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Sholpan [36]
3 years ago
5

The altitudes of a right triangle intersect

Mathematics
1 answer:
viktelen [127]3 years ago
6 0
Inside the triangle
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Explain why the triangles are similar then find out the distance represented by x​
elena55 [62]

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

8 0
3 years ago
Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm
just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

           = 5.5cm

Volume = π × 5.5² × 16

             =1520.5cm³

3 0
4 years ago
Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their an
densk [106]

Answer:

see the explanation

Step-by-step explanation:

we have

<em>Felicia</em>

-5(3x+2)+10x

Apply distributive property

-5(3x)-5(2)+10x

-15x-10+10x

Combine like terms

-5x-10

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant  term in Gregory's expression

so

-12-4x+ax+b

equate Gregory's expression to Felicia's expression

-12-4x+ax+b=-5x-10

so

-12+b=-10 ----->b=2

-4x+ax=-5x ------> a=-1

so

Gregory's expression is

-12-4x+2-x

therefore

The missing terms are 2 and -x

7 0
3 years ago
On a map, 1 cm represents 300 km. What does 3/5 cm represent?​
Sauron [17]

Answer:

180 km

Step-by-step explanation:

3/5 times 300 is 180

5 0
4 years ago
Read 2 more answers
At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?
alisha [4.7K]

C

Source(s):

Dude trust me

brainliest tho thanks

5 0
3 years ago
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