3 years ago

Geometry proofs. Prove Angle B = Angle C

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer: It is vertical

Step-by-step explanation:

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A wise man once said” 200 reduced by twice my Age is 42.” What is his age ?

kati45 [8]

200 - (2x) = 42

200 - 42 = 2x

158/2 = 2x/2

x = 79

he is 79 years old

hope this helps

a wise 'old' man

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4 years ago

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Determine whether the equation 5(1+2m)=1/2(8+20m) has one solution, no solution, or infinitely many solutions.

hichkok12 [17]

1. Use the distributive property:

$5\cdot (1+2m)=5\cdot 1+5\cdot 2m=5+10m,$

$\dfrac{1}{2}\cdot (8+20m)=\dfrac{1}{2}\cdot 8+\dfrac{1}{2}\cdot 20m=4+10m.$

Then

$5+10m=4+10m.$

2. Separate terms with m in left side and without m in right side:

$10m-10m=4-5,\\ \\0=-1.$

This expression is false for all values of x, then the equation doesn't have solutions.

Answer: no solution

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3 years ago

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The Identity function i behaves just like the number 1. That is (F o i)=f and (i o g)= g

andrezito [222]

I'll denote the identity function by $\mathrm{Id}$ . Then for any functions $f$ with inverse $f^{-1}$ ,

$\begin{cases}f\circ\mathrm{Id}=f\\\mathrm{Id}\circ f=f\\f\circ f^{-1}=\mathrm{Id}\end{cases}$

One important fact is that composition is associative, meaning for functions $f,g,h$ , we have

$(f\circ g)\circ h=f\circ(g\circ h)$

So given

$h=f\circ g$

we can compose the functions on either side with $g^{-1}$ :

$h\circ g^{-1}=(f\circ g)\circ g^{-1}=f\circ(g\circ g^{-1})$

then apply the rules listed above:

$h\circ g^{-1}=f\circ\mathrm{Id}=f$

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3 years ago

The graph of F(x) shown below resembles the graph of G(x)- x, but it has been changed somewhat. Which of the following could be

Fudgin [204]

We can solve this question in the following way. Looking at the graph, we see that F(x) is shifted from one unit to the right, and it is represented by | x - 1|. Then, we can multiply this result by 4 to have the final graph, since the graph is not inverted.

Therefore, the answer to this question is F(x) = 4 * | x - 1 |.

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1 year ago

The length of a rectanglen is 2/5 meter. Its width is 1/4 of its length. What is the perimeter of the rectangle

asambeis [7]

Please see the pic, I'd solved in it.

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3 years ago