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2 years ago

Triangle angle sum theorem What is the value of p?

Mathematics

1 answer:

monitta2 years ago

8 0

The angle sum property of triangle states that the sum of all angles of a triangle should be equal to 180°...

According to this theorem,

$\sf54 + p-20 + p-48 = 180$

$\sf \: -14 + 2p = 180$

$\sf \: 2p = 180 +14$

$\sf \: 2p = 194$

$\sf \: p=97$

<em>The value of p is 97... </em>

Now, Let's find the value of all angles with the help of value of p

Angle 1 = 54°
Angle 2 = p-48 = 97-48 = 49°
Angle 3 = p-20 = 97-20 = 77°

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3 years ago

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3 years ago

Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equa

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Answer:

Step-by-step explanation:

Even though the options to choose from are not given in this question we can try and lay our hand on the most likely equation for the number of minutes Jack reads his book.

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3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

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Equation Given
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x² + 2x = 17

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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17

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Evaluate the brackets
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x² + 2x + (1)² - ²(1)² = 17

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Form the perfect square
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(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
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(x + 1)² = 17 + 1
(x + 1)² = 18

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Square root both sides
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√(x + 1)² = $\pm$ √18

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Solve for x
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x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

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Answer: x = x = 3.24 or - 5.24
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