Choose the option that correctly completes the statement.

Mathematics

2 answers:

krek1111 [17]3 years ago

8 0

Answer:

D. 360 degrees.

Step-by-step explanation:

We have been given an incomplete statement. We are asked to complete the given statement using provided options.

Statement:

The sum of the measures of the interior angles of a quadrilateral is _____ degrees.

We know that a quadrilateral is a polygon with 4 vertices.

We can divide a quadrilateral into two triangles by drawing a diagonal. We know that sum of three angles of a triangle is equal to 180 degrees, so sum of angles of two triangles would be 360 degrees.

Therefore, the sum of the measures of the interior angles of a quadrilateral is <u>360</u> degrees and option D is the correct choice.

xenn [34]3 years ago

5 0

<span>The sum of the measures of the interior angles of a quadrilateral is 360 degrees.</span>

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An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

$a_n=1 + (-\frac{4}{9} )^n\\\\When\ n=1:a_1=1 + (-\frac{4}{9} )^1=0.5556\\\\When\ n=2:a_2=1 + (-\frac{4}{9} )^2=1.1975\\\\When\ n=3:a_3=1 + (-\frac{4}{9} )^3=0.9122\\\\When\ n=4:a_4=1 + (-\frac{4}{9} )^4=1.039\\\\When\ n=5:a_5=1 + (-\frac{4}{9} )^5=0.9827\\\\When\ n=6:a_6=1 + (-\frac{4}{9} )^6=1.0077\\\\When\ n=7:a_7=1 + (-\frac{4}{9} )^7=0.9966\\\\When\ n=8:a_8=1 + (-\frac{4}{9} )^8=1.0015\\\\When\ n=9:a_9=1 + (-\frac{4}{9} )^9=0.9993\\\\$

$When\ n=10:a_{10}=1 + (-\frac{4}{9} )^{10}=1.0003\\$

The first ten terms of the sequence $a_n=1 + (-\frac{4}{9} )^n$ is<em> 0.5556, 1.1975, 0.9122, 1.039, 0.9827, 1.0077, 0.9966, 1.0015, 0.9993 and 1.0003</em>

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Zinaida [17]

Answer:

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Step-by-step explanation:

A company is designing a new cylindrical water bottle.

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