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professor190 [17]
3 years ago
5

Find the measure of

Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

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Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.
vichka [17]

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

6 0
3 years ago
3 is 12% of what number
AleksAgata [21]


3/12% = 25

<em>Therefore, 3 is 12% of 25.</em>

3 0
3 years ago
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What is X&gt;195 on a number line
zlopas [31]

Step-by-step explanation:

anything greater than 195.

8 0
3 years ago
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What % of 300 is 30​
algol13

Answer:10%

Step-by-step explanation:

5 0
3 years ago
The ages of three siblings Jason John and Jackson totals 21 years. Jason is one year older than John. Jackson is three times as
Ymorist [56]

Answer:Jason is 5 years old.

John is 4 years old.

Jackson is 12 years old.

Step-by-step explanation:

Let x represent the age of Jason.

Let y represent the age of John.

Let z represent the age of Jackson.

The ages of three siblings Jason John and Jackson totals 21 years. It means that

x + y + z = 21 - - - - - - - - - - -1

Jason is one year older than John. It means that

x = y + 1

Jackson is three times as old as John. It means that

z = 3y

Substituting x = y + 1 and z = 3y into equation 1, it becomes

y + 1 + y + 3y = 21

5y = 21 - 1 = 20

y = 20/5 = 4

x = y + 1 = 4 + 1

x = 5

z = 3y = 3 × 4

z = 12

6 0
3 years ago
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