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3 years ago

9

The diagram shows two congruent equilateral triangles whose overlap is a hexagon. The areas of the smaller triangles, which are

also equilateral, are 1 , 1 , 9 , 9 , 16 and 16 , as shown. What is the area of the inner hexagon?

2 answers:

seraphim [82]3 years ago

6 0

Answer:

Step-by-step explanation:

sweet [91]3 years ago

5 0

Answer:

38

Step-by-step explanation:

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What is the measure of angle CBE?

GarryVolchara [31]

Answer:

72°

Step-by-step explanation:

180-3x=2x

5x=180

x=36

Angle CBE = 2(36) = 72

7 0

3 years ago

A paper store sells wrapping paper rolls and bags. In the spring, they order a ratio of 3:7 in wrapping paper bags in the spring

Maru [420]

If it can be assumed that the total number paper and bags is the same for both orders, then:

#bags ordered in the spring=7*(150/3)=350, so the total of both is 150+350=500. A 5:5 ratio means that the wrapping paper and bags were bout in equal quantities. That means 500/2=250 for each.

6 0

3 years ago

What can be concluded about the sequence 19, 15, 11,

Mariulka [41]

Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

The common difference of the sequence is the same as the slope of the graph.
The slope of the graph is –4.
The next term in the sequence is represented by point (4, 3).
f(x) = –4x + 19 represents the sequence.
An infinite number of points can be determined to follow this sequence.

The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

The common difference of the sequence is the same as the slope of the graph.
The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

4 0

2 years ago

Please review the image for the question

Flura [38]

Answer: y=1/3x^2-8/3x+10/3

Step-by-step explanation:

6 0

3 years ago

Find the area of the shaded region.

kolbaska11 [484]

Answer:

$\boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}$

Step-by-step explanation:

<u>Given:</u>

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

<em>And,</em>

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

<u>To Find</u>:

The Area of Shaded region

<u>Solution:</u>

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

$\boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}$

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

$\tt\longrightarrow \: Area =B×h-l×b$

Put their values accordingly:

$\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}$

<u>Simplify it.</u>

<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>

$\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}$

$\tt\longrightarrow \: Area = 39 \: {in}^{2}$

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

$\rule{225pt}{2pt}$

I hope this helps!

8 0

2 years ago

Read 2 more answers