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1 year ago

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Is Figure ABCD congruent to Figure PQRS? Use the drop-down menus to explain your answer. у 6 В. R 4 S a Q N A I Р 8 -6 -4 -2 O -

2 2 4 6 8 KIN м. -4 The figures Choose... < congruent because Figure ABCD Choose... map onto Figure KLMN by a sequence of transformations. E *

1 answer:

natali 33 [55]1 year ago

7 0

Answer:

are not and does not

Step-by-step explanation:

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

slega [8]

Answers:

Line A is parallel to line D.

Line A is perpendicular to line C.

Line C is perpendicular to line D.

=====================================================

Explanation:

Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)

$(x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2) = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\$

The slope of line A is 7

-------------

Now let's find the slope of line B.

$(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\$

-------------

Now onto line C.

$(x_1,y_1) = (7,1) \text{ and } (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\$

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Lastly we have line D.

$(x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2) = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\$

------------------------------

Here's a summary of the slopes we found

$\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}$

Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.

Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.

Lines C and D are perpendicular for the same reasoning as the previous paragraph.

Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.

You can use a graphing tool like Desmos or GeoGebra to verify these answers.

6 0

9 months ago

56.27 in expanded form

Lana71 [14]

Answer:

Step-by-step explanation:

56.27 =

50

+ 6

+ 0.2

+ 0.07

Expanded Factors Form:

56.27 =

5 × 10

+ 6 × 1

+ 2 × 0.1

+ 7 × 0.01

Expanded Exponential Form:

56.27 =

5 × 101

+ 6 × 100

+ 2 × 10-1

+ 7 × 10-2

Word Form:

56.27 =

fifty-six and twenty-seven hundredths

5 0

2 years ago

Tell me the coordinates to <br> Y= 4/5x - 7.

RSB [31]

Answer:

the pic shows the coordinates

7 0

2 years ago

Read 2 more answers

a mechanic buys $14.56 worth of parts from a supplier. if he pays for the parts with a $20 bill, how much change will he receive

Bond [772]

He will receive $5.04

3 0

3 years ago

Read 2 more answers

olchik [2.2K]

C.35cm
Should be the right answer

5 0

2 years ago