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Zepler [3.9K]
3 years ago
11

The value of which makes 2/3(1/4x-2)=1/5(4/3x-1)

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

-34/3

Step-by-step explanation:

2/3(1/4x-2)=1/5(4/3x-1)

2/12x-4/3=4/15x-1/5

1/6x-4/3=4/15x-1/5

1/6x-4/15x=-1/5+4/3

-1/10x=-3/15+20/15

-1/10x=17/15

x=(17/15)/(-1/10)

x=(17/15)(-10/1)

x=-170/15

x=-34/3

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C С 154 -Y Х 2 3 5 w 4 6 7 Z D​
Sergio [31]

Answer:

m<1 = 26°

m<2 = 154°

m<3 = 26°

m<4 = 26°

m<5 = 154°

m<6 = 154°

m<7 = 26°

Step-by-step explanation:

What is required was not stated, however, let's find the value of every angle labelled in this diagram.

✔️m<1 = 180° - 154° (linear pair theorem)

m<1 = 26°

✔️m<2 = 154° (vertical angles theorem)

m<2 = 154°

✔️m<3 = m<1 (vertical angles theorem)

m<3 = 26° (substitution)

✔️m<4 = m<3 (alternate interior angles theorem)

m<4 = 26° (substitution)

✔️m<5 = m<2 (alternate interior angles theorem)

m<5 = 154° (substitution)

✔️m<6 = m<5 (vertical angles theorem)

m<6 = 154° (substitution)

✔️m<7 = m<4 (vertical angles theorem)

m<7 = 26° (substitution)

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