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3 years ago

5.solve for x 6. solve for x

Mathematics

2 answers:

olga_2 [115]3 years ago

7 0

Step-by-step explanation:

☯ $\underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} :$

✰ $\underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} :$

$\large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}$ [ Sum of angle in a triangle ]

⤑ $\large{ \tt{90 \degree + 9x \degree = 180 \degree}}$

⤑ $\large{ \tt{9x \degree = 180 \degree - 90 \degree}}$

⤑ $\large{ \tt{9x \degree = 90 \degree}}$

⤑ $\large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}$

⤑ $\boxed{ \large{ \tt{x = 10 \degree}}}$

----------------------------------------------------------

✰ $\underline{ \underline{ \text{For \: Question \: Number \: 6}}} :$

$\large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}$ [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ $\large{ \tt{75 \degree = 5x \degree + 10 \degree}}$

⟶ $\large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}$

⟶ $\large{ \tt{5x \degree = 75 \degree - 10 \degree}}$

⟶ $\large{ \tt{5x \degree = 65 \degree}}$

⟶ $\large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}$

⟶ $\boxed{\large{ \tt{x = 13 \degree}}}$

Hope I helped ! ✧

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Kamila [148]3 years ago

3 0

Answer:

x=10 , x=13

Steps:

4x+5x=180-90

9x=90

x=90/9

x=10

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

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Marrrta [24]

Answer:

$0.46=\frac{23}{50}$

Step-by-step explanation:

To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:

Let x = $\frac{0.46}{1}$

10x = $10*\frac{0.46}{1} =\frac{4.6}{10}$

100x = $100*\frac{0.46}{1}=\frac{46}{100}$ this is our perfect fraction, now we simplify later

100x - 10x = $\frac{46}{100} -\frac{4.6}{10}$

90x = $\frac{46}{100} -\frac{4.6}{10} =0$ this is to confirm both fractions are equal

x is the same as $\frac{0.46}{1}$ as $\frac{4.6}{10}$ as $\frac{46}{100}$ but here x = $\frac{46}{100}$ because a fraction has to have no decimals.

So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to $\frac{46}{100} = \frac{23}{50}$ here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)