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3 years ago

14

In the diagram below of triangle ABC, DE is parallel to AC. IF AD = 20, DB = 10 and AC = 33, find DE.

1 answer:

sdas [7]3 years ago

5 0

Answer:

11

Step-by-step explanation:

It's proportions my son.

x / 33 = 10 / 30

It's 10/ 30 because the whole BA is 30 in total

Then cross multiply.

30x = 330

x = 11

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I need help 6x-2y=10 x-2y=-5 solve by elimination

dem82 [27]

<h3><u>Explanation</u></h3>

Given the system of equations.

$\begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}$

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

$\begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}$

There as we can get rid of the y-term by adding both equations.

$(6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3$

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

$x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4$

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

Answer Check by substituting both x and y values in both equations.

<u>First</u><u> </u><u>Equation</u>

$6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}$

<u>Second</u><u> </u><u>Equation</u>

$x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}$

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

<h3><u>Answer</u></h3>

$\begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)$

8 0

3 years ago

Graph the line with slope <br> 2<br> 5<br><br> and <br> y<br><br> -intercept <br> −<br> 7<br><br> .

tia_tia [17]

Answer:

See attachment

Step-by-step explanation:

We want to graph the line with slope

$m = \frac{2}{5}$

and y-intercept ,

$b = - 7$

The equation of this line is

$y = \frac{2}{5}x - 7$

Starting at -7 on the y-axis, we run 5 units and rise 2 units right.

Then draw a line through the y intercept and the new point

The graph is shown in the attachment.

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4 years ago

Elton and bill share some millions of dollars between them Elton gets $6 million more than bill they shared the money in ratio 5

cestrela7 [59]

Answer:

15 million

Step-by-step explanation:

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3 years ago

The Lopez family took a taxi to there next destination. The cost of the taxi was 4 dollars plus 3 dollars for each mile traveled

andrew11 [14]

Answer: 8.3

Step-by-step explanation: 37 divided by=12.3 then 12.3 - 4

4 0

4 years ago

Read 2 more answers

Person A can complete a task in 1.5 hours. Person B does the same task in 1 hour 20 minutes. Write the ratio of these times in t

lesantik [10]

Answer:

9/8

Step-by-step explanation:

time A / time B = (3/2)/(4/3) = (3/2)(3/4) = (3·3)/(4·2)

time A / time B = 9/8

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3 years ago