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ki77a [65]
3 years ago
14

I will give brainliest but you need to explain how you received the answer so i can learn how to do it on my own/// thanks!

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0
To solve this problem we must know that when any two lines intersect , a pair of opposite angles from the figure Will be equal
so that means that
4x + 20 = 3x + 55
we can subtract twenty from each side
4x + (20 - 20) = 3x + (55 - 20)
4x = 3x + 35
now we can subtract like terms
4x - 3x = (3x - 3x) + 35
so we can get the final answer as
1x = 35
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Answer:

\huge{ \fbox{ \sf{5b + 9}}}

Step-by-step explanation:

\star{ \text{( \: 3b + 5) + (2b + 4)}}

\text{Step \: 1 \:  :  \sf{Remove \: the \: unnecessary \: parentheses}}

\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}

\text{That \: means, \: the \: expression \: remains \: the \: same. \: Just \: you \: have \: to \: remove \: the \: parentheses.}

\mapsto{ \sf{3b + 5 + 2b + 4}}

\text{Step \: 2 \:  : Collect \: like \: terms.}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

\mapsto{ \sf{3b + 2b + 5 + 4}}

\mapsto{ \sf{5b + 5 + 4}}

\text{ Step \: 3 \:  :  \sf{Add \: the \: numbers : 5 \: and \: 4}}

\mapsto{ \boxed {\sf{ {5b + 9}}}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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Step-by-step explanation:

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