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inna [77]
2 years ago
7

Lines a and b are parallel. What is the measure of angle s?

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
3 0

Answer:

Step-by-step explanation:

t = 158                         Corresponding angles

t + s = 180                   They are supplementary angles

158 + s = 180               Subtract 158 from both sides

s = 180 - 158

s = 22

As a note, all angles in this situation are either 158 or 22.

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Teresa is going for a run. she runs for 9.6 miles at a speed of 6 miles per hour. for how many hours does she run?
Lera25 [3.4K]
Speed=6 miles per hour
Distance =9.6 miles
Speed =distance /time
Time=distance/speed=9.6/6=1.6 hours
7 0
3 years ago
a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient
mixer [17]

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Data;

  • Width of molecule = 3*10^-6 cm
  • Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Learn more on scientific notation here;

brainly.com/question/5756316

brainly.com/question/1712028

7 0
2 years ago
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6 0
3 years ago
_9) What are the solutions of the equation (x – 3)2 + 2(x – 3) - 8 = 0?
Mashcka [7]

Answer:

Step-by-step explanation:

Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.

8 0
2 years ago
Find all solutions to
BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
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