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Lina20 [59]
3 years ago
13

In the figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=60°. What is m∠6?

Mathematics
1 answer:
PolarNik [594]3 years ago
8 0
<span>mâ 6 = 60° Since both AB and CD are parallel to each other, equivalent angles made by the intersection of the third line are equal to each other. â 2 is the upper right hand angle of the intersection between AB and the third line and â 6 is also the upper right hand angle of the intersection between CD and third line.</span>
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Rewrite 5 − 6 using the additive inverse and display the new expression on a number line.
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Additive inverses are numbers that when added to another number equal 0.  The additive inverse of 5 is -5 and the additive inverse of 6 is -6.  Therefore, the new expression is -5-(-6) or -5+6.  
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3 years ago
The sum of three consecutive integers is 18. Write an equation for this situation and then find the three integers.
Aleonysh [2.5K]

3x=18 is the equation

the 3 integers are 6 because 6*3=18

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Read 2 more answers
Help on 9 &amp; 10 please!
Mandarinka [93]

Step-by-step explanation:

9. x and z are equal. y+z=90

   148-x=180 x+148 are supplementary

   -148    -148 Subtract 148 from both sides to isolate x

         x=32 degrees

         z=32 degrees b/c x and z are equal

 y+z=90 y and z are complementary

 y+(32)=90 Substitute 32 in for z

   -32     -32

 y         =58 degrees

10. (4x-25)=(2x+7) B/c of the bisection, the two angles are equal.

     4x-25  =2x+7 Remove parenthesis

      -2x       -2x Subtract 2x from both sides

     2x-25  =    +7

          +25       +25 Add 25 to both sides to isolate x

    2x         =     32

     /2                 /2 Divide both sides by 2 to isolate x

     x            =     16

 (4(16)-25)+(2(16)+7)=78 degrees Substitute 16 into the equation, this time adding the values instead of setting them equal to get the angle measure requested.

11. (6x-47)+(x+4)=90 Angles that are complementary add up to 90 degrees

    7x-43            =90 Add like terms

         +43             +43 Add 43 to both sides to isolate x

   7x                    =133

   /7                       /7 Divide both sides by 7 to isolate x

     x                     =19

((19)+4)=23 degrees Substitute x into the angle measure requested

12. 180=2x-9+x Use the words to help you determine what each value is.

     180=3x-9 Add like terms

     +9        +9 Add 9 to both sides to isolate x

     189=3x

     /3     /3 Divide both sides by 3 to isolate x

     63=x

 2(63)-9=177 degrees Substitute 63 into x to find the requested angle measure.

3 0
3 years ago
Find the midpoint of the segment connecting (4,7) to (-2,3).
KonstantinChe [14]
If you put 2 points on a graph paper and connect them, you can find the midpoint pretty easily
8 0
3 years ago
Maitri and Aabhas do a work in 12 hours.
tamaranim1 [39]

Answer:

See below ~

Step-by-step explanation:

<u>Given</u>

  • Maitri and Aabhas do a work in 12 hours
  • Aabhas and Kavya do the work in 15 hours
  • Kavya and Maitri do the work in 20 hours

<u>Solving</u>

  • Take Maitri, Aabhas, and Kavya to be x, y, z respectively
  • <u>x + y = 12</u> (1)
  • <u>y + z = 15</u> (2)
  • <u>x + z = 20</u> (3)

<u>Take Equation 1 and rewrite it so that it is equal to x.</u>

  • x = 12 - y

<u>Take Equation 2 and rewrite it so that it is equal to z.</u>

  • z = 15 - y

<u>Now, substitute these values in Equation 3.</u>

  • x + z = 20
  • 12 - y + 15 - y = 20
  • -2y + 27 = 20
  • 2y = 7
  • y = 7/2 = <u>3.5 hours [Aabhas]</u>

<u></u>

<u>Substitute the value of y in Equation 1.</u>

  • x + 3.5 = 12
  • x = <u>8.5 hours [Maitri]</u>

<u>Substitute the value of y in Equation 2.</u>

  • 3.5 + z = 15
  • z = <u>11.5 hours [Kavya]</u>

<u></u>

<u>Add the values of x, y, and z together.</u>

  • x + y + z
  • 8.5 + 3.5 + 11.5
  • 12 + 11.5
  • <u>23.5 hours [together]</u>

8 0
2 years ago
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