9514 1404 393
Answer:
- x=2 (work is correct)
- x=4
- x=44
- x=4
- x=any number
- impossible; no such number
Step-by-step explanation:
1. The equation is ...
3x +5 = 11
3x = 11 -5 = 6
x = 6/3 = 2 . . . . matches the work shown
__
2. The equation is ...
(x +2)·5 = 30
x +2 = 30/5 = 6
x = 6 -2 = 4
__
3. The equation is ...
(x/2) +2 = 24 . . . . matches the work shown
x/2 = 24 -2 = 22
x = 22·2 = 44
__
4. The equation is ...
2x +8 = x +12
2x = x + 12 -8 = x +4
2x -x = x -x +4
x = 4
__
5. The equation is ...
2x +4 -x -3 = x +1
x +1 = x +1 . . . . . true for any value of x
__
6. The equation is ...
(3x +6) -2x = x +3
x +6 = x +3 . . . . . not true for any number
_____
<em>Additional comment</em>
The work shown is correct. You find x by writing and solving an appropriate equation. To solve the equation, undo the steps that are done to x. Undo addition by adding the opposite. Undo multiplication by diving by the multiplier. It often helps to collect terms before you start the "undo" steps.
For x on both sides of the equation (as in problems 4–6), you can subtract the term with the lowest coefficient. (Of course, you must subtract it from both sides of the equation.) In problem 5, if you do that, you get 1=1, which is true for any value of x. In problem 6, if you do that, you get 6=3, a false equation, indicating no value of x will make it true.
1.
1 km = 1000 m
619.5 km = 619.5 * 1000 m = 619,500 m
2.
1,000 mm = 1 m
5,941 mm = 5.941 m
3.
2
4.
4
The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
<h3>How to solve the expression?</h3>
The expression is given as:
4x + 5xy - 2y
The above expression cannot be solved.
However, the expression can be grouped
So, we have:
4x + 5xy - 2y
Rewrite 5xy as 4xy + xy
So, we have:
4x + 5xy - 2y = 4x + 4xy + xy - 2y
Factorize the expression
4x + 5xy - 2y = 4x(1 + y) + y(x - 2)
Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
Read more about expressions at:
brainly.com/question/723406
#SPJ1
FIRST
I solve the angles on the center (2,3,4)
∠2 is as big as 121° because they are vertical angles
∠3 is as big as ∠4 because they are vertical angles
The sum of angles on the center is 360° because they make a round of circle
121° + ∠2 + ∠3 + ∠4 = 360°
121° + 121° + ∠3 + ∠3 = 360°
242° + 2(∠3) = 360°
2(∠3) = 118°
∠3 = 59°
∠4 = 59°
SECOND
I want to find angle on the left (1) with interior angles of triangle
The sum of interior angles in triangle = 180°
∠1 + ∠3 + 48° = 180°
∠1 + 59° + 48° = 180°
∠1 = 73°
THIRD
I'm going to the right triangle. The right triangle is congruent with the left triangle. So the angles that facing each other has the same number.
∠7 = 48°
∠6 = ∠1 = 73°
FOURTH
I'm going to the upper triangle and find ∠5
The sum of interior angles in triangle = 180°
35° + ∠2 + ∠5 = 180°
35° + 121° + ∠5 = 180°
∠5 = 24°
LAST
I'm going to the lower triangle. The lower triangle is congruent with the upper triangle. So the angles that facing each other has the same number.
∠8 = 35°
∠9 = ∠5 = 24°
THE SUMMARY
∠1 = 73°
∠2 = 121°
∠3 = 59°
∠4 = 59°
∠5 = 24°
∠6 = 73°
∠7 = 48°
∠8 = 35°
∠9 = 24°
Why yes i can! But i'll lead you through it so you learn how to do it :).
T=3x+3b
-3x -3x
T-3x=3b
T-3x/3=b
( / means divided by if you didnt know)
