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Marina CMI [18]
3 years ago
15

Solve for X X=..........................

Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0

Answer:

(3x -5)°+ (2x- 15)°=180°[sum of co- Interrior angles of a triangle is 180°]

or, 3x- 5 + 2x - 15=180°

or,5x - 20 = 180°

or, 5x = 180°+20

or, x = 200÷ 5

•°•x = 40°

Stolb23 [73]3 years ago
4 0

Answer:

X = 40

Step-by-step explanation:

3x + 2x -5 -15 = 180

5x + -20 = 180

then u add 20 on both sides

5x + 0 = 200

ya the 0 is not necessary but I was showing u add 20 on both sides lol

then u divide 5 on both sides to get the x by itself

x = 40

Hope this helps dude ^-^

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valina [46]

5y+2x=10y=−25x+2246810−2−4−6−8−10246810−2−4−6−8−10Let's solve for x.5y+2x=10Step 1: Add -5y to both sides.2x+5y+−5y=10+−5y2x=−5y+10Step 2: Divide both sides by 2.2x2=−5y+102x=−52y+5Answer:x=−52y+5

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3 years ago
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What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex
Nonamiya [84]

Combine the terms by multiplying into a single fraction.

\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14   }

Find the common denominator.

\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14   }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14   }

Combine the multiplied terms into a single fraction

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14   }

Find the common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4}    }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4}   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4}   }

Eliminate the denominators of the fractions.

\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4}   }

Cancel the multiplied terms that are in the denominator.

\bf{2(5x-14)=3x+56}

To distribute.

\bf{10x-28=3x+56 }

Add 28 to both sides.

\bf{10x-28+28=3x+56+28 }

Simplify

\bf{10x=3x+84 }

Subtract 3x from both sides.

\bf{10x-3x=3x+84-3x }

Simplify

\bf{7x=84 }

Divide both sides by the same factor.

\bf{x=\dfrac{84}{7} }

Simplify

\bf{x=12 \ \ \ === > \ \ \ Answer}

↓

<h3>Verification</h3>

Let x=12.

  1. \bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14   }
  2. \bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14   }
  3. \bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14   }
  4. \bf{30-7=\dfrac{3}{4}\times12+14   }
  5. \bf{30-7=\dfrac{3\times12}{4}+14   }
  6. \bf{30-7=\dfrac{36}{4}+14   }
  7. \bf{30-7=9+14   }
  8. \bf{23=9+14 }
  9. \bf{23=23}

Checked ✅

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What is the reason for Statement 5 of the two-column proof?
zmey [24]

Given: ∠JNL and ∠MNK are vertical angles and  m∠MNK=90°

Prove: ∠JNL is a right angle.

   Statements                                                     Reasons

1.  ∠JNL and ∠MNK are vertical angles.             Given

2. \angle JNL \cong \angle MNK        Vertical angle theorem

3. m \angle JNL = m \angle MNK        Angle congruence postulate

4.  m \angle MNK = 90^\circ                Given

5. m \angle JNL = 90^\circ                 <u> Substitution Property of Equality</u>

Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.

Therefore,  m \angle JNL = 90^\circ

6. ∠JNL is a right angle.                                     Definition of right angle

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Answer:

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Step-by-step explanation:

We need to find AC.

Picture a triangle called ABC. AB is one side and BC the other while AC is the hypotenuse.

AC=

ac =  \sqrt{ab ^{2}  +  {bc}^{2} } \\ ac = \sqrt{ {7}^{2} }  +  {3}^{2}  \\ ac =  \sqrt{49 + 9}  \\ ac =  \sqrt{58 }  \\ ac = 7.6

Round up the 7.6 to a whole number and you get AC=8. To get perimeter of a triangle simply add the sides together to get 18.

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creativ13 [48]

Answer:

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Interval Notation: (17, ∞)

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