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3 years ago

7

Find the measure of an exterior angle of a decagon

1 answer:

miv72 [106K]3 years ago

6 0

$\bf \textit{sum of all exterior angles in a polygon}\\\\n\theta =360~~\begin{cases}n=\textit{number of}\\\qquad sides\\\theta =angle~in\\\qquad degrees\\[-0.5em]\hrulefill\\n=10\end{cases}\implies 10\theta =360\implies \theta =\cfrac{360}{10}\implies n=36$

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What is the solution of the equation below? Round your answer to

bekas [8.4K]

<em>Answer:</em>

<em>x ≅ 79.1</em>

<em>Step-by-step explanation:</em>

<em>10log(4x) = 25 </em>

<em>2log(4x) = 5 </em>

<em>log((4x)²) = 5 </em>

<em>(4x)² = 10⁵ </em>

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<em>x ≅ 79.1</em>

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4 years ago

An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a

RoseWind [281]

Answer:

$36\ tigers$

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

$x+y+z=120$ ----> equation A

Remember that

$20\%=20/100=0.20$

$50\%=50/100=0.50$

To find out the number of lions, multiply the total animals by the percentage of lions

$x=0.20(120)=24\ lions$

To find out the number of zebras, multiply the total animals by the percentage of zebras

$z=0.50(120)=60\ zebras$

Substitute the value of x and the value of z in equation A and solve for y

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3 years ago

Answer Yes or No and explain why in one sentence.<br>(click the picture)

Lilit [14]

Yes, because there are common factors in the equation. therefore showing you can group

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3 years ago

Read 2 more answers

Two angles areComplementary One angle measures (2x-16) degrees. The other measures (x +1) degrees. What is the value of the larg

mash [69]

Given:

Two angles are Complementary.

One angle measures (2x-16) degrees.

The other measures (x +1) degrees.

To find:

The value of the larger angle.

Solution:

Let,

$\angle 1=(2x-16)^\circ$

$\angle 2=(x+1)^\circ$

We know that, sum of two complementary angles is 90 degrees. Since, given angles are complementary angles, therefore

$\angle 1+\angle 2=90^\circ$

$(2x-16)^\circ+(x+1)^\circ=90^\circ$

$(3x-15)^\circ=90^\circ$

Now,

$3x-15=90$

$3x=90+15$

$3x=105$

Divide both sides by 3.

$x=35$

The value of x is 35.

$\angle 1=(2(35)-16)^\circ$

$\angle 1=(70-16)^\circ$

$\angle 1=(54)^\circ$

And,

$\angle 2=(35+1)^\circ$

$\angle 2=(36)^\circ$

Therefore, the value of the larger angle is 54 degrees.

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4 years ago

Find the common difference of the arithmetic sequence 13, 16, 19,...13,16,19,...

VLD [36.1K]

Answer:

the common difference is plus 3

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3 years ago