1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work 20 points

Answer:

Step-by-step explanation:

5^2=.25

1^2=1

-1^2=-1

Answer:

Its the C graph

Step-by-step explanation:

[tex] \frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c[/tex]

simplified form =

[tex] \frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c[/tex]

Answer:

(-18,4) is 16 units below (-18,20). hope this helps

Step-by-step explanation:

- Zombie

Answer:

They can be arranged 6 times

Step-by-step explanation:

Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.

Hello :D

To do this you need to add the cost of the violin and the song book.

$72.21 + $7.25 = $79.46

$100 - $79.46 = $20.54

The answer is $20.54. I hope this helps :)

Answer:

Integers

Step-by-step explanation:

Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning

[tex]\\ \sf\longmapsto 4x+3x-5+2x+1=23[/tex]

[tex]\\ \sf\longmapsto 7x+2x-5+1=23[/tex]

[tex]\\ \sf\longmapsto 9x-4=23[/tex]

[tex]\\ \sf\longmapsto 9x=23+4[/tex]

[tex]\\ \sf\longmapsto 9x=27[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{27}{9}[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

First, we know that the perimeter in total is 23. So, we need to make sure that all of the sides combined are 23. The equation becomes:

3x - 5 + 2x + 1 + 4x = 23

Let's simplify this.

3x + 2x + 4x - 5 + 1 = 23

Simplify again.

3x + 2x + 4x - 5 + 1 = 23

5x + 4x - 5 + 1 = 23

9x - 5 + 1 = 23

9x - 4 = 23

Now we have the simplified equation of 9x - 4 = 23. Now we must solve for x.

9x - 4 (+ 4) = 23 (+ 4)

9x = 27

9      9

x = 3

Now we can see that x = 3, which should be our answer. To make sure, let's plug it into the equation.

[3(3) - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + 12 = 23

4 + [6 + 1] + 12 = 23

4 + 7 + 12 = 23

11 + 12 = 23

23 = 23

As you can see, we got the answer 23 = 23. That indeed means that x = 3. Hope this helps!

Answer:

3(x+5)

hope it helps you

Step-by-step explanation:

Objective; Translating points

A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.

Algebracially:

[tex](x + h)[/tex]

where h is the amount of units we move right or left

and

[tex](y + k)[/tex]

where k is the amount of units we move up or down

For 1. We are asked to translate the figure 3 units up and 7 units to the left.

7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is

Our new coordinates

E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).

2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.

So our new coordinates is

T' (1,3)

U' (4,3)

V'(4,5)

W'(1,5)

Answer: -$28

Step-by-step explanation: Since Monique has $12, then she subtracts $40 from that. 12 - 40 = -28.

Hope this helps!

Answer:

Standard form: [tex]4x + 3y = 18[/tex]

x-intercept:  [tex](\frac{9}{2} ,0)[/tex]

y-intercept: [tex](0,6)[/tex]

Graphed:

Answer:

1/2

Step-by-step explanation:

3 is half of 6  so the smallest term would be 1/2.

[tex] - 4a - (8a + 1) = - 169 \\ \\ 4a + 8a + 1 = 169 \\ \\ 4a + 8a = 169 - 1 \\ \\ 12a = 169 - 1 \\ \\ 12a = 168 \\ \\ a = \frac{168}{12} \\ \\ a = 14 \\ \\ this \: was \: helping \: you[/tex]

Step-by-step explanation:

Okay so remember the BODMAS rule where u start with brackets right; Since we're proving that RHS =LHS ,we look at the side which is more complicated and solve it first.

RHS: -4a-(8a+1) =-169

-4a-8a-1=-169

-4a-8a= -169+1 ( N:B like terms)

-12a= -168

-12a/-12= -168/-12

a= 14

Then go back to the original equation and subtitute .

where u see a u put the value u calculated.

-4a-(8a+1)=-169

-4(14)-(8(14)+1)= -169

-169= -169 and u DONE!!

Answer:

6x^2-4x-10

Step-by-step explanation:

Do you need to show work?

Prime factorization is shows you the only way a number can be factored.

Here are some examples:

6 = 2 x 3

(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.

Here are some more examples:

12 = 2 x 2 x 3

45 = 5 x 3 x 3

now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;

Factor out 42.

first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:

42 = 6 x 7

Is this equation done?

No it is not, 6 can still be factored.

What two numbers get you the product of 6?

they are 3 and 2.

Now the final factored out equation looks like this:

42 = 3 x 2 x 7

----------------------------

I hope this helps!

Hope it a right answer for you

Answer:

Removing the number 7 wont change the median nor the range

Answer:

10.2ft

Step-by-step explanation:

2^2 +10^2=√104

=10.198

~10.2

Answer:

a. y = -3

b. x = -3

c. z = - 1

d. y = -7

Step-by-step explanation:

a. 5y - 3 = - 18

5y = -18 +3

5y = -15

y = -15/5

y = - 3

b. -3x - 9 = 0

-3x = 9

x = 9/-3

x = -3

c. 4 + 3(z-8)= -23

4 + 3z-24 = -23

3z - 20 = -23

3z = -23 + 20

3z = -3

z = -3/3

z = - 1

d. 1 - 2(y-4) = 5

1 - 2y + 8 = 5

9 - 2y = 5

-2y = 14

y = 14/-2

y = -7

A is true: 1 > 0, and f (1) = 1² - 1 = 0.

B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.

C is false: 4 > 0, and f (4) = 4² - 1 = 15.

D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.

Answer:

y=95

Step-by-step explanation:

17x5=85

180-85=95

y=95

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.

∠1 = ∠3

5x° = 85°

x = 85° / 5

x = 17°

Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,

∠1 + ∠2 = 180°

5x + y = 180°

Substitute the value of x,

5(17°) + y = 180°

85° + y = 180°

y = 180° - 85°

y = 95°

Hence, the value of x and y is 17 and 95, respectively.

The complete question is mentioned below.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

#SPJ2

The degree of a polynomial is the value of the highest degree of a monomial in the polynomial

The degree of the polynomial h(x) is 5

The reason the above value is correct is as follows;

Given;

A zero of a polynomial function h(x) is the imaginary number, x = 3 - 4·i

The multiplicity of the root at x = 3 - 4·i is One

The given table showing the real roots of the polynomial is presented as follows;

[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{h(x)}\\\displaystyle -5&&0\\-2&&3\\-1&&0\\1&&2\\4&&0\\7&&6\\10&&0\end{array}\right][/tex]

Required:

To find the degree of the polynomial, h(x)

Solution:

The maximum number of roots of a polynomial is given by the degree of the polynomial

The number of roots is given by the number zeros

The maximum number of roots an nth degree polynomial can have = n roots

From the given table, the number of zeros = 4 (each with multiplicity of one) = The number of real roots

Therefore, the total number of roots of the polynomial = 4 + 1 = 5 = The (minimum possible) degree of the polynomial

The degree of the polynomial = 5

Learn more about degree of a polynomial here:

https://brainly.com/question/2706981

Answer:

m= 1/10

Step-by-step explanation:

1. Move the terms so that will be 3m - 2m=-1/2 + 3/5

2. Subtract the m values so that will be 3m - 2m= 1 or m

3. Calculate the sum.

4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.

Answer:

Step-by-step explanation:

3m - 3/5 = 2m - 1/2

3m - 2m = 3/5 - 1/2

m = 0.1

8) v = -3

9) m = 4

Explanation:

8)

[First distribute the factored terms on the left side of the equation]

2(v + 4) + 3(4v + 5) = -19 →

2(v) + 2(4) + 3(4v) + 3(5) = -19 →

2v + 8 + 12v + 15 = -19 →

[Next, add the like terms together]

(2v + 12v) + (8 + 15) = -19 →

14v + 23 = -19 →

[Subtract 23 from both sides to isolate the constant term]

14v + 23 – 23 = -19 – 23 →

14v = -42 →

[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]

14v / 14 = -42 / 14 →

v = -3

9)

[Start by distributing the factored term on the left side of the equation]

2(m – 1) = 10 – m →

2m – 2 = 10 – m →

[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]

2m – 2 + m = 10 – m + m →

3m – 2 = 10 →

[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]

3m – 2 + 2 = 10 + 2 →

3m = 12 →

[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]

3m / 3 = 12 / 3 →

m = 4

Answer:

136 miles

Step-by-step explanation:

Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.

Let x = number of miles.

The total cost is the cost per mile plus the base fee.

1 mile costs $0.90

2 miles cost $0.90 * 2

x miles cost $0.90 * x, or simply 0.9x

The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95

The equation

c = 0.9x + 16.95

gives you the cost, c, for a rental of x miles.

We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.

139.35 = 0.9x + 16.95

Switch sides.  

0.9x + 16.95 = 139.35

Subtract 16.95 from both sides.

0.9x = 122.4

Divide both sides by 0.9

x = 122.4/0.9

x = 136

Answer: 136 miles

Answer: 8.5 miles

Step-by-step explanation:

Given information

Base fee = $3.00

Fee per mile = $2.00

Distance = x

Total money spend = $20

Set equation

3 + 2x = 20

Subtract 3 on both sides

3 + 2x - 3 = 20 - 3

2x = 17

Divide 2 on both sides

2x / 2 = 17 / 2

[tex]\boxed{x=8.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Step-by-step explanation:

Answer:

-5/14 (change 2/7 to 4/14 and it’ll help)