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stepladder [879]

3 years ago

9

How do you prove theorems behind two parallel lines cut by a transversal?

1 answer:

LenaWriter [7]3 years ago

5 0

The way to do it can be explained like this:
Say AB and CD are the two parallel lines cut by a transversal at E and F respectively.
Then the pairs of alternate interior angles are:
Angle(AEF) and Angle(DFE)
Angle(CFE) and Angle(BEF)
Now lets prove if this is true:
<span>Angle(CFE) +Angle(DFE) = 180
(linear pair)
Also
Angle(CFE) +Angle(AEF) = 180
(Corresponding angles)
</span><span>Equate the above results:
Angle(CFE) +Angle(DFE) = Angle(CFE) +Angle(AEF)
</span><span>Angle(DFE) = Angle(AEF)
</span>Happens the same with
<span>Angle(CFE) = Angle(BEF)
</span>Hope this is very useful for you

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When a number decreased by 10% the result in 63. What is the number?

Ugo [173]

The number is 69.3 because percent means 0.01, so 10 x 0.01 = 1.1
so 1.1 x 63 = 69.3. you can also do 63 x 10% = 69.3.

4 0

3 years ago

Help me please idk how to do this

Tems11 [23]

Answer: your answer would be B

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Step-by-step explanation:

3 0

3 years ago

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The function f(x) is shown on the graph.

Sever21 [200]

The value of f(0) is 12.

<h3>What is graph?</h3>

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

By considering the graph we have to find f(0) which means we have to find that point where x- coordinate is zero.

Also, which shows that 12 the function f(x)

So, taking the point is (0,12) we can get f(0)= 12.

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brainly.com/question/16608196

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7 0

2 years ago

What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.

skad [1K]

Answer:

option A and B

$x=\frac{-7+\sqrt{17}} {4}$

and

$x=\frac{-7-\sqrt{17}} {4}$

Step-by-step explanation:

we have

$2x^2+7x+4=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^2+7x+4=0$

so

$a=2\\b=7\\c=4$

substitute in the formula

$x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}$

$x=\frac{-7\pm\sqrt{17}} {4}$

so

$x=\frac{-7+\sqrt{17}} {4}$

and

$x=\frac{-7-\sqrt{17}} {4}$

7 0

2 years ago

(-6, 1) and 3, 5)<br> M= rise/run=(y2-y1)/(x2-x1)

Sergeeva-Olga [200]

Answer:

4/9

Step-by-step explanation:

The slope of these points would be: (5-1)/(3+6) = 4/9

7 0

2 years ago