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musickatia [10]
3 years ago
11

M is the midpoint of JK. Find the coordinates of K. J(0, 11), M(-3,2)

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Let's assume

point K as (x,y)

M is the midpoint of JK

so, other point as J(0, 11)

M(-3,2)

(-3,2)=(\frac{0+x}{2},\frac{11+y}{2})

now, we can compare both sides

Calculation of x-coordinate:

we get

-3=\frac{0+x}{2}

x=-6

Calculation of y-coordinate:

we get

2=\frac{11+y}{2}

11+y=4

y=-7

so, we will get point K

K=(-6,-7)............Answer

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What is the measure of <7?
mash [69]

Answer:

120

Step-by-step explanation:

<2 = 120 degrees

<3 = <2  vertical angles

Assuming b is parallel to c

<3 = <6  alternate interior angles

<6 = <7 vertical angles

<2 = <7 =120

5 0
3 years ago
Find the vertex of an angle of an isosceles triangle if one base angle is 8 less than half the vertex?
skad [1K]
Vertex angle = x
1 base angle = 1/2x - 8

180-x = (1/2x-8)x2
180-x = x-16
196-x = x
196 = 2x
x=98

If you want explanation please ask me .
8 0
3 years ago
Two cyclists start at the same time from opposite ends of a course that is 45 miles long. One cyclist is riding at 14 mph and th
Oksana_A [137]

If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.

Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.

We know that speed is the distance covered by an object in a particular period of time.

Speed=distance/time.

It is expressed as kilometers per hour or miles per hour, etc.

If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.

Distance=45 miles.

Time =distance/speed

=45/30

=1.5

Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.

Learn more about speed at brainly.com/question/4931057

#SPJ4

8 0
1 year ago
How many solutions does this equation have?
Greeley [361]

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

4 0
2 years ago
If I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work then how many different outfits ca
34kurt

105 different outfits can wear on an individual day

<em><u>Solution:</u></em>

I have 7 button down shirts, 5 pairs of pants and 3 pairs of shoes that I can wear to work

To find: Number of different outfits can I wear on an individual day

First he has to decide on a pair of pants and he has 5 different choices

For each of those choices he has a choice of 7 different button down shirts, so that gives him 5 x 7 = 35 different pant/shirt combinations

For each of those 35 different pant/shirt combinations, he has 3 pairs of shoes he could select, so altogether he has 35 x 3 = 105 different outfits

In short we can say,

different outfits = 7 x 5 x 3 = 105

So there 105 different outfits can wear on an individual day

4 0
3 years ago
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