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Kipish [7]
2 years ago
13

AB and CD are parallel. EF is the translation of AB. Is EF parallel to CD? Justify. What does this prove about the effect of tra

nslations on parallel lines?
Mathematics
2 answers:
sergij07 [2.7K]2 years ago
8 0
Yes, EF is parallel to CD. Translation is the simple slide of a shape, therefore it doesn't have an effect on parallel lines.
Molodets [167]2 years ago
7 0

Answer with explanation:

It is given that, two segments or two lines, AB and CD are parallel.

 When we translate a line by some numeric value either horizontally right or left vertically up or down,either it will move downward or upward.

So, line AB when translated either Upward or Downward ,becomes EF.

So, translated line EF will be Parallel to  AB.

Also, AB ║CD.------------(1)

As, EF ║AB.--------(2)

From (1) and (2)

EF ║ AB ║CD

⇒Two lines parallel to same line are parallel to each other.

⇒Translated line will be parallel to Original line and the line parallel to original line.

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In the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?​
o-na [289]

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

4x+7y=9              [subtract both sides by 4x]

7y=-4x+9           [divide both sides by 7]

y=-\frac{4}{7}x+\frac{9}{7}

Now, we know the slope is -4/7.

5 0
3 years ago
The width of a rectangle is 8y- 1.5 feet and the length is 1.5y+9 feet. Find the perimeter of the rectangle.
lyudmila [28]

Answer:

P=19y+15

Step-by-step explanation:

Step one:

Given data

dimension of the rectangle

Width = 8y-1.5

Length = 1.5y+9

Required

The expression to represents the Perimeter

Step two:

the perimeter of  a rectangle is expressed as

P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\

collect like terms

P=3y+16y+18-3\\\\P=19y+15

6 0
3 years ago
{2x + 3y = 5}{ y= 5 x -4}
Natasha_Volkova [10]

Solve the system using substitutions:

\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}

x has a value of 1. Use this value to find the value of y.

\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}

y has a value of 1.

x=1

y=1

8 0
1 year ago
Can you help me on this question
ikadub [295]

Answer:

Step-by-step explanation:

i dont know that

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7 0
2 years ago
What is the equation of a line parallel to y=4 that passes through point (9,8)
sweet [91]

Step-by-step explanation:

the equation is y=8

check the image above

please brainliest

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2 years ago
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