Match the reasons with the statements in the proof.

Mathematics

2 answers:

scoray [572]3 years ago

4 0

Given: a | | b, m 2 = m 3
Prove: m 1 = m 3

1. a || b, m∠2 = m∠3
Given

2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.

3. m∠1 = m∠3
Substitution

Lady bird [3.3K]3 years ago

3 0

Swap the last two reasons in your problem statement, and you have it sorted.

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What is 9/10 + 7/15

Yakvenalex [24]

$\huge\text{Hey there!}$

$\mathsf{\dfrac{9}{10}+\dfrac{7}{15}}$

$\large\textsf{FIRST: FIND the LCD (Lowest Common Denominator) then solve}\\\large\textsf{from there!}$

$\large\textsf{If you have calculated it correctly, you should have came up with \underline{\bf 30}}\\\large\textsf{as your LCD (Lowest Common Denominator).}$

$\mathsf{= \dfrac{9\times3}{10\times3}+ \dfrac{7\times2}{15\times2}}$

$\mathsf{9\times3=\bf 27}\\\mathsf{10\times3=\bf 30}\\\\\mathsf{7\times2=\bf 14}\\\mathsf{15\times2=\bf 30}$

$\mathsf{= \dfrac{27}{30}+\dfrac{14}{30}}$

$\mathsf{= \dfrac{27+14}{30}}$

$\mathsf{27+ 14=\bf 41}\\\\\mathsf{30+0=\bf 30}$

$\mathsf{= \dfrac{41}{30}}\large\textsf{ which you could convert to }\mathsf{1 \dfrac{11}{30}}$

$\boxed{\boxed{\large\textsf{ANSWER: }\bf \dfrac{41}{30} \large\textsf{ or }\mathsf{\bf 1 \dfrac{11}{30}\large\textsf{ because they both equal the same thing}}}}}\huge\checkmark$