Mathematics: What do you notice about the teams’ scores?

The answer is Segment Step-by-step explanation:Given that DE is parallel to segment BC, then according to the theorem, A line parallel to one side of a triangle divides the other two proportionately .Also from the figure, and Then, Substituting the values and solving it, we get,Thus, Segment Also, given that EF is parallel to AB, then according to the theorem, A line parallel to one side of a triangle divides the other two proportionately .Then, Substituting the values and solving it, we get,Thus,...

What do you notice about the teams’ scores?

Ответ:

noahwhitfield5331

23.04.2022

Mathematics

The answer is Segment BD=15

Step-by-step explanation:

Given that DE is parallel to segment BC, then according to the theorem, "A line parallel to one side of a triangle divides the other two proportionately".

Also from the figure, AD =18, AE=24, EC=20 and FC=30

Then, $\frac{A D}{D B}=\frac{A E}{E C}$

Substituting the values and solving it, we get,

$\begin{aligned}\frac{18}{D B} &=\frac{24}{20} \\18 \times 20 &=D B \times 24 \\\frac{360}{24} &=D B \\15 &=D B\end{aligned}$

Thus, Segment BD=15

Also, given that EF is parallel to AB, then according to the theorem, "A line parallel to one side of a triangle divides the other two proportionately".

Then, $\frac{A E}{E C}=\frac{B F}{F C}$

Substituting the values and solving it, we get,

$\begin{aligned}\frac{24}{20} &=\frac{B F}{30} \\24 \times 30 &=B F \times 20 \\\frac{720}{20} &=B F \\36 &=B F\end{aligned}$

Thus, Segment BF=36

Hence, the statement BD=15 is true.

0,0(0 оценок)

What do you notice about the teams’ scores?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question