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Scorpion4ik [409]
3 years ago
15

Two angles form a linear pair. The measure of one angle is 13 the measure of the other angle. Find the measure of each angle.

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Your question is not complete so there are two answers:

<h3>1. </h3>

The measure of one angle is 13 <u>times</u> the measure of the other angle.

Answer:

<h3>         One angle is 167.14° and the other is 12.86° </h3>

Step-by-step explanation:

Two angles of a linear pair create a straight angle therefore they add to 180°

x°     - the other angle

(13x)°  - one angle

x + 13x = 180

   14x = 180

  ÷14      ÷14

   x ≈ 12.86

13x = 13•12.86 = 167.14

Checking:  12.96+167.14 = 180

<h3 /><h3>2. </h3>

The measure of one angle is 13 <u>more than</u> the measure of the other angle.

Answer:

<h3>         One angle is 96.5° and the other is 83.5° </h3>

Step-by-step explanation:

Two angles of a linear pair create a straight angle therefore they add to 180°

x°     - the other angle

(x+13)°  - one angle

x + x + 13 = 180

       -13        -13

    2x  =  167

    ÷14      ÷14

     x ≈ 83.5

x+13 = 83.5 + 13 = 96.5

Checking:  83.5+96.5 = 180

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The sum of three numbers is 24. the largest number is three times the smallest, and the middle number is four less than the larg
tensa zangetsu [6.8K]
Small number =X
mid number = 3X-4
large number = 3x

X+3X-4+3X=24
7X-4=24
7X-4+4=24+4
7X=28
X=28/7
X=4

S=4
M=3(4) -4=12-4=8
L=3(4)=12

The numbers are 4,8 and 12
6 0
3 years ago
Find the values of x and y for which the lines are parallel.
bearhunter [10]
The answer:  " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .

46 + 1(x - 3) + 1(y-3) = 180 .

46 + 1x - 3 + 1y - 3 = 180 .

46 - 3 - 3 + 1x + 1y = 180 .

40 + x + y = 180 ;

Subtract "40" from EACH SIDE of the equation:
______________________________________
 40 + x + y - 40 = 180 - 40 ;

 to get:

x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;


↔  x - 3 = 65 ;

Add "3" to EACH SIDE of the equation;

    x - 3 + 3 = 65 + 3 ;

to get:
 
           x = 68 .
______________________________
Now:

Since:  "x + y = 140" ;

Let us plug in our known value, "68" ;  for "x" ;

to solve for "y" ;
__________________________________
   x + y = 140 ;
 
  68 + y = 140 ;

↔ y + 68 = 140 ;

Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
   y + 68 - 68 = 140 = 68 ;

                  y = 72 .
______________________________________________
So,  solve for "x" and "y".

x = 68, y = 72 .
_______________________________________________
5 0
3 years ago
Whats the average cost to put wood floors in a 12 ft x 16 ft room?
Bas_tet [7]
Area in ft sq. × cost per ft sq.
8 0
4 years ago
PLEASE HELP ILL DO ANYTHING
yuradex [85]

Answer:

B) 2 1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What are the x- and y-intercepts of the graph of y = x2 + 3x − 10? (1 point)
Lynna [10]

Answer:

x-intercepts: (2, 0) and (−5, 0)  

y-intercept: (0, −10)

Step-by-step explanation:

y = x^2 + 3x − 10

y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))

x-intercept when y = 0 so

x^2 + 3x − 10 = 0

(x +5)(x - 2) = 0

x + 5 = 0; x = -5

x - 2 = 0; x = 2

So x-intercepts: (-5, 0) and (2,0)

7 0
3 years ago
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