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Katarina [22]
2 years ago
14

Help btw this is 6 th grade math I’m just really dumb

Mathematics
2 answers:
Lady bird [3.3K]2 years ago
5 0

Answer:

26 A =1690.48 in^2

27 B 10 2/15 hours

Step-by-step explanation:

26.  The area of the mat is given by

A = l*w

where l = 74.8 and w = 22.6

A = 74.8 * 22.6

A =1690.48 in^2

27.  The candle is 11 2/5 inches tall.  It burns  1 1/8 inches per hour

We need to divide

11 2/5 ÷ 1 1/8

Changing to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷9/8

Copy dot flip

57/5 * 8/9

456/45

Change back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

10 2/15 hours

slamgirl [31]2 years ago
5 0

Answer:

A

Step-by-step explanation:

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Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>,</u></em></h3>
  • GRAM is a parallelogram
  • m<GMA = 66°
  • m<GRP = 32°
  • m<PAM = 41°
<h3><em><u>Solutions</u></em><em><u>:</u></em></h3>

i) <em>Since</em><em>,</em>

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <em><u><RGM = </u></em><em><u>114</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

ii) <em>Since</em><em>,</em>

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<em><GRP = <PMA = 32°</em>

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <em><u><</u></em><em><u>GMP</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>34</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iii) <em>Since</em><em>,</em>

Opposite angles of a parallelogram are equal so,

<em><</em><em>RGM</em><em> = <</em><em>RAM</em><em> = </em><em>114</em><em>°</em>

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <em><u><</u></em><em><u>GAR</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>73</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iv) <em>Since</em><em>,</em>

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

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