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Fofino [41]
3 years ago
13

Explain why the triangles are similar then find out the distance represented by x​

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:

  • Corresponding angles are congruent
  • Corresponding sides are in proportion

Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:

\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}

<h2>Learn more:</h2>

Right and scalene triangles: brainly.com/question/10379190

#LearnWithBrainly

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Three times a number increased by 8 is at most 40 more than the number. Find the greatest value of the number.
Sidana [21]

Answer:

That\:number\:is\:16

Step-by-step explanation:

Let\:x\:be\:the\:number\\We\:have\:an\:equation:3x+8=x+40\Leftrightarrow 2x=32\Leftrightarrow x=16

3 0
4 years ago
Jari invests in a CD with an annual interest rate of 6.90% compounded quarterly. How many years will it take for Jari's investme
ivann1987 [24]

Answer:   10.1246 years (approx)

Step-by-step explanation:

Here, She invests in a CD with an annual interest rate of 6.90% compounded quarterly.

Let the initial amount or principal = P

And, Let after t years it is doubled.

Therefore, 2P= P(1+\frac{6.9}{400} )^{4t}

⇒ 2 = (1+\frac{6.9}{400} )^{4t}

⇒log 2 = t log(1+\frac{6.9}{400} )^4 ( By taking log both sides)

⇒log 2 = t log(1.01725 )^4

⇒t= log 2/log 1.07080599536= 10.1245504311≈10.1246 years


3 0
3 years ago
Rachel wants to collect data about the snack habits of her friends.
Ghella [55]
All of them are statistical
4 0
3 years ago
Read 2 more answers
1/2+3×2,by second power minus 1​
Katen [24]

Answer:

11.5

Step-by-step explanation:

1/2=0.5

Follow PEMDAS

0.5+(3*(2^2))-1

2^2=4

4*3=12

12-1=11

11+0.5=11.5

5 0
4 years ago
The number of entertainment websites in 1995 was 54. By 2004 there were 793 entertainment websites. Approximately what was the r
iren [92.7K]

Answer:

Step-by-step explanation:

2004 - 1995 = 9 years

793 - 54 = 739 new sites

739 / 9 = 82.1111111111

approx  82 websites per year change..  ( delta is change )

6 0
3 years ago
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