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Otrada [13]
3 years ago
14

I need #1 done (show work) will give brainliest

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Step-by-step explanation:

<u>Statement                                                        Reason                               </u>

∠5 and ∠7 are vertical angles                        Vertical angles theorem

m∠5 = m∠7                                                      Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1                  Given

-2(3x - 4) = 3(x - 3) - 1                                       Substitution property of equality

-6x + 8 = 3x - 9 - 1                                            Distributive property

3x + 6x = 8 + 10                                               Addition property

9x = 18                                                              Addition property

x = 18/9                                                             Division property

x = 2                                                                  Proved

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What is the solution to the system of equations represented by these two lines?
Liono4ka [1.6K]
The solution of two equations/lines is their intersect point.
Therefore, there can only be one intersection point/solution, because these lines are neither parallel or identical.
In the graph you can see that they intersect at (x,y)=(2,3) which is your solution and option b or d as one of them seems to be mistyped :)

@question2
y=kx+b

both your equations share the same k=-2:
y=-2x+3
y=-2x-1

therefore these lines are parallel and don't have any intersection as they are always at different y values (the b)

3 0
4 years ago
I'm lost.. How do you even start it???
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7 0
4 years ago
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The measure of M is 57 begat is the measure of its complementary angle ?
8_murik_8 [283]

Answer:

33°

Step-by-step explanation:

Complementary angles add up to 90°

If we set the other angle as ∠K,

m∠M + m∠K = 90°

57° + m∠K = 90°

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8 0
3 years ago
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olga_2 [115]

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

2x + 90 +  3x = 180

5x + 90 = 180

5x = 90

x = 18

Plug 18 into 2x

2(18) = 36

5 0
3 years ago
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