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TEA [102]
3 years ago
6

In two supplemantary angles, the measure of one angles is 6 more than the twice the measure of the other.the measure of these tw

o angles are
Mathematics
1 answer:
ehidna [41]3 years ago
8 0
Answer:
________________________________________________________
The measurements of the 2 (TWO) supplementary angles are:
________________________________________________________
           58° and 122° .
________________________________________________________
Explanation:
_________________________________________________
Two supplementary angles:
_________________________________________________
Angle 1:  "x:
_________________________________________________
Angle 2:  "(6 + 2x)"
_________________________________________________
        All supplementary angles, by definition, add up to 180 degrees,  so given that the 2 (two) angles are supplementary:

(x) + (6 + 2x) = 180 ;  Find "x"  and "(6 + 2x)" .
__________________________________________________
   x + 6 + 2x = 180 ;

      3x + 6 = 180 ;

   Subtract "6" from each side of the equation ;
___________________________________________________
      3x + 6 − 6  = 180 − 6 ;

          3x = 174 ;
___________________________________________________
Divide each side of the equation by "3"  ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;

          3x / 3 = 172 / 3 ;

               x = 58 ;
________________________________________________
So: 
________________________________________________
Angle 1:  "x" :  x = 58 .
________________________________________________
Angle 2:  "(6 + 2x)" =  " 6 + 2(58) = 122 .
________________________________________________
122 + 58 =? 180 ?  Yes!
________________________________________________
So, the measurements of the 2 (TWO) supplementary angles are:
           58° and 122° .
________________________________________________

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The value of y varies directly with x, and y=3 when x=9 find y when x = 21
tester [92]

Answer: y = 7

Step-by-step explanation:

Step 1) plug in 3 for y and 9 for x in the direct variation formula, which is y = kx

3 = k(9)

Step 2) Solve for k

3 = k(9) (Divide by 9 on both sides)

3/9 = k (Now simplify 3/9)

1/3 = k. So k = 1/3

*just FYI: “k” is the constant of variation.

Step 3) use the equation y = kx and plug in 1/3 for k

y = 1/3x

Step 4) using the equation y = 1/3x, plug in 21 for x.

y = 1/3(21) (1/3*21 is the same as 21/3)

y = 21/3 (21/3 = 7)

y = 7. So that’s you’re answer! When x=21, y=7 because 7 is 1/3 of 21!

Hope this helps! My best wishes to you as you go through school!

3 0
3 years ago
C
netineya [11]

Answer:

100+90+7

200+20

Step-by-step explanation:

5 0
2 years ago
Please help me with this. Thanks!
wel
The answer is 51.......
4 0
2 years ago
10. <br>V=720 cm<br>L=?<br>P=15 cm<br>T=8 cm<br>A. 6 cm<br>B. 8 cm<br>C.10 cm<br>D. 12 cm​
grin007 [14]

Answer:

6 cm

Step-by-step explanation:

Given the information :

V=720 cm

L=?

P=15 cm

T=8 cm

The volume = L * P * T

V = L * P * T

720 = L * 15 * 8

720 = L * 120

L = 720 / 120

L = 6 cm

5 0
3 years ago
Which value from the set (1/3, 3, 5, 15) will make the equation n divided by 3/5 = 5 true?
sweet [91]
The answer is 3!!

This is because if you divide 3 by 3/5, you get 5.

Hope this helps!!
7 0
3 years ago
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