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Luda [366]
3 years ago
8

The answer for the simplest form

Mathematics
1 answer:
grigory [225]3 years ago
3 0
The simplest form is 11/24.
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In triangle XYZ, the measure of angle X is 84, the measure of angle Y is (r + 59) and the measure of angle z is (r + 51), find t
xenn [34]

Answer:

  • r = -7
  • Y = 52°

Step-by-step explanation:

The sum of the measures of the angles in a triangle is 180°.

  X + Y + Z = 180°

  84° +(r +59)° +(r +51)° = 180°

  2r +194 = 180 . . . . . . . . . divide by ° and simplify

  2r = -14 . . . . . . . . . .  subtract 194

  r = -7

Then the measure of Y is ...

  Y = (r +59)° = (-7 +59)°

  Y = 52°

__

<em>Additional comment</em>

Z = 44°

5 0
3 years ago
-3|9x-7|=2 Find the answer for x
labwork [276]
<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

<u>No Solutions</u>

<h3>Step-by-step explanation:</h3>

Given:

-3|9x -7| = 2

Rewriting the given equation:

-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}

We have to realize that the right side of the equation, |9x -7|, will always be positive no matter what real values of x (because we're taking the absolute value of the expression) and we are equating it to a <em>negative</em> constant number, -\frac{2}{3}\\. Something that is always positive will never be negative so there's no value for x that satisfies the solution.

\rule{6.5cm}{0.5pt}

<em>You</em><em> </em><em>may</em><em> </em><em>not</em><em> </em><em>read</em><em> </em><em>the</em><em> </em><em>following</em><em> passage</em><em> </em><em>that</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>written.</em>

\rule{6.5cm}{0.5pt}

Solving by positive of the expression:

9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}

Solving by the negative of the expression:

-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\  9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}

Checking: x = \frac{19}{27}\\

-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{19}{27}\\ is an extraneous solution.

Checking: x = \frac{23}{27}\\

-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{23}{27}\\ is an extraneous solution.

8 0
3 years ago
Help please I ain't very good at math​
ruslelena [56]

the idea of showing that multiplying by 1 is true because as long as A and B follow the same ratio pattern (ie. 1n:2n is the same as 2n:4n) the statement will always be true

6 0
3 years ago
Read 2 more answers
I need help and a explanation please
Zanzabum

Answer:

$6.48

Step-by-step explanation:

It would be $6.48 because 1.60 times 4 1/2 is 7.2 and if you do 10% of 7.2 you get B.

3 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
o-na [289]

Answer:

1.03 %

Step-by-step explanation:

The whole numbers are in millions. We can adjust it when we are done.

58 * x/100 = 60                      Multiply by 100

58*x = 60 * 100

58*x = 6000                           Divide by 58

x = 6000/58

x = 103

Now what exactly do we have. Did it increase by 103 %? Surely it couldn't.

Remember in the equation The % is divided by 100

103/100 = 1.03% And that's the answer.

5 0
3 years ago
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