4x + 4 - 4 = 20 - 4 (subtraction property of equality)

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3 0
3 years ago
Prove that<br> tan² 20° + tan² 40° + tan² 80° = 33​
Natalija [7]

Answer:

Step-by-step explanation:

Now we know that

sec²θ -tan² θ= 1 ,

So tan²θ =sec²θ - 1

So the left of the given equation will be

sec²20 + sec²40 +sec²80 - 3

So

1/cos²20+1/cos²49+1/cos²80 -3

Remember sec θ= 1/cosθ

So

= since secθ = 1/cosθ

we have

= 1.1324 + 1.7040 + 33.1634 - 3

= 35.9998 - 3

= 33

8 0
3 years ago
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