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Darya [45]
3 years ago
9

Solve the equation |x + 6|= |x– 12|. Graph the solutions, if possible.

Mathematics
2 answers:
Aleksandr [31]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

RoseWind [281]3 years ago
3 0

Answer:

Step-by-step explanation:

|x+6|=|x-12|

x+6=±(x-12)

when x+6=x-12

6=-12

which is impossible hence rejected.

x+6=-(x-12)

x+6=-x+12

x+x=12-6

2x=6

x=6/2=3

so x=3

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Find the values of X and Y that makes these triangles congruent by the HL theorem
muminat

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

y + 4 = 3y

y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

8 0
3 years ago
Sole for |p+8| over 2 =5
Lubov Fominskaja [6]

Answer:

p =2                     p=-18

Step-by-step explanation:

|p+8|

-------------- = 5

2

Multiply each side by 2

|p+8|

-------------*2 = 5*2

2

|p+8|  =10

There is a positive and a negative solution

p+8=10         p+8=-10

Subtract 8 from each side

p+8-8=10-8         p+8-8=-10-8

p =2                     p=-18



7 0
3 years ago
The minute hand of a clock is 7 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the
FromTheMoon [43]

The movement of the minute hand is circular.

Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec

The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>

D=3.663≈3.66 inches

Good luck!!!

6 0
3 years ago
A quadrilateral has its interior angles X, 47, 95, 82. Find<br>the value of x​
Oksana_A [137]

Answer:

x=136

Step-by-step explanation:

To find the measure of the sum of the interior angles use the formula (n-2) times 180 where n is the number of sides.

A quadrilateral has 4 sides. (4-2) times 180. 2 times 180=360

The sum of the interior angles of a quadrilateral is 360.

x+47+95+82=360

x+ 224 = 360

x= 136

5 0
3 years ago
11. Which is a set of similar fractions?
Juliette [100K]

Answer:

D. 2/10, 3/10, 4/10

Step-by-step explanation:

D. is the correct answer because the fractions have a common denominator of 10, whereas the other answer choices do no.

D. has similar fractions

Good luck to you!

7 0
3 years ago
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