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Alona [7]
3 years ago
10

2 (4z-1)=3(z+2) simplify

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
4 0

Answer:

8/5

Step-by-step explanation:

Komok [63]3 years ago
3 0

Answer:

z=8/5

Step-by-step explanation:

2(4z-1)=3(z+2)

distribute the 2 and 3

8z-2=3z+6

move 2 to the other side by adding 2

8z=3z+8

move 3 to the other side by subtracting 3

5z=8

divide both sides by 5

z= 8/5

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Find the measure of each angle :Supplementary angles with measures (2x+4) and (3x+1)
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First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°

(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
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