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Lelu [443]
4 years ago
10

-3/8r + 41 = -22 solve for r

Mathematics
2 answers:
Ivahew [28]4 years ago
5 1

Answer:

r=168

Step-by-step explanation:

1Asgaurdian3 years ago
0 0

-3/8r + 41 - 41 = -22 - 41

-3/8r * 8 = -63 * 8

r = -504

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The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?
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\bold{\huge{\pink{\underline{ Solution }}}}

<u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u>

  • <u>The </u><u>sum </u><u>of </u><u>2</u><u> </u><u>numbers </u><u>is </u><u>equal </u><u>to </u><u>1</u><u>1</u><u> </u>
  • <u>The </u><u>difference </u><u>between </u><u>two </u><u>numbers </u><u>is </u><u>1</u><u>9</u><u> </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>x </u><u>and </u><u>y</u><u>. </u>

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

Let the two numbers be x and y

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

\sf{ x + y = 11......eq(1) }

\sf{ x - y = 19......eq(2) }

<u>Solving </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>get </u><u>:</u><u>-</u><u> </u>

\sf{ x + y = 11  }

\sf{ x = 11 - y ......eq(3 ) }

<u>Subsituting </u><u>eq(</u><u>3</u><u> </u><u>)</u><u> </u><u>in </u><u>eq</u><u>(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ x - y = 19 }

\sf{ ( 11 - y) - y = 19 }

\sf{ 11 - y - y = 19 }

\sf{  11 - 2y = 19 }

\sf{ - 2y = 19 - 11  }

\sf{ - 2y = 8}

\sf{ y = 8/(-2) }

\sf{ y = - 4 }

\sf{\red{Thus ,\: the\: value\: of \: y = -4}}

<u>Now</u><u>, </u><u> </u><u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>3</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ x = 11 - y  }

\sf{ x = 11 - (-4 )  }

\sf{ x = 11 + 4  }

\sf{ x = 15 }

Hence, The value of x and y are 15 and (-4) .

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Answer:

  • A, B, C, E

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A rhombus is the parallelogram with perpendicular diagonals. All

<u>Correct statements, reasons:</u>

  • A - adjacent angles are supplementary
  • B - opposite sides are parallel
  • C - diagonals are perpendicular
  • E - opposite sides are congruent

<u>Incorrect statements, reasons:</u>

  • D - opposite angles are congruent, but not supplementary
  • F - diagonals are not congruent, it would be square not rhombus
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