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irga5000 [103]
4 years ago
11

The point K lies on the segment JL.

Mathematics
1 answer:
vlabodo [156]4 years ago
6 0

Answer:

  • ( -9, 5)

Step-by-step explanation:

We can observe that x coordinate increases on line segment JL from J and y coordinate decreases.

<u>The difference in x:</u>

  • -18 - 3 = -21

<u>The difference in y:</u>

  • 17 - (-11) = 28

<u>Point K is at 3/7 distance from J, so it's coordinates will be:</u>

  • -18 -(-21*3/7) = -18 + 9 = -9
  • 17 - (28*3/7) = 12- 7 = 5

So K = ( -9, 5)

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In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.
inessss [21]

Answer:

No

Step-by-step explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

7 0
3 years ago
What is the solution to the following equation? (4 points)
Kipish [7]
A
6x-14+18=10
6x+4=10
6x=6
X=1
5 0
3 years ago
Read 2 more answers
The temperature at noon on a winter day was 8°C. At midnight, the temperature had dropped 15°C. What was the temperature at midn
klio [65]
All you have to look at is the word "dropped" and you know it's a subtraction problem. In this case, it would be 8 - 15.

8 - 15 = -7

It would be -7<span>°C at midnight. I hoped this helped! :)</span>
6 0
3 years ago
Find the greatest common factor of 210, 84, and 56
mr Goodwill [35]
To get the Greates Common Factor (GCF) of 84 and 210 we need to factor each value first and then we choose all the copies of factors and multiply them: 

<span><span>84:   223 7</span><span>210:   2 357</span><span>GCF:   2 3 7</span></span>

<span>The Greates Common Factor (GCF) is:   2 x 3 x 7 = 42</span>

3 0
3 years ago
Read 2 more answers
Determine the equation of each line with the following properties:
iris [78.8K]

Answer:

a) y =2/3 x + 7.

b) x = -1

c) y = -4/5 x - 1/5

d) y = -3/2 x + 5/2.

Step-by-step explanation:

a) Intercept form y = mx + b where m = 2/3 and  b = 7

b) y can take any value but x is always -1.

c) Slope m = (-1-3)/ (1 - -4)

= -4/5

Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:

y - y1 = m(x - x1)

y - -1 = -4/5(x - 1)

y + 1 = -4/5x + 4/5

y = -4/5 x - 1/5

d)  The slope m of the line perpendicular to this line is:

-1 / 2/3

m = -3/2.

When x = -1 , y = 4 so using the slope intercept form of a line

y = mx + b

4 = -3/2 * -1 + b  where b = the y-intercept.

4 = 3/2 + b

b = 4 - 3/2 = 5/2.

The equation is  y = -3/2 x + 5/2.

3 0
3 years ago
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