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Hitman42 [59]
3 years ago
5

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem. Which mat

hematical statement is missing? ∠B ≅ ∠Y ∠B ≅ ∠Z

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Solution:

It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS)  Similarity theorem.

So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.

So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,

⇒\frac{AB}{XY}=\frac{BC}{ZY}=\frac{AC}{XZ}

wel3 years ago
8 0

Answer:

I think it i s the third option.

Step-by-step explanation:

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The table shows the values of a function f(x). What is the average rate of change of f(x) from 1 to 4?
Sav [38]

Answer:

-80

Step-by-step explanation:

The average rate of change is

a.r.c = f(4) - f(1)

        --------------

             4-1

f(4) = 244 and f(1) = 484

a.r.c = 244  - 484

        --------------

             3

        = -240/3

      =-80

6 0
3 years ago
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ICE Princess25 [194]

Answer:

Part A:   -3x^8 + 2x^5 + 4x^3

Part B:   8

Part C:   3

Part D:   -3x^8

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7 0
3 years ago
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0.5x+7/3 = 21/4 cross multiply
TiliK225 [7]

Solving the expression  \frac{0.5x+7}{3}=\frac{21}{4} we get: x=\frac{35}{2}\,\,or\,\,x=17.5

Step-by-step explanation:

Solving the expression: \frac{0.5x+7}{3}=\frac{21}{4}

Solving by cross multiplying:

\frac{0.5x+7}{3}=\frac{21}{4}\\(0.5x+7)*4=21*3\\Simplifying:\\2x+28=63\\Adding\,\,-28\,\,on\,\,both\,\,sides:\\2x+28-28=63-28\\2x=35\\Divide\,\,both\,\,sides\,\,by\,\,2\\\frac{2x}{2}=\frac{35}{2}\\x=\frac{35}{2}\,\,or\,\,x=17.5

So, solving the expression  \frac{0.5x+7}{3}=\frac{21}{4} we get: x=\frac{35}{2}\,\,or\,\,x=17.5

Keywords: Solving Fractions

Learn more about Solving fractions at:

  • brainly.com/question/2456302
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#learnwithBrainly

3 0
3 years ago
The function h(x)=1/x^2+1 is the result of the composition f(g(x)). If g(x) = x^2+1,what is f(x)? A f(x)=1/square root x B f(x)=
HACTEHA [7]

Answer:

Option B is correct

Step-by-step explanation:

Given: h(x)=\frac{1}{x^2+1} is the result of the composition f(g(x)).

Also, g(x)=x^2+1

To find: f(x)

Solution:

Take f(x)=\frac{1}{x}

Now check whether h(x) is equal to f(g(x)) or not.

First find f(g(x))

f(g(x))=f(x^2+1)=\frac{1}{x^2+1}

Also, h(x)=\frac{1}{x^2+1}

Therefore,

h(x)=f(g(x))

So,

Option B is correct

3 0
3 years ago
Kate took all the change she had and went shopping for a used skateboard.she had 185 quarters 370 dimes 216 nickels 135 pennies
maks197457 [2]

Answer:

185+370+216+135=906

8 0
3 years ago
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