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Shkiper50 [21]
3 years ago
7

Graph the linear equation 3x-4y=-18

Mathematics
1 answer:
denpristay [2]3 years ago
3 0
Hope you enjoy.......mm

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Please answerrrrr<br><br> Thank you!!!!!!!!!!!!
dlinn [17]

The correct answers are:

_________________

 " (x − 13) ° = 53 ° " ;

_________________

 " x = 66 " ;

_________________

 " m∠2 = 55° " ;

_________________

 " m∠1 = 55° " .

__________________

<u>Step-by-step explanation</u>:

Note:  The following "given values/answers" within the attached image:

Specifically:

 (x − 13)° = 72° ; and;

  x = 85° ;

_________________

   are: "incorrect"—and are "arbitrarily assigned values"

_________________

The values and expressions given in the attached image, however, are correct/do make sense; and we can use such data to solve the problem.

_________________

Let's start by finding the measure of ∠2 ;  that is: " m∠2 " :

To find m∠2:

_________________

Note that:  both: "∠2 " ; and the angle that measures "175" with the attached image:

            → both form a <u>straight line</u>—that is;

              → they are "supplementary angles" ;

              → which means they add up to "180° " ;

_________________

So:  To solve for:  "m∠2" :

_________________

→  m∠2 = 180 − (125) = 55° ,

_________________

Now; to solve for:  " m∠1 " :

_________________

Note that ∠1 and ∠2 are vertical angles: which means that they have equal measurements;  

{since: vertical angles are congruent; which means that vertical angles are equal.} ;

_________________

→  As such, m∠1 = m∠2 = 55 °.

_________________

Now, take either ∠1 or ∠2 ; (each has the same "measurement"—"55° " ;

 And combine with angle with the given measurement of 72° ;

 And combine with the angle with the "given measurement of [the expression: ["x − 13"]° ;

_________________

All three of these angles form a <u>straight line</u>—that is;

              → they are "supplementary angles" ;

              → which means they add up to "180° " ;

So, 55° + 72° + (x − 13)° = 180° ;

 Let us solve for "x" ; and for "(x − 13)" ;

_________________

55 + 72 = 127 ;

→ 127 + (x − 13) = 180 ;

Now, subtract "127" from each side of the equation:

_________________

 → 127 + (x − 13) − 127 = 180 − 127 ;

   to get:

          " (x − 13) = 53 " ; →  which is one of our answers;

 Now, to solve for "x" ; we add "13" to Each Side of the equation;

   to isolate "x" on one side of the equation; & to solve for "x" :

_________________

      x − 13 + 13 = 53 + 13 ;

to get:

_________________

      x  = 66 ;

_________________

So:  The correct answers are:

_________________

 " (x − 13) ° = 53 ° " ;

  → Double check by substituting our value of "66" for "x" :

 " (66 − 13) =? 53 ?  Yes!  ;

_________________

 " x = 66 " ;

_________________

 " m∠2 = 55° " ;

_________________

 " m∠1 = 55° " .

_________________

Hope these answers—and explanations—are helpful!

  Best wishes!

_________________

3 0
3 years ago
In p.
ozzi
The circumference by definition is given by:
 C = 2 * pi * r
 Where,
 r: radius of the circle.
 Substituting values we have:
 C = 2 * 3.14 * 16
 C = 100.48 feet
 Answer:
 
A measurement that is closest to the circumference of the parachute in feet is:
 
C = 100.48 feet
6 0
3 years ago
6x − 3y = 7, −2x + y = −8 <br><br> x=?<br> y=?
kap26 [50]

Answer:

no solution

Step-by-step explanation:

6x - 3y = 7 → (1)

- 2x + y = - 8 → (2)

multiplying (2) by 3 and adding to (1) eliminates the variables

- 6x + 3y = - 24 → (3)

add (1) and (3) term by term

0 + 0 = - 17

0 = - 17 ← false statement

This indicates the system has no solution

5 0
2 years ago
Read 2 more answers
# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
sp2606 [1]

profit from selling 5 oranges is 20%

4 0
3 years ago
Cody works at a car dealership where he earns $300 each week plus a commission equal to 1% of his total sales. This week his goa
Dmitrij [34]

Answer:

$20,000 = sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $300

Commission rate= 1% of sales

<u>First, we need to establish the net income formula:</u>

Net income= 300 + 0.01*sales

<u>Now, the sales required for $500 net income:</u>

500= 300 + 0.01sales

200/0.01 = sales

20,000 = sales

Prove:

Net income= 300 + 0.01*20,000

Net income= $500

5 0
3 years ago
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