Jessica is measuring two line segments. The first segment is 30 cm long. The second line is 50 mm long. How long are the two line

Jessica is measuring two line segments. The first segment is 30 cm long. The second line is 50 mm long. How long are the two line segments together? (answer in cm)

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2 thoughts on “Jessica is measuring two line segments. The first segment is 30 cm long. The second line is 50 mm long. How long are the two line”

  1. Given:

    • Length of 1st line segment ,L1 = 30 cm
    • Length of 2nd line segment ,L2 = 50mm

    To Find:

    • How long are the two line segment together ?

    Solution:

    As we have to calculate the total length of line segment together . Firstly we convert the unit here . In mm to cm

    [tex]\longrightarrow[/tex] 1mm = 1/10 cm

    [tex]\longrightarrow[/tex] 50 mm = 50/10

    [tex]\longrightarrow[/tex] 5cm

    Now, adding both line segment together

    [tex]\longrightarrow[/tex] Length of line segment together = L1 + L2

    [tex]\longrightarrow[/tex] Length of line segment together = 30cm + 5cm

    [tex]\longrightarrow[/tex]Length of line segment together = 35cm

    • Hence , the length of line segment together is 35 cm .
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  2. Answer:

    Given :-

    • Jessica is measuring two line segments.
    • The first segment is 30 cm long.
    • The second line is 50 mm long.

    To Find :-

    • How long are the two line segments together.

    Solution :-

    First, we have to convert the second line into cm :

    [tex] \implies\sf Second\: line =\: 50\: mm[/tex]

    [tex]\implies \sf Second\: line =\: \dfrac{50}{10} \: \bigg\lgroup \bold{\pink{1\: mm =\: \dfrac{1}{10}\: cm}}\bigg \rgroup\\[/tex]

    [tex]\implies \sf Second\: line =\: \dfrac{5\cancel{0}}{1\cancel{0}}[/tex]

    [tex]\implies \sf Second\: line\: =\: \dfrac{5}{1}[/tex]

    [tex]\implies \sf Second\: line =\: 5\: cm[/tex]

    [tex]\implies\sf\bold{\green{Second\: line =\: 5\: cm}}[/tex]

    Hence, the second line in cm is 5 cm .

    Now, we have to find the two line segments together :

    Given :

    • First segment = 30 cm long
    • Second segment = 5 cm long

    According to the question,

    [tex]\dashrightarrow \sf \bold{Two\: line\: segment\: together =\: First\: segment +\: Second\: segment}\\[/tex]

    [tex]\implies \sf Two\: line\: segment\: together =\: 30\: cm +\: 5\: cm\\[/tex]

    [tex]\implies \sf Two\: line\: segment\: together =\: (30 + 5)cm\\[/tex]

    [tex]\implies \sf\bold{\red{Two\: line\: segment\: together =\: 35\: cm}}\\[/tex]

    [tex]\therefore[/tex] The two line segments together is 35 cm .

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