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sesenic [268]
2 years ago
13

Find the value of the variable or the measure of the missing part of each kite BD=

Mathematics
1 answer:
nataly862011 [7]2 years ago
7 0

Step-by-step explanation:

ED = EB

2x +3 = 5x -15

3+15=5x -2x

18 = 3x

18 ÷ 3 = x

x = 6

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Is the function represented by the table non-linear?
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Yes because it has a constant rate of change

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Could you Solve. 21r&lt;7<br>​
Sphinxa [80]

Yes, I can solve that inequality.

Any value of ' r ' that's less than 1/3 is a solution.

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Henry can make 8 cupcakes (the y value) with one cup of flour (the x value). How many cup cakes can he make with 7 cups of flour
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5 0
3 years ago
Anjeli writes the equation (a+b)2=c2+4(12ab) to begin a proof of the Pythagorean theorem.
gavmur [86]

Answer:

Therefore Anjeli is correct and

(a+b)^{2}=c^{2}+4(\frac{1}{2}ab)  is TRUE.

Step-by-step explanation:

Given:

Label on triangle as ΔABC right angle at C such that

AB = c  .....(Hypotenuse)

AC = b  ....(Longer leg)

BC = a  ....(Shorter leg)

To Prove:

(a+b)^{2}=c^{2}+4(\frac{1}{2}ab)

Proof:

We know, in Right angle triangle ABC by Pythagoras theorem we get,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

AB^{2}=BC^{2}+AC^{2}\\\\c^{2}=a^{2}+b^{2}    ...............( 1 )

Now the Left hand side of what Anjeli wrote is

Left hand side = (a+b)²

 Using identity (A+B)² = A²+ B² + 2AB we get

Left hand side = a²+ b² + 2ab

From ( 1 ) we have c^{2}=a^{2}+b^{2}

Substituting we get

Left hand side = c² + 2ab        ...........................( 2 )

Now,

Right hand side =c^{2}+4(\frac{1}{2}ab)

Dividing 4 by 2 we get  2, hence

Right hand side =c^{2}+2ab  .........................( 3 )

Therefore,

Left hand side = Right hand side          From  ( 2 ) and ( 3 )

(a+b)^{2}=c^{2}+4(\frac{1}{2}ab)      ..True

Therefore Anjeli is correct and

(a+b)^{2}=c^{2}+4(\frac{1}{2}ab)  is TRUE.

7 0
3 years ago
Read 2 more answers
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