All categories

2 years ago

Geometry If FG || BC , which equation is necessarily true?

Mathematics

2 answers:

Naddika [18.5K]2 years ago

8 0

Answer:

hi! id say your answer should be B. DF/FB=EG/GC

Step-by-step explanation:

Your question was if FB is parallel to BC, what must be true? A. and C. are not necessarily connected to FB and BC and do not prove that those two lines are parallel. while B. DF/FB = EG/GC does prove that they are parallel because the lines mentioned in the question, FG and BC, are attatched by the lines that are provided by answer B. I hope this helps!

hammer [34]2 years ago

6 0

B is the answer because If you look at the other side essentials that

You might be interested in

Use abc to find the value of cos B

krok68 [10]

Cos of b equals c over a

7 0

3 years ago

F(x)=24x+7 What is the domain of f

yarga [219]

The domain of f(x) = 24x + 7 is all real numbers except where the expression is undefined. in this case, there is no real number that makes the expression undefined.

hope this helps, God bless!

7 0

3 years ago

What makes a mathematical statement an equation.

kirza4 [7]

Answer:

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

4 0

2 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

The distance between -7 and 24

bezimeni [28]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers