State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

[tex]\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})[/tex].

Therefore, the expected value of the winnings from a game is

[tex]\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})[/tex].

Answer: -29.9x+37.6

Step by step answer: Use PEMDAS rule

−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Use the distrubitive property

-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Reorder/group x's and whole numbers

-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52

-11.8x-6.3x-5.5x-6.3x+41.12-3.52

-18.1-5.5x-6.3x+41.12-3.52

-23.6x-6.3x+41.12-3.52

-29.9x+41.12-3.52

-29.9x+37.6

Answer:

<N=<T

<P=<Q

<O=<R

<M=<S

Step-by-step explanation:

they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.

Answer:

y = 75x + 650

So I think it's linear.

Answer:

4xp-9

Step-by-step explanation:

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

The value of n in the equation (3√7)^5 = 7^n is 5.32288

In the given equation (3√7)^5=7^n, n is solved as follows

(3√7)^5 = 7^n

= (3√7)^5 = 7^n

7.937253933^5 = 7^n

31502.96087 = 7^n

take ㏑ of both sides

㏑ 31502.96087 = n ㏑ 7

divide through by ㏑ 7

n = ㏑ 31502.96087 / ㏑ 7

n = 5.32287517

the value of n is 5.32288

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Answer:

x=120

Step-by-step explanation:

this is obtained by finding 22% of x, and equating it to the answer as shown below

x *22/100 = 26.4

22x/100 = 26.4

22x = 2640

x =120

Answer:

i think the answer would be 20

If f(n) = f(n - 1) + 4, then

f(n - 1) = f(n - 2) + 4

and substituting this into the first equation gives

f(n) = f(n - 2) + 2•4

Similarly,

f(n - 2) = f(n - 3) + 4

so that

f(n) = f(n - 3) + 3•4

and so on.

Note the pattern:

f(n) = f(n - k) + k•4

so that when k = n - 1, we have

f(n) = f(n - (n - 1)) + (n - 1)•4

or

f(n) = f(1) + 4 (n - 1)

so that

[D] f(n) = -2 + 4 (n - 1)

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

Answer:

26.2

Step-by-step explanation:

Answer:

$3.16

Step-by-step explanation:

0.6+0.08n

Since n represents photocopies, then we replace n with 32.

0.6+0.08(32)

Now we multiply.

0.6+2.56

Finally, add.

0.6+2.56=3.16

So, Clayton will have to pay $3.16 to make 32 photocopies.

-hope it helps

Answer: A

It is a function and no x values repeat .  If the x values repeat more than then it's not a function.

Answer:

< greater than

Step-by-step explanation:

u need to turn each one into decimals than find out which ones greater that's how you'll get your answer

Answer: The answer would be D

Answer:

188.571

if you did directly answer may differ

Step-by-step explanation:

you can see it from the picture above

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

The diameter of the cylinder, d = 10 inches

The height of the cylinder, h = 12 inches

The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.

So, the length of the rectangle, l = 12 inches.

The breadth of the rectangle, b = 10 inches

The formula for the area of the rectangle is A= l × b

⇒ [tex]A=12[/tex] × [tex]10[/tex]

⇒ [tex]A=120[/tex]

Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.

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Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = x - 1 ← equation of line

Answer:

D. The wait time will be about 2 mins.

Step-by-step explanation:

You have to substitute the x into the equation as we know it is 10.

So, y = (-1.62 × 10) + 18.

Thus, y = -16.2 + 18.

Then, y would equal 1.8.

Therefore you would round to the nearest minute which would be 2.

Hope this helps :)

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]

[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]

[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]

[tex]\mathrm{Combine\: like\: terms}[/tex]

[tex]x+8=5\left(2x+4\right)-3[/tex]

[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]

[tex]x+8=10x+17[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]x+8-8=10x+17-8[/tex]

[tex]x=10x+9[/tex]

[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-10x=10x+9-10x[/tex]

[tex]-9x=9[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]

[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]

[tex]\bold{x=-1}[/tex]

Answer: I don’t know :(

Step-by-step explanation:

Answer:

8

Have an amazing day!

Answer:

x = 80 degrees

Step-by-step explanation:

Draw a line through DG and name the intersection of that line and line AB as K.

By the same side interior angle theorem, GKC is 40 degrees.

By the sum of interior angles of triangle theorem, CGK is 180-70=110 degrees.

By supplementary angle theorem, x = 80 degrees.

Answer:

42 ice creams in a waffle cone

Step-by-step explanation:

First we try to find how many ice cream does Mr. Moore has:

4*15=60 ice cream

It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.

Answer:

90.95

Step-by-step explanation:

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Given the system of equation;

This equation can be represented in matrix form as [tex]AX = b[/tex]

where:

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

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Answer:

Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.

Answer:

integration is the opposite of differentiation

Step-by-step explanation:

integration requires addition of 1 to the power and then division by the value eg

the integral of

[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]

while in differentiation, u subtract one and multiply by the value. eg

the differential of

[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]

Answer:

≈ 0.9 cm²

Step-by-step explanation:

I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.

F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.

Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,    

F(x,2)

(2-3) / (x-1) = -2/3            

2x-2 = 3       x = 2.5          

*F (2.5 , 2)

G (3,y)

(y-3) / (3-1) = -2/3     y = 5/3      

*G (3 , 5/3)

*point I (3 , 2)

segment FI = 3-2.5 = 0.5 = 1/2

segment GI = 2 - 5/3 = 1/3

area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083

area of polygon  DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²

Answer:

a=54.15 and b=14

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.

Now, solve for x.

[tex]\mathfrak{215+70+2x+13x=360} [/tex]

[tex]\mathfrak{285+15x=360} [/tex]

[tex]\mathfrak{15x=360-285} [/tex]

[tex]\mathfrak{15x=75} [/tex]

[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]

[tex]\underline{\mathfrak{x=5}} [/tex]

So,

2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]

13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]

[tex]\mathbb{MIREU} [/tex]

Answer:

20 inches

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2\\15^2 + b^2 = 25^2\\225 + b^2 = 625\\b^2 = 400\\b = \sqrt{400} \\b = 20[/tex]

Answer:

6

Step-by-step explanation:

66

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

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