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likoan [24]
2 years ago
10

Which statement explains how the lines x + y = 2 and y = x + 4 are related?

Mathematics
1 answer:
zysi [14]2 years ago
8 0
Answer: X = -1 and Y = 3
—————————————
X + Y = 2
X = 2 - Y
————————
Y = x + 4
Y = 2 - Y + 4
2Y = 2 + 4
2Y = 6
Y = 3
————————
X + Y = 2
X + 3 = 2
X = -1
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<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
8 0
3 years ago
The sum of digits of a cetain two - digit number is 7. Reversing its digits increases the by the number nine. what is the number
const2013 [10]
The number is 34.
3 + 4 = 7
43 - 34 = 9
7 0
3 years ago
Answer all three questions
inn [45]

Answer:

3 . al of this

4 . keeping in heat

3 0
3 years ago
In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of
MA_775_DIABLO [31]

Answer:

Korea = 15

Italy = 16

France = 17

Step-by-step explanation:

Let :

Korea = x

Italy = x + 1

France = x + 2

(since the values are consecutive)

x + x + 1 + x + 2 = 48

3x + 3 = 48

3x = 48 - 3

3x = 45

x = 45 / 3

x = 15

Korea = x = 15

Italy = x + 1 = 16

France = x + 2 = 17

4 0
3 years ago
What percent of 30 is 27
shutvik [7]

Answer:

90%

Step-by-step explanation:

convert the fraction know as a ratio to get 90%

3 0
3 years ago
Read 2 more answers
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