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4 years ago

Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.

Mathematics

1 answer:

Tpy6a [65]4 years ago

6 0

Answer: The measure of the third angle of a triangle is 64°.

Step-by-step explanation:

Since we have given that

First angle = 44°

Second angle = 72°

Let the third angle be x.

As we know that the sum of all three angles of a triangle is supplementary.

$44^\circ+72^\circ+x=180^\circ\\\\116^\circ+x=180^\circ\\\\x=180^\circ-116^\circ\\\\x=64^\circ$

Hence, the measure of the third angle of a triangle is 64°.

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Solve the following logarithmic equations.<br> ln(32x^2) − 3 ln(2) = 3

Kazeer [188]

Answer:

$x=\pm \frac{\sqrt{e^{3} } }{2}$

Step-by-step explanation:

Rewrite the equation using the next propierties:

$log(\frac{1}{x} )=-log(x)$

$ylog(x)=log(x^{y} )$

$log(x*y)=log(x)+log(y)$

$ln(32x^{2} )-ln(2^{3})=3\\ ln(32x^{2} )+ln(\frac{1}{2^{3} } )=3\\ln(\frac{32x^{2} }{8})=3\\ ln(4x^{2} )=3$

Cancel logarithms by taking exp of both sides:

$e^{ln(4x^{2}) } =e^{3} \\4x^{2} =e^{3}$

Divide both sides by 4:

$x^{2} =\frac{e^{3} }{4}$

Take the square root of both sides:

$x=\pm \sqrt{\frac{e^{3} }{4} } =\pm \frac{\sqrt{e^{3} } }{2}$

6 0

3 years ago

If T(n) = 2n - 7 what is the 5th term

nadezda [96]

Plug in n = 5 to find the 5th term

T(5) = 2(5) - 7
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The 5th term is 3.

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3 years ago

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Do these side lengths make a triangle?<br> 8 8 4

chubhunter [2.5K]

Answer:

Yes, isosceles triangle

Step-by-step explanation:

Side lengths of 8, 8, and 4 will make an isosceles triangle.

It would look something like this:

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3 years ago

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ivolga24 [154]

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3 years ago

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Zarrin [17]

Answer:

Step-by-step explanation:

Given that events are as follows:

A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one

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