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gregori [183]
3 years ago
14

How to solve this? In a magic pentagon, the three numbers along each of the five sides add up to the sane total. We call this th

e "Magic Total". For example, "x+7+B=24". Need to find x so to find all three nunbers of each side.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0
Add up the numbers of the sides you have then subtract it from the Magic total
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Hey guys can anyone help me find the missing side length pls and ty
Tcecarenko [31]

\bold{\huge{\green{\underline{ Solution}}}}

\bold{\underline{ Given :- }}

  • <u>We </u><u>have </u><u>given </u><u>a</u><u> </u><u>right</u><u> </u><u>angled </u><u>triangle </u><u>whose </u><u>values </u><u>are </u><u>m</u><u>, </u><u> </u><u>n </u><u>and </u><u>2</u><u> </u>

\bold{\underline{ To \: Find :- }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>m </u><u>and </u><u>n</u>

\bold{\underline{ Let's \: Begin :- }}

<u>In </u><u>the </u><u>given </u><u>right </u><u>angled </u><u>triangle</u><u>, </u><u>we </u><u>have </u>

  • Perpendicular height = n units
  • Base = 2 units
  • Hypotenuse = m units

<u>Now</u><u>, </u><u> </u><u>By </u><u>using </u><u>trigonometric </u><u>ratios </u>

\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}

\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}

\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}

<u>According </u><u>to </u><u>the </u><u>question </u><u>:</u><u>-</u>

\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}

\bold{ 1/√2= }{\bold{\frac{2}{m}}}

\bold{\red{ m = 2√2 \: units }}

  • <u>We </u><u>know </u><u>that </u><u>,</u><u> </u><u>Sum </u><u>of </u><u>Angles</u><u> </u><u>of </u><u>triangle </u><u>is </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u><u>.</u>

<u>Therefore</u><u>, </u>

Let the unknown angle be x

\sf{ 45° + x + 90° = 180° }

\sf{ x = 180° - 135 °  }

\sf{ x = 45°   }

<u>Now</u><u>, </u>

\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}

\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}

\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}

\bold { n = 2√2/√2  }

\bold{\red{ n = 2\: units }}

Thus, The value of m = 2√2 and n = 2

\sf{\blue{ Hence, \: option \: D \: is \: Correct }}

5 0
2 years ago
Read 2 more answers
Round 287301 to the nearest hundred thousand
motikmotik
It would be rounded to 300,000
3 0
3 years ago
Read 2 more answers
Three ratios equal to 8/10
Paul [167]

Answer:

48 : 60 56 : 70 64 : 80

Step-by-step explanation:

hope this helps

3 0
3 years ago
determine whether each traingle is s right traingle. justify your answer. show your work on a separate piece of paper 24 m 143 m
lyudmila [28]
Well first h need to find is s
7 0
3 years ago
The cost of five shirts and three pairs of pants is $229.25. If one pair of pants costs $37.25, what is the cost of one shirt? (
katen-ka-za [31]
3 x $37.25 = $111.75 
$229.25 - $111.75 = $117.50
$117.50 ÷ 5 = $23.50
So the answer is B
6 0
3 years ago
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