IF THREE DIAGONALS ARE DRAWN INSIDE A HEXAGON WITH EACH ONE PASSING THROUGH THE CENTER POINT OF THE HEXAGON, HOW MANY TRIANGLES ARE FORMED?

Problem 34

Answer: [tex]\boldsymbol{n(B) = 3}[/tex]

Reason:

We count the number of items inside set B. In this case there are 3 values, so that is why n(B) = 3

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Problem 36

Answer:  [tex]\boldsymbol{n(A \cap C) = 1}[/tex]

Reason:

To be able to count the number of items inside set [tex]A \cap C[/tex], we first need to determine what this set looks like. In other words, we need to know the number(s) inside this set.

The upside down U symbol is the intersection symbol. It indicates we want to find what the sets A and C have in common. In this case, it's the value "4" and nothing else. This number is in both set A and set C at the same time. It might help to draw a venn diagram as you see below. I'm ignoring set B entirely since your teacher is not asking about the set in this problem.

We can then say [tex]A \cap C = \{4\}[/tex]

There's only one item inside this set, which is why [tex]n(A \cap C) = 1[/tex]

Answer:

x y

3 2

4 1

5 0

6 1

7 2 (There is a line between the x and y that goes all the way down the numbers so they are seperated)

Step-by-step explanation

Answer:

esa respuesta está difícil pero si calculamos la creta de tu mamá con la semilla mía xrei que puede dar tu maldita madre

We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.

Remember the exponent property:

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

Here we have the expression:

[tex]\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2}[/tex]

We can reorder this to get:

[tex]\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2} = \frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2}[/tex]

The right side can be simplified to:

[tex]\frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2} = 64.04*10{12 - 3 - 2} = 64.04*10^{7}[/tex]

Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:

[tex]6.404*10^8[/tex]

Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).

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Translating shape A by the vector [tex](^1_4)[/tex] means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Let us assume that the vertices of shape A is at A(3, 3), B(6, 3), C(6, 1) and D(3, 1)

Translating shape A by the vector [tex](^1_4)[/tex] means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)

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Answer:

37.170

Step-by-step explanation:

Answer: Jane incorrectly evaluated (-2)² in step 2.

Step-by-step explanation:

[tex](-2)^{2}=4[/tex], not -4.

Answer:

  (x, y) = (-2, 5/3)

Step-by-step explanation:

The system of equations is easily solved by substitution.

Using the given value of x, substitute for x in the first equation to find y.

  y = 2/3(-2) +3

  y = -4/3 +9/3 = 5/3

The solution is (x, y) = (-2, 5/3).

Answer:

a(a - b)

Step-by-step explanation:

given polynomial:  a²- ab - 8a + 8a

We can first simplify this answer by removing like terms,

- 8a + 8a = 0

so we have a²- ab in. the simplest form

we can take this one step further and factor out the a (not simplest form)

a time a = a²

a times b = ab

hence, a(a - b)

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Answer:

14 inches

Step-by-step explanation:

If you think about it, if you were to shift the side DC to the left until it aligns with FE, you would get a straight line. This line would be parallel, and equal to AB, which can be determined by using the right angles, which are given. So AB = FE + DC, and the value of AB is given as well as the value of DC. So plugging in the known values you get 20 = FE + 6. Now subtract 6 from both sides and you get 14 = FE. So FE is 14 inches

Answer:

Step-by-step explanation:

Please help. I just need to know what the missing side is.

from the question you are looking for EF

EF + CD = 20 in (from AB misure)

so

20 - 6 = 14 = EF

Answer...

32!!

Step-by-step explanation:

Subtract the numbers to see a pattern of decreasing odd numbers

167-118 = 49

118-82 = 36

82-57 = 25

57-41 = 16

The difference between is 13 then 11 then 9 so the next number should be x-7

Answer:

buy a new car because cars depreciates

Answer: A, 6 cm

Step-by-step explanation:

Circumference is 2(radius) * pi.

A. 12pi   C. 24pi   B. 16pi   D. 32pi

Assuming pi is roughly 3,

A = 36

C = 72

B = 48

D = 96

A is the closest and if you actually used pi, it would be about 3.14159265 which would make the circumference slightly over 36, which 37.68 is.

Hope this helped.

The transformations are

The functions are given as:

f(x) = x

g(x)= x - 16

When a function is shifted right, the transformation rule is:

(x, y) = (x - h, y)

This means that the transformation is (d) A horizontal shift 16 units to the right

Since the parent function is a base linear function.

The transformation can also be represented as:

(x, y) = (x, k - h)

This gives

g(x)= x - 16

This means that the transformation is (b) A vertical shift 16 units downward.

Hence, the transformations are (b) and (d)

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Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

2x + y = -2 ---> y = -2 - 2x

instead: 5x-2y = -23 ---> 5x - 2(-2 -2x) = -23 ----> 5x+4+4x= -23 ---> 9x= -27

                   ---> x = -3

Answer:

C ON EDGE

Step-by-step explanation:

Answer:

7%

Step-by-step explanation:

1500 is 100%. We divide 300, 450, and 665 shots by 1500  to get their percentages, 20%, 30%, and 43.333333333333333333333333333%, rounded to 43%. We subtract all the percentages from 100 and we get 7 percent left! (If this is wrong, I am only 10 so don't judge me)

Answer:

x = 27°

Step-by-step explanation:

Hello!

Complementary angles add up to 90°.

Since angles A and B are complementary, we can sum up the equations to 90° and solve for x.

The value of x is 27°.

Answer:

D. 5

Step-by-step explanation:

2x - 6 + 1 + x - 4 = 18

3x - 9 = 18

3x = 27

x = 9

RS = x - 4 = 9 - 4 = 5

Answer: D. 5

Answer:

35 585

Step-by-step explanation:

Each term is   the product of the previous two terms minus the term that is two before

3*5  - 3 = 12

5 x12 - 5   = 55

12 x 55 - 12 = 648

55 * 648  - 55 = 35 585

or each term is   term that is two before x  (term before -1)

3 (5-1) = 12

5 x (12-1) = 55

12 * (55-1) = 648

55 * ( 648-1) = 35 585

The required next term in the sequence is 35,185.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

here,
Given sequence 3, 5, 12, 55, 648
The given sequence has the following pattern,
3 × 5 - 3 = 12
5 × 12 - 5 = 55
12 × 55 - 12 = 648

55 × 648 - 55 = 35,185

Thus, the required next term in the sequence is 35,185.

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Answer:

4.23

Step-by-step explanation:

add 0.01

Answer:

Step-by-step explanation:

6 + 5X = 21
5X = 21-6 = 15

X = 15/5 = 3 miles per day on an average

The average rate of change in attendance from 2011-2021 is 1.132 per year

From the graph, we have:

The average rate of change is then calculated as:

Rate = (58.77 - 47.45)/(2021 - 2011)

Evaluate

Rate = 1.132

2022 is 11 years from 2011.

So, the predicted annual attendance for 2022 is;

Attendance = 47.45 + 1.132 * 11

Attendance = 59.90

The years with unusual growth are 2020 and 2021.

This is so because they have the same attendance.

The factor that might have contributed to the anomalous growth include

In (a), we have:

Attendance = 47.45 + 1.132 * 11

Express as a function

y(t) = 47.45 + 1.132(t)

2025 is 14 years from 2011.

So, we have:

y(14) = 47.45 + 1.132(14)

y(14) = 63.298

2030 is 19 years from 2011.

So, we have:

y(19) = 47.45 + 1.132(19)

y(19) = 68.958

The factors include:

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Answer:

$17,500 was invested in the account that gained 10% and

$11,000 was invested in the account that lost 4%

Step-by-step explanation:

Define the variables:

Given information:

Percentages in decimal form:

Create a system of equations using the given information and defined variables:

[tex]\begin{cases}x + y = 28500\\0.1x - 0.04y = 1310 \end{cases}[/tex]

Rewrite Equation 1 to make y the subject:

[tex]\implies y=28500-x[/tex]

Substitute into Equation 2 and solve for x:

[tex]\implies 0.1x-0.04(28500-x)=1310[/tex]

[tex]\implies 0.1x-1140+0.04x=1310[/tex]

[tex]\implies 0.14x=2450[/tex]

[tex]\implies x=17500[/tex]

Substitute the found value of x into Equation 1 and solve for y:

[tex]\implies 17500+y=28500[/tex]

[tex]\implies y=11000[/tex]

Conclusion

$17,500 was invested in the account that gained 10% and

$11,000 was invested in the account that lost 4%

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Using proportions, the ratio that is not equivalent to the ones shown in the table is given by:

32 to 6.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In the table, the ratios is given as follows:

Hence the different ratio is:

32 to 6.

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Answer:

[tex]\sf y=\sqrt{21}[/tex]

Step-by-step explanation:

Altitude:  A line segment drawn from a vertex that is perpendicular to the side opposite that vertex.

Therefore, the altitude on the given diagram is y.

The two internal triangles formed by drawing the altitude are similar to the original triangle.  If two triangles are similar, their sides are proportional in length.

[tex]\implies \sf \dfrac{segment}{altitude}=\dfrac{altitude}{segment}[/tex]

[tex]\implies \sf \dfrac{3}{y}=\dfrac{y}{7}[/tex]

[tex]\implies \sf 3 \cdot 7=y \cdot y[/tex]

[tex]\implies \sf y^2=21[/tex]

[tex]\implies \sf y=\sqrt{21}[/tex]

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Lakesha gave away 8/10 of her cookies.

We know that she gave away 3/10 of her cookies to Bailey and 5/10 of her cookies to Helen.

Then the fraction that she gave away is:

3/10 + 5/10

Notice that both fractions have the same denominator, then we can directly add the numerators:

3/10  + 5/10 = 8/10

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Answer:544/8.50=h

Step-by-step explanation:

544 divided by 8.50 = the number of hours

The surface area of the complex figure is: 582 ft².

Surface area of the complex figure = surface area of the triangular prism +  surface area of the rectangular prism - 2(area of the face of the triangular prism that joins with the rectangular prism).

Surface area of the triangular prism = (s1 + s2 + s3)L + bh = (11 + 9 + 9)5 + (11)(7)

Area of the triangular prism = 222 ft²

Surface area of the rectangular prism = 2(wl+hl+hw) = 2·(5·15+8·15+8·5) = 470 ft².

2(area of the face of the triangular prism that joins with the rectangular prism) = 2(lw) = 2(11)(5) = 110 ft²

Surface area of the complex figure = 222 + 470 - 110

Surface area of the complex figure = 582 ft².

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