For lines c, d and e, m<1=90° and m<3=90°

For the given diagram and angle measures, use complete sentences to describe each pair of lines as parallel or perpendicular. In your description, include the special angle relationship between angles 1 and 3.
a. lines d and e.
b. lines d and c.
​

Remember that a dime is worth 10 cents and a quarter is worth 25 cents and $4.60 is 460 cents.

Let D = the number of dimes and Q = the number of quarters.

Now let's translate the English into math. . .

there are 28 coins in all--> D + Q = 28  so D = 28 - Q

they are worth 460 cents--> 10D + 25Q = 460

Now substitute 28-Q for D--> 10(28-Q) + 25Q = 460

280 - 10Q + 25Q = 460

Combine like term. . .

15Q = 180

Divide both sides by 15--> Q = 12

So D = 16

Answer:

12

Step-by-step explanation:

D=dimes Q=quarters

D+Q=28 so D=28-Q

460=10D+25Q

substitute 28Q for D

10(28-Q)+25Q=460

280-10Q+25Q=460

combine like terms

15Q=180

divide both sides by 15 so Q= 12 and D=16

(I believe this is the correct answer)

Answer:

[tex] \frac{ {8x}^{3} - 30x + 21 }{2(2x - 3)} [/tex]

Step-by-step explanation:

1) Factor out the common terms 2.

[tex] \frac{8x^{3} - 30x + 21}{2(2x - 3)} [/tex]

Therefor, the answer is 8x³ - 30x + 21 / 2 ( 2x - 3 ).

Answer:

 8x3 - 30x + 21

————————

   2 • (2x - 3)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".

                   8x3 - 30x + 21

Simplify   —————————

                         4x - 6  

Pull out like factors :

  4x - 6  =   2 • (2x - 3)

Find roots (zeroes) of :       F(x) = 8x3 - 30x + 21

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  8  and the Trailing Constant is  21.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4 ,8

of the Trailing Constant :  1 ,3 ,7 ,21

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        43.00    

     -1       2        -0.50        35.00    

     -1       4        -0.25        28.38    

     -1       8        -0.12        24.73    

     -3       1        -3.00        -105.00    

Note - For tidiness, printing of 27 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Polynomial Long Division

Dividing :  8x3 - 30x + 21

                             ("Dividend")

By         :    2x - 3    ("Divisor")

dividend     8x3      -  30x  +  21

- divisor  * 4x2     8x3  -  12x2        

remainder         12x2  -  30x  +  21

- divisor  * 6x1         12x2  -  18x    

remainder          -  12x  +  21

- divisor  * -6x0          -  12x  +  18

remainder                 3

Quotient :  4x2 + 6x - 6

Remainder :  3

Answer:        8x3 - 30x + 21

                    ————————

                        2 • (2x - 3)

Answer:

88 on either side

Step-by-step explanation:

Answer:

1,2

Step-by-step explanation:

all you have to do is plug in the values for their respective variables and solve accordingly. we have to try all answer choices to make sure we have the right one. we first plug 1,2 into the equation which gives us 2(1)-2=0. then we multiply 2 and 1, which is 2, so now we have 2-2=0. we know that 2-2=0, so we now know that the first answer choice is the correct one.

Answer:1,2

Step-by-step explanation:took thd test and got it right

Answer: log3 (216)

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

trust mee

Answer:

x = 109

Step-by-step explanation:

75 + 45 + y = 180

120 + y = 180

y = 60

60 + 79 + z = 180

z + 139 = 180

z = 41

41 + 68 + a = 180

109 + a = 180

a = 71

x + a = 180

x + 71 = 180

x = 109

Answer:

Ello, estoy aquí para ayudar, pero hablo español, con suerte, entenderás que lo estoy intentando.

56738w7421098548091672949123749279102

Step-by-step explanation:

Answer:

-189

Step-by-step explanation:

Answer:

9% increase

Step-by-step explanation:

Given :

17% increase :

Let initial percentage = 100%

17% increase means :

100% + 17% = 117%

Followed by 8% decrease :

117% - 8% = 109%

Hence, the final percentage = 109%

To represent the total change as a single percentage change :

Change = final percentage - Initial percentage

Change = 109% - 100%

Change = 9%

This is a 9% increase

Answer: I think it would be 3.5

Step by Step Explanation: BRAINLIEST?!?

Answer:

5/12 < 0.48

Step-by-step explanation:

YOU WELCOMMEEEEE

Answer:

0.48 Is bigger

Step-by-step explanation:

5/12= 0.417 -

0.48  0.41

7 difference

Answer:

8cm

Step-by-step explanation:

is the same size as 8 cm so its 8cm

Answer:

[tex]x(x-3)(x+2)[/tex]

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=x[/tex]

2. Factor out the GCF and simplify.

[tex]x(x^{2} -x-6)[/tex]

3. Factor [tex]x^{2} -x-6.[/tex]

Which two numbers add up to -1 and multiply to -6?

-3 and 2

Rewrite the expression using the numbers above.

[tex](x-3)(x+2)[/tex]

4. Done!

[tex]x(x-3)(x+2)[/tex]

Answer:

-3√64, 6√64, -3√-64, √64

Answer:

The discount percentage is 45%.

Step-by-step explanation:

To be able to determine the discount percentage, you can use the following formula:

Discount percentage=(final price-original price/original price)*100

Original price=80

Final price=44

Now, you can replace the values in the formula:

Discount percentage=(44-80/80)*100

Discount percentage=-45%

According to this, the answer is that the discount percentage is 45%.

Answer:

4) 120π cm^2

5) 56π cm^2

6) 32π cm^2

Step-by-step explanation:

Surface Area of Cylinder = 2π[tex]r^{2}[/tex] + (2πr)(height)

(will use variable h for height)

4)

diameter = 8 cm

r = 0.5(diameter) = 0.5(8) = 4 cm

height = 11 cm

2π[tex]4^{2}[/tex] + (2π)(4)(11)

= 2π(16) + 2π(44)

= 32π + 88π

= 120π cm^2

5)

diameter = 8 cm

r = 0.5(diameter) = 0.5(8) = 4 cm

height = 6 cm

2π[tex]4^{2}[/tex] + (2π)(4)(6)

= 2π(16) + 2π(12)

= 32π + 24π

= 56π cm^2

6)

diameter = 6 cm

r = 0.5(diameter) = 0.5(6) = 3 cm

height = 7 cm

2π[tex]3^{2}[/tex] + (2π)(3)(7)

= 2π(9) + 2π(7)

= 18π + 14π

= 32π cm^2

Answer:

its the 4th answer

Step-by-step explanation:

Answer: 21 miles

Step-by-step explanation:

Here's the remainder of the question:

Write an equation to determine the distance in miles x between the airport and Ann's home.

We are informed that the taxi fare was $2.10 per mile, and she gave the driver a tip of $5 Ann paid a total of $49.10, this can be expressed into an equation as:

(2.10 × x) + 5 = 49.10

2.10x + 5 = 49.10

2.10x = 49.10 - 5

2.10x = 44.10

x = 44.10 / 2.10

x = 21

The distance between the airport and Ann's home is 21 miles.

Answer:

t = 8 - 1/12d

Step-by-step explanation:

tell me if this is wrong

Answer:

17

Step-by-step explanation:

if you need the direction it is downward on a graph or along the y-axis

hope this helps :)

Answer:

x= 37

Step-by-step explanation:

[tex]12^2+35^2=x^2\\144+1225= x^2\\1369=x^2\\\sqrt{1369} =\sqrt{x^2} \\x= 37[/tex]

Answer:

I think it's 34.12 inches

Step-by-step explanation:

Use the Phythagorean Theorem, because bisecting a rectangle using the diagonal will produce 2 triangles. The diagonal represents the hypotenuse of the triangle so to solve for it you'd use the formula c² = a²+b²

The quadrant in which the angle θ lies when sin θ > 0 and cos θ < 0 will be

in the second quadrant

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

Given data ,

Let the angle be θ

Now , the sin of the angle θ is positive and cos of the angle θ is negative

The equation is given as

sin θ > 0 and cos θ < 0

And , from the trigonometric relations , we know that

In the first quadrant, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sin is positive.

In the third quadrant going anti-clockwise, only tan is positive.

In the fourth quadrant going anti-clockwise, only cos is positive

So , in the second quadrant only sin is positive and all the other trigonometric relations are negative

Therefore , the quadrant where sin θ > 0 and cos θ < 0 will be in the second quadrant

Hence , The quadrant in which the angle θ lies when sin θ > 0 and

cos θ < 0 will be in the second quadrant

To learn more about trigonometric relations click :

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Answer:

960

Step-by-step explanation:

1200 is the total price that she sold it for, that is the 100%

the 20% of 1200 is 240

so 1200-240 = 960

Answer:

83

Step-by-step explanation:

f(x)= -3(-25)+8=83

The value of the variable is "x = 11" when f(x) = -25 for the given function f(x) = -3x+8.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

To determine x when f(x) = -25 for the function f(x) = -3x+8, you will need to solve the equation -3x+8 = -25 for x.

To do this, you can follow these steps:

Begin by isolating the x term on one side of the equation. To do this, you can add 3x to both sides of the equation to get -3x+3x+8 = -25+3x.

Simplify the left side of the equation by combining like terms to get 8 = -25+3x.

Subtract 8 from both sides of the equation to get 0 = -25+3x - 8.

Add 25 to both sides of the equation to get 33 = 3x.

Divide both sides of the equation by 3 to get x = 33/3 = 11.

Therefore, x = 11 when f(x) = -25 for the function f(x) = -3x+8.

Learn more about the function here:

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Answer: b

Step-by-step explanation:

12,060 divided by 48 equals 251.25