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DedPeter [7]
2 years ago
13

What value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8

Mathematics
1 answer:
deff fn [24]2 years ago
4 0

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

<h3>What is SSS similarity theorem?</h3>

The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.

SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.

In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.

Thus, by the SSS similarity theorem,

\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

Learn more about the SSS similarity theorem here;

brainly.com/question/21247688

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Anna is reading a 300-page book. She can read a page in two minutes. If she has finished reading 75 percent of the pages, how ma
Daniel [21]

Answer:

150 minutes

Step-by-step explanation:

If Anna read 75% of her 300-page book, then she has already read:

300 × 75%

= 300×0.75

= 225

225 pages.

If Anna has already read 225 pages, then she has:

300 - 225 = 75

75 pages left still to read.

If Anna reads 2 minutes per page, then she has

75 × 2 = 150 minutes.

She has 150 minutes of reading left to finish her book.

By the way, it's weird to say you have 150 minutes of something to do. In real life 150 minutes = 2 1/2 hours. jfyi. Have a great day!

3 0
1 year ago
Which statement is true about the equations –3x + 4y = 12 and x – y = 1?
Firlakuza [10]
-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0
3 years ago
Given g(x)=3x+6 on what interval is the function negative
iris [78.8K]

Step-by-step explanation:

A number that is negative is less than 0, so

3x + 6 < 0

3x <  - 6

x <  - 2

So this function is negative, when x is less than -2

4 0
2 years ago
Read 2 more answers
the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2
Ksivusya [100]

Answer:

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1.

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is \frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1.

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,  

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by b^{2} = a^{2}(e^{2}  - 1) = 4[(\frac{5}{2} )^{2} -1] = 21 {Since e = \frac{5}{2} given}

Therefore, the equation of the given hyperbola will be  

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1. (Answer)

6 0
3 years ago
I need help with this ( please help me )
Gnom [1K]

Answer:

<7=120

<8=60

Step-by-step explanation:

<2 and <7 are alternate exterior angles. <7 and <8 are complementary sor just do 180-120 and you will get 60

3 0
3 years ago
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