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MArishka [77]
3 years ago
11

Which statement listed below illustrates the reflexive property of congruence

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0
It’s B I think so if it’s not please don’t be mad
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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
olga2289 [7]

Step 1

<u>Find the slope of the given line</u>

Let

A(-3,2)\ B(2,-1)

slope mAB is equal to

mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}

Step 2

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}

Step 3

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5

Multiply by 3 both sides

3y=5x-15

5x-3y=15

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation 5x-3y=15

4 0
3 years ago
Read 2 more answers
Solve. 8 – 3x – x = 12 <br> x =?
poizon [28]
You have to isolate x. First you start off by adding the like terms which is -3x and -x. By adding them you get -4x.

8 - 4x = 12

Then you subtract 8 on both sides since it is positive to isolate x.
-4x = 4

Then you divide -4 by both sides and get x=4/-4

4/-4 is simplified to -1 so the answer is x= -1
3 0
3 years ago
Graph the following transformation
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6 0
3 years ago
Point K on the number line shows Kelvin's score after the first round of a quiz: In round 2, he lost 9 points. Which expression
weqwewe [10]

Complete question :

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3

Step-by-step explanation:

Given the following :

Width of number line = - 10 to + 10

Point K on the number line = +3 ( kelvin's score after the first round of quiz).

If Kelvin losses 9 points in round 2  = - 9

Hence at the end of round 2, He'll have a total of :

Point at the end of round 1 + point lost in round 2

3 + (-9) = - 6

6 0
3 years ago
What is the square root of 18 rounded to the nearest tenth
ratelena [41]

Answer: 4.2

Step-by-step explanation:

when you square root 18 you get 4.242. When rounded to the nearest tenth you get 4.2 since 4 is not nor is 5 and exceeds it.

8 0
3 years ago
Read 2 more answers
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