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IrinaK [193]
3 years ago
8

The measure of two supplementary angles are x+10 and 2x-5. Find the values of x and then find the angles

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0

Answer:

  68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

  (x +10) +(2x -5) = 180

  3x +5 = 180 . . . . . collect terms

  x +5/3 = 60 . . . . . divide by 3

  x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

  x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

  2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

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Shannon test-drives a car in Germany and drives 95 kilometers per hour. What is her speed in the miles per hour ?
Reptile [31]

Answer:

59.0303 miles per hour

Step-by-step explanation:

8 0
3 years ago
A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?
katrin2010 [14]

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We know that

V = πr²h

400 = 22/7 × r² × 8

400 × 7 = 22 × 7r²

2800 = 154r²

2800/154 = r²

18 ≈ r²

4.2 = r

6 0
3 years ago
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Heights of young adult women in the United States are approximately Normal with a mean of 64 inches and standard deviation 2.7 i
sweet-ann [11.9K]

Answer:

The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is  

   P( X >  72) =0.0015233

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =  64 \ inches

    The standard deviation is  \sigma =  2.7 \  inches

Generally  6 feet  is equivalent to 6 * 12 = 72 inches

Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as

       P( X >  72) =  P(\frac{X - \mu }{\sigma }  >  \frac{72  - 64 }{ 2.7 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

       P( X >  72) =  P(Z >  2.963 )

From the z-table

  The area under the normal  curve to the right corresponding to 2.963  is  

     P(Z >  2.963 ) = 0.0015233

=>   P( X >  72) =0.0015233

3 0
3 years ago
Explanation how solve step by step 2/7m-1/7=3/14
Drupady [299]

Answer:

m = 25/28

Step-by-step explanation:

It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity:   2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).

The LCD is 14; each of the denominators {7, 14} divides evenly into 14.  Hence our equation becomes

(4)(m - 1/7) = 3

... after multiplying every term by 14.

Let's multiply each side by 7 to eliminate the remaining fraction:

4(7m - 1) = 21, or

28m - 4 = 21, or

28m = 25.

Hence, m = 25/28.

8 0
3 years ago
I will give brainliest! How do I find the radius? 5 stars and thanks, even if the answer is incorrect.
Otrada [13]

Answer:divide 3.5 by 2 so its 1.75

Step-by-step explanation:

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3 years ago
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