Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.

Answer:

3(−x+2)(x+7)

Step-by-step explanation:

Factor −3x2−15x+42

−3x2−15x+42

=3(−x+2)(x+7)

Answer:

(x,y)=(5-2y,y), y belongs to all real numbers

Step-by-step explanation:

x=5-2y

3x=15-6y

3(5-2y)=15-6y

15-6y=15-6y

y∈All Real Numbers

(x,y)=(5-2y,y), y∈All Real Numbers

Answer: Idk

Step-by-step explanation:

I really don't know

Answer:

-2 over -2

Step-by-step explanation:

because you have rise over run and if you gave -2 over -2 you would write it as just -2

Answer:

-2

Step-by-step explanation:

The equation for this case is y=mx+b

In this case the m or slope is -2

Answer:

Step-by-step explanation:

The given function is

[tex]h(x)=-x^{2} +6x+16[/tex]

Where [tex]x[/tex] is the number of burgers and [tex]h[/tex] the measure of happiness.

To find the maximum burgers needed to reach the maximum happiness, we just need to find the vertex of this function, which is defined as

[tex]V(h,k)[/tex] where [tex]h=-\frac{b}{2a}[/tex], and [tex]b=6[/tex], [tex]a=-1[/tex], replacing these values, we have

[tex]h=-\frac{6}{2(-1)}=3[/tex]

[tex]k=f(3)=-(3)^{2} +6(3)+16=-9+18+16=25[/tex]

Therefore, there are needed 3 burgers to reach the maximum measure of happiness of 25.

Using the maximum function relation, the maximum number of cheeseburgers to be consumed would be 25

Given the function :

The function is maximum at [tex] \frac-{b}{2a}[/tex]

b = 6 ; a = - 1

Hence, we have :

[tex] x = \frac-{6}{2(-1)} = 3 [/tex]

Substitute x = - 3 into the function :

h(-3) = - (3)² + 6(3) + 16

h = - 9 + 18 + 16

h = 25

Therefore, the maximum number of cheeseburgers to be tanken would be 25

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Answer:

108

Step-by-step explanation:

[tex]V=8*1.5*9=108[/tex]

Answer:

C - 108

Step-by-step explanation:

i just did it on edge 2020 i hope it helps :)

Answer:

x = 9

Step-by-step explanation:

To solve these problems, you first set up an equation representing the information given.

6x = x² - 27

This turns into a quadratic equation which you need to factor out.

0 = x² - 6x - 27

You want to choose two numbers that multiply to -27, and add up to -6

0 = (x - 9)(x + 3)

If you're unfamiliar with factoring, you take the opposite sign of the number in the parentheses because it's a shortcut when setting it equal to 0.

x = 9, -3

Since it asks for the positive solution only, the answer is x = 9.

I hope this helps!

Answer:

5 dozen Donuts

7 dozen bagels

Step-by-step explanation:

5 * 9 = 45

7 * 8 = 56

56 + 45 = 101

Answer: He bought 5 dozen donuts

Step-by-step explanation:

d + b = 12   where d is the number of donuts and b is the number of bagels.

9d + 8b= 101  now solve the two equations using the elimination method

-9d - 9b =-108

9d  + 8b = 101

        -1b = -7

  b = 7

9d + 8(7)= 101

9d + 57 = 101

9d = 45

d= 5

Answer:

25 cents or $0.25

Step-by-step explanation:

1.25 + 2x = 0.50 + 5x

0.75 = 3x

x = 0.25

Answer:

Step-by-step explanation:

1. V= length*width*height

96 = 6.0*3.2*h

96=19.2h divide both sides by 19.2

height =5 cm

2. V=l*w*h

22 = l*2.0*1.1

22=l*2.2

l= 10 cm

3. V= L*w*h

120 = 12.0*w*4.0

120=48*w

w= 2.5 cm

Answer:

(32, 16)

Step-by-step explanation:

Since the scale factor is 4, you always multiply both coordinate places (x and y) by this number.

The coordinates of one of the new vertices is (32, 16). Therefore, option D is the correct answer.

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

Given that, rectangle with vertices A(-6, 4), B(8, 4), C(8, -2) and D(-6, -2).

Here, the scale factor is 4

So,

(-6,4)  by a scale factor of 4(-6, 4)=(-24, 16)

(8, 4)  by a scale factor of 4(8, 4)= (32, 16)

(-6, -2) by a scale factor of 4(-6, -2)= (-24, -8)

(8, -2) by a scale factor of 4(8, -2)= (32, -8)

Therefore, option D is the correct answer.

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Answer:

1 plus 1 is 2

Step-by-step explanation:

If you can download this app and type this question, I am pretty sure you can figure it out

Answer:

1+1=2

1+1=2

1+1=2

1+1=2

1+1=2

1+1=2

1+1=2

Answer:

The equation has infinite solutions

Step-by-step explanation:

Linear equations can have zero, one or infinite solutions.

If Emma tested two values (3 and 5) for the same equation and they were both true solutions, this means that the equation has more than one solution.

If a linear equation has more than one solution, than the equation has infinite solutions.

Answer:

a

Step-by-step explanation:a because its interst7s

Answer:

A.

Step-by-step explanation:

line A never intersects line B

Answer:

The length of the hypotenuse is 30 feet

Step-by-step explanation:

Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.

For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.

Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Mathematically;

let’s say the hypotenuse is length h feet

h^2 = {15√(2)}^2 + {15√(2)}^2

h^2 = (225 * 2) + (225 * 2)

h^2 = 450 + 450

h^2 = 900

h = √(900)

h = 30 feet

Answer:

30 feet

Step-by-step explanation:

Answer:

250 pounds

Step-by-step explanation:

405 ÷ 1.62 = 250pounds

Answer:

£250

Step-by-step explanation:

$405 ÷ 1.62 = £250

Answer:

15.94 meters

Step-by-step explanation:

11/0.69 = 15.942.......

Round it to get 15.94

Answer:

10.3

Step-by-step explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\tan X = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{4.8}

tanX=  

adjacent

opposite

​  

=  

4.8

x

​  

\tan 65=\frac{x}{4.8}

tan65=  

4.8

x

​  

4.8\tan 65=x

4.8tan65=x

Cross multiply.

x=10.2936\approx \mathbf{10.3}\text{ feet}

x=10.2936≈10.3 feet

Type into calculator and round to the nearest tenth of a foot.

X

Y

Z

4.8

10.3

(adjacent to ∠X)

(opp. of ∠X)

(hypotenuse)

65°

Answer:

25%

Step-by-step explanation:

Answer:

  15

Step-by-step explanation:

Write an equation expressing the given relationship. Solve it to find the numbers.

__

Let x represent "another number." Then the number I'm thinking of is ...

  (3x -3)

and the product of that and "the other number" is 90:

  x(3x -3) = 90

  x(x -1) = 30 . . . . . . divide by 3

We know the factors of 30 are ...

  30 = 30·1 = 15·2 = 10·3 = 6·5

Of these factor pairs, the numbers that differ by 1 are 6 and 5. "The other number" is 6, and "my number" is 90/6 = 15.

My number is 15.

Answer:

[tex]672m^2[/tex]

Step-by-step explanation:

[tex]A=2(wl+hl+hw)=2*(12*12+8*12+8*12)=672m^2[/tex]

Answer:

Let the angles be (a-d), a , (a+d)

a-d + a + a + d = 180 (angle sum property)

3a = 180

a = 60

Given:

a+d = 2(a-d)

60 + d = 2(60 - d)

60 + d = 120 - 2d

3d = 120 - 60

d = 20

Angles are : 40 , 60 , 80

Answer:

The answer is [tex]6a^2[/tex].

Step-by-step explanation:

Solve:

[tex](-2a)(-3a)[/tex]

Multiply [tex]a[/tex] and [tex]a[/tex] :

[tex](-2a)(-3a)[/tex]

[tex]-2a^2(-3)[/tex]

Multiply [tex]-2[/tex] and [tex]-3[/tex] :

[tex]-2a^2(-3)[/tex]

[tex]6a^2[/tex]

So, the final answer is [tex]6a^2[/tex].

Answer:

r = 6

Step-by-step explanation:

The equation is 3r + 18=6 + 5r. First, you have to get the coefficient on one side because it will be easier to solve. In order to do so, I subtract 3r from both sides. The equation is now 18=6 + 2r. The next step is to get the constant which is 6 to the left side. You subtract 6 from both sides. You are left with 12=2r. All you have to do now is to get r alone. In order to do that you have to divide both sides by 2. The answer would be 6. Hope you find this helpful!

Answer:

Step-by-step explanation:

The set C could be generated by an exponential function. The main reason is that exponential functions hava a restricted range, it can't have negative numbers or the number zero, because power can only be equal or greater than 1.

Additionally, for all exponentials, a null exponent gives 1 as an answer, so point (0, 1) is always present in an exponential function.

Therefore, the right answer is C.

The set of ordered pairs could be generated by an exponential function is C. (negative 1, one-half), (0, 1), (1, 2), (2, 4)

An exponential function simply means a relation that's in the form of y = ax².

In this case, the set of ordered pairs could be generated by an exponential function is (negative 1, one-half), (0, 1), (1, 2), (2, 4). It has a restricted range.

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Answer:

i think it is the 3rd one though i am not sure sorry

Step-by-step explanation:

if it is not the 3rd one then it is the 1st one

Answer:

5/2 or it's 5/11

Step-by-step explanation:

(-5/6)/-2= 5/12

(5/12)/(1/6) = 5/2

because if your writing it like

[tex](-5/6)/-2\frac{1}{6} = \frac{5}{11}[/tex]

Answer:

0.38461538461

Step-by-step explanation:

Answer:

$2.72

Step-by-step explanation:

If the price decreased by 20%, the final price will be 100% - 20% = 80% of the inicial price.

So, we can write the ratio box:

                              Old value      New value

Percent value:       100%             80%

Value:                    $3.40             X

Then we can solve with a rule of three:

100% -> $3.40

80% -> X

X = 0.8 * 3.4 = $2.72

Answer:

The cost after the 20% decrease is $2.72

Step-by-step explanation:

Here, we are trying to calculate the cost of a 10-minute call before there was a decrease in the amount charged for the call.

We proceed mathematically as follows,

To calculate percentage decrease, we can employ the formula;

(old value- new value)/old value * 100%

Here our old value or cost was $3.40 and the percentage decrease is 20%

we plug these values;

Let the new cost it value be x

(3.4-x)/3.4 * 100 = 20

100(3.4-x) = 20 * 3.4

340 - 100x = 68

100x = 340 -68

100x = 272

x = 272/100

x = $2.72

Answer:

Pls mark me brainlest i dont know what this is but i can try to do my best

Step-by-step explanation:

pls