Plz help and explain​

Step-by-step explanation:

ok

5y -29 and 3y +19 are vertical angles so they are equal

sweet then equal and solve

5Y -29= 3y +19

2y = 48

y = 24

substitute in if needed.

then for 4x+5 and 3X +7

4X + 5 IS CORRESPONDING TO <3. asked <3 is supplementary to 3x+7 so:

4x+5 + 3x + 7 = 180

7x = 168

x = 24

<6 is corresponding to 3x +7 so they are equal

<6 = 3(24) +7 = 79

so first lets findout how much she spent so whats 32.00 - x = 9.20

32.00 - 22.75 =9.25. so she spent a total of $22.75 okay now we know the amount she spent. so now u got it from here.

b) yes

step-by-step explanation:

let the statements be named as,

statement 1: if the power has been cut, then the refrigerator does not work.

statement 2: the refrigerator does not work.

conclusion: the power has been cut

now, 'law of detachment states that if we have the statements given as,

1. if p, then q.

2. p

then, we get the true statement or conclusion as q'.

thus, on comparing, we get that,

p: if the power has been cut.

q: the refrigerator does not work.

so, the argument is true by the law of detachment.