Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve for x and z ~

[tex]\qquad \sf  \dashrightarrow \: z + 68 = 180[/tex]

[ they form co - exterior angle pair ]

[tex]\qquad \sf  \dashrightarrow \: z = 180 - 68[/tex]

[tex]\qquad \sf  \dashrightarrow \: z = 112 \degree[/tex]

now, it's time for x :

First angle z is equal to its vertical opposite angle, and then that angle forms co - interior angle pair with (3x - 28)

[tex]\qquad \sf  \dashrightarrow \: 3x - 28 + 112 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x + 84 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 180 - 84[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 96[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 96 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 32 \degree[/tex]

That's all... let me know if you have questions ~

Answer:

3

Step-by-step explanation:

Answer:

n = 10

Step-by-step explanation:

let the number be n , then

45 - 3n = n + 5 ( subtract n from both sides )

45 - 4n = 5 ( subtract 45 from both sides )

- 4n = - 40 ( divide both sides by - 4 )

n = 10

Methods of describing a set involve using a roster or set-builder notation to outline it.

The two methods of describing a set are:

Roster method describes a set by listing all its elements, separated them by commas and enclosed within brackets.

Set- builder notation method describes a set by describing its elements using mathematical statements

Therefore, methods of describing a set involve using a roster or set-builder notation to outline it.

Learn more about sets here:

https://brainly.com/question/2166579

#SPJ1

Distribute

Add the numbers

Combine like terms

Distribute

3(x + 2) - 9x +5

3x + 6 - 9x + 5

Add the numbers

3x + 6 - 9x + 5

3x + 11 - 9x

Combine like terms

3x + 11 - 9x

6x + 11

Sarah charges $6.00 for one bracelet.

We know that a collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.

Let Sarah charges $x and $y for one bracelet and one ring respectively.

Since her first customer spends $48 on 3 bracelets and 10 rings, we can write it as

3x + 10y = 48 ...(1)

Since her second customer spends $54 on 7 bracelets and 4 rings, we can write it as

7x + 4y = 54 ...(2)

Now, we have to solve this system of linear equations.

Multiplying (1) by 2, 6x + 20y = 96 ...(3)

Multiplying (2) by 5, 35x + 20y = 270 ...(4)

Subtracting (3) from (4), 35x + 20y - 6x - 20y = 270 - 96

i.e. 29x = 174

i.e. x = 174/29 = 6

Therefore we can conclude that Sarah charges $6 for one bracelet. Option B is correct.

Know more about the system of linear equations here -

https://brainly.com/question/27664510

#SPJ10

A cylinder is a 3D shape having two circular faces.

The answer is Figure A

The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The complete question is;

"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters.  It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"

The volume of the triangular prism;

[tex]\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm[/tex]

Hence, the height of the base will be 15 cm.

To learn more about triangular prisms refer to:

https://brainly.com/question/16261758

#SPJ1

Answer:

missing side lengths are

leg 1 is 4√2

leg 2 is 4√2

hypotenuse is 8

Step-by-step explanation:

leg 1 is y

leg 2 is 4√2

45-45-90 right triangle means

legs are equal

the longest side is the hypotenuse which is

x

pythagorean theorem =

a² + b² = c²

a and b are the legs

c is hypotenuse

(4√2)² + (4√2)² = c²

4√2 = √16*2 = √32

(√32)² + (√32)² = c²

32 + 32 = c²

64 = c²

take the square root of both sides

√64 = √c²

8 = c

c = 8

Each pizza cost $ 12.65

An Equation is used in determination of unknown variables in an expression .

It is given that

Brian ordered 3 large cheese pizzas and a salad.

The salad cost $4.95

Total amount spend = $47.60

Tip = $5

The amount spend in food is $ 47.60-5

= $42.60

Let the price of Pizza is x then the equation that can be formed to determine the price of pizza is

3x + salad = 42.60

3x + 4.95 = 42.60

3x = 37.65

x = $12.65

Therefore each pizza cost $ 12.65

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

Answer:

12.55

Step-by-step explanation:

Answer:

True

9 * 7 = 63

Therefore when x=7 9x=63

The equation given is true since 7 is the solution.

An equation is the statement of two expressions located on two sides connected with an equal to sign.

The two sides of an equation is usually called as left hand side and right hand side.

The given equation is 9x = 63.

There is only one variable here, x.

We have to solve this equation and find whether the solution is 7 or not.

Solution of the equation is the value of x.

9x = 63

Divide both sides of the equation by 9, then, we get,

9x / 9 = 63 / 9

9 gets cancelled in the left hand side and 63/9 = 7.

So we get,

x = 7

So the given statement is true that for 9x = 63, the solution is x = 7.

Hence the given equation is true.

Learn more about Solving Equations here :

https://brainly.com/question/19297665

#SPJ2

Answer: (C) r² = (x+5)²+(y-4)²

Solution:-

The given endpoints are (-7,1) and (-3,7)

so the center will be at the mid point of the line connecting these two points.

hence, center ={ (-7+-3)/2, (1+7)/2 }

hence, C= (-5,4)

so, the equation of the circle is:-

⇒ (x-(-5))²+(y-4)²=r²

or, (x+5)²+(y-4)²=r²

Answer:

245 +4.9m = 2000

Step-by-step explanation:

so 245 is what he has and he puts it where he gets 2 percent monthly so 4.9 is 2 percent of 245. 2000 is there because that's how much he wants to save.

The domain of the graph is {x : x∈ R}

The domain of a function or graph is the set of input values the function can take.

This in other words represents the x values

From the graph, we can see that x values extend indefinitely on both axes.

This is indicated by the arrows at the ends of the curve

This means that the domain is the set of all real numbers

Hence, the domain of the graph is {x : x∈ R}

Read more about domain at:

https://brainly.com/question/1770447

#SPJ1

Answer:

about this question the sequence of the pattern is according to the table of 12.

Step-by-step explanation:

Table of twelve is.

12

24

36

48

then the answer will be 60

Answer:

I think the answer is 4

Step-by-step explanation:

The Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.

Unpaid balance:

Unpaid balance=Previous balance-Payments/credits

Unpaid balance=$179.32-$85.00

Unpaid balance= $94.32

Finance charge:

Finance charge =Finance charge×Monthly rate

Finance charge=$94.32×1.25%

Finance charge=$1.179

New balance:

New balance =Previous balance-(New purchases-Payments/credits)+Finance charges

New balance=$179.32-($117.42-$85.00)+$1.179

New balance=$179.32-$32.42+$1.179

New balance=$148.079

Therefore the Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.

Learn more about finance charge here:https://brainly.com/question/3436429

#SPJ1

Answer:

94.32

1.18

212.92

in order

Step-by-step explanation:

Answer:

4.2 pints

Step-by-step explanation:

3.5 × 1.2 = 4.2

Answer: 4.2 pints

Answer:

f(x)=5000(1+0.05)^x

Step-by-step explanation:

Use the formula: f(x)=P(1+b)^x

P is principal or y-intercept. 5000 is principal.

b is the percentage in decimal form. 0.05 is b.

x is time, in this case years. Since there is not a certain number of years leave x as x.

f(x)=5000(1+0.05)^x

Hope this helps!

If not, I am sorry.

Step-by-step explanation:

tan 30 degre = perpendicular /base

I wrote the rule than you can easily find hope this help you

Using 3 different methods, we can find that YZ = 25m

The complete image of a triangle is attached with the answer below.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations

sin(θ) = (opposite cathetus)/H

cos(θ) =(adjacent cathetus)/H

tan(θ) =(opposite cathetus)/(adjacent cathetus)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent cathetus

YZ = opposite cathetus.

We want to find YZ, so with the known things, we can use the first relation:

Sin 30 = YZ / 50

YZ = 50 x Sin30 = 25 meters

Now let's try another way.

We know that the sum of the internal angles of a triangle is always equal to 180°

In a triangle rectangle, we always have an angle equal to 90°.

Then the missing angle for our triangle can be computed from:

Z + 90° + 30° = 180°

Z = 180° - 90° - 30° = 60°

From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:

Cos 60 = YZ / 50

YZ = 50 x Cos 60 = 25 meters

Third way.

Whit the same angle we could find the side XY, the opposite cathetus, with:

Sin 60 = XY / 50

XY = 50Sin 60 = 43.3 meters

Now that we know one of the catheti, we can use the last trigonometric relation

tan 60 = XZ / YZ = 43.3 / YZ

YZ = 43.3 / tan 60 = 25 meters

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer:

At the end of the multi step problem

Step-by-step explanation:

The square root of √9.9225. is 315.

See the decimal places

therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.

Hence the sum, is (31.5+3.15)= 34.65.

Answer- Value- 315

Sum-34.65

If you can can i get a brain list i don't ever get them

Answer:

the middle of the shape

Step-by-step explanation:

The value of TY is 14

Given that CD is the perpendicular bisector of XY and ST and CY = 16

We need to find the value of TY

Here M is the midpoint of ST  and D is the midpoint of XY

As shown in the diagram we can say that

CT = CS =12

We can also say that ST║XY

So , ∠CST = ∠CSY

∠CTS = ∠CYX

ΔSCT = ΔXCY

SX = CS - CX

= CY - CX

We can say that MT = SM = 5

DY = DX = 7

TY = SX = 4

CY = CX = 16

ST = SM + MT

ST= 5+5

∴ ST= 10

XY = XD +DY

XY = 7+7

∴ XY = 14

Hence the value of XY is 14

Learn more about Perpendicular bisector here https://brainly.com/question/11006922

#SPJ10

Answer:

y+2= -4(x-8)

Step-by-step explanation:

Answer:

  £105

Step-by-step explanation:

The pay is proportional to the time, so working 18/12 = 3/2 times as long will gain the gardener 3/2 times the pay:

  3/2 × £70 = £105

He would get paid £105 for an 18-hour job.

__

Here are a couple of other solution methods.

  pay/hours = ?/(18 hours) = £70/(12 hours)

Multiplying by 18 hours, we get ...

  ? = £70×(18 hours)/(12 hours) = £70×(18/12)

  ? = £105 . . . . pay for 18 hours

He would get paid £105 for 18 hours.

__

The equation for a directly proportional relationship is ...

  y = kx

If we let y represent pay and x represent hours, then we have ...

  70 = k(12)   ⇒   k = 70/12 = 35/6

Then for 18 hours, the pay is ...

  y = (35/6)x

  y = (35/6)(18) = 35(3) = 105

He would get paid £105 for 18 hours.

Answer:

vertex = (h, k )

Step-by-step explanation:

the standard form of an absolute value function is

f(x) = a | x - h | + k

where (h, k ) are the coordinates of the vertex