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Scrat [10]
3 years ago
12

I need to write a DBA on How can you prove that two lines cut by a transversal are parallel? for 03.08 geometry HELP

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

You should be able to prove it by saying that two of the angles are congruent because of the corresponding angles theorem.

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Line segment YV of rectangle YVWX measures 24 units.
oksian1 [2.3K]

Answer: YX=13.85\ units

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

WV=YX\\\\YV=XW=24

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

You can identify that:

\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24

Therefore, in order to find the length of the segment YX, you must substitute values into  tan\alpha =\frac{opposite}{adjacent} and then you must solve for YX.

You get that this is:

tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85

7 0
3 years ago
Read 2 more answers
A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil
tatiyna

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

4 0
3 years ago
Explain how you know which method you should use to solve a rational equation.
notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

\frac{1}{2}=\frac{x}{2}\Rightarrow x=1

This can be used for rational equations with polynomials too.

For example,

\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

\frac{x+2}{8}=\frac{3}{4}

\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3

\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

\frac{x+2}{8}=\frac{3}{4}

Factors of 4: 1\times2\times2

Factors of 8: 1\times2\times2\times2

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}

we get,

\Rightarrow\frac{x+2}{8}=\frac{6}{8}

On cancelling 8 on both sides we get,

\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4

Hence, these are the ways to solve a rational equation.

7 0
3 years ago
Which of the following polynomials is in standard form?
ASHA 777 [7]

Answer:

z5+z15-z3-4

hope it's correct

6 0
3 years ago
Read 2 more answers
√36x²y3 how do I simplify​
NeX [460]

Simplify √36x²y3 and you get

  ↓↓↓

√18 x y ³

4 0
3 years ago
Read 2 more answers
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