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

Answer:

mike spent 6 dollars, each pen cost 2$

Answer:

3/4

Step-by-step explanation:

1/4 + 1/4 + 1/4 =3/4

or

1/4 x 3 = 3/4

Answer:

3/4 feet

Step-by-step explanation:

the common denominator (4) always stays the same.

you add the 3 pieces.

Answer:

x=8

Step-by-step explanation:

Angle bisector means it cute the big angle into two equal, smaller angles (like cutting a piece of cake in half)

therefore, you can set both smaller angles equal to each other, then solve for x

4x+1=33   Subtract 1 from both sides

4x=32      Divide both sides by 4

x=8

You'll get it, keep studying! :)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

x = 256

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{32} = 8 \\----------\\\rightarrow (\frac{x}{32})32 = 8 * 32\\\\\rightarrow \boxed{x = 256}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

the present age of the father be x and the present age of the son be y.

It is given that man is 24 years older than his son that is:

x=y+24

x−y=24..........(1)

Also, 12 years ago, he was five times as old as his son that is:

(x−12)=5(y−12)

x−12=5y−60

x−5y=−60+12

x−5y=−48..........(2)

Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get

(x−x)+(−5y+y)=−24−48

i.e. −4y=−72

i.e. y=18

Substituting this value of y in (1), we get

x−18=24

i.e. x=24+18=42

Hence, the present age of the father is 42 years and the present age of the son is 18 years.

Step-by-step explanation:

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

[tex]131 +x=180[/tex]

[tex]131-131=0[/tex] (cancels itself out)

[tex]180-131=49[/tex]

[tex]x=49[/tex]

Therefore, the measure of ∠8 is 49°.

Answer:

h = 22  for Rachel

Step-by-step explanation:

20 + h = 42

h = 42 - 20

h = 22

hope you found it helpful.

Answer:

it's say download FPD SORRY I CAN'T SLOVE IT

Answer:51.33ft/s

Step-by-step explanation:Just look at how many seconds are in a hour and divide by that

Answer:

no solution

Step-by-step explanation:

x + 6 cannot be x so there is no solution. hope this helps

Answer:

No solution

Step-by-step explanation:

[tex]x + 6 = x \\ x - x = 6 \\ 0 = 6[/tex]

Answer:

C ≥ 8

the absolute value of the variable c is greater than or equal to 8

Step-by-step explanation:

Interpreting the inequality, it is found that the correct option is given by F.

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

In standard form, the equation of the line is:

[tex]x + 2y = 6[/tex]

[tex]2y = 6 - x[/tex]

[tex]y = -0.5x + 2[/tex]

Thus it is a decreasing line, which removes options J.

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

[tex]3x^2 + 3y^2 = 12[/tex]

[tex]3(x^2 + y^2) = 12[/tex]

[tex]x^2 + y^2 = 4[/tex]

[tex]d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}[/tex]

[tex]d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1[/tex]

A similar problem is given at https://brainly.com/question/16505684

Answer: h=-42

Step-by-step explanation:

8=7x2/7 + -h/7

8=7x2-h/7

8=14-h/7

8=-h+14/7

7x8=7(-h+14/7)

7x8=-h+14

56=-h+14

56-14=-h+14-14

42=-h

42/-1=-h/-1

h=-42

Answer:

450+120w

will be the expression

Equation: 450+120w = x

Answer:

-2

Number Line:

                   1   2  3  4  5                                                        

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answer:

dude it is too easy bro -2 I don't really like math but the answer is -2 so goodluck

Step-by-step explanation:

-7+5=?

count but start from -7 instead like this

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

now we just count from -7  

-7 -6 -5 -4 -3 -2

how much five not subtract add you are going up this time so good luck

here a number line too.

                                              < -10 -9 -8 -7 -6 -5 -4 -3 -2 -1    0    1 2 3 4 5 6 7 8 9 10 >

Answer:

1. 9.576

2. 17.442

3. 45.29

4. 79.294

5. 30.736

6. 30.8

7. 31.5

8. 25.85

9. 53.29

10. 49.184

11. 15.18

12. 15.573

13. 17.075

14. 74.06

15. 9.01

Step-by-step explanation:

Use a multiplication method to find the answers. I would put it up here but i dont know how.

Answer:

10,010,011,001

Step-by-step explanation:

Converting the number 10010011001 into a number with commas gives us 10,010,011,001.

Given that,

The number is 10010011001.

Used the concpet of number system which states that,

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.

Here, the number is 10010011001.

So, it can be written as,

10010011001 = 10,010,011,001

Therefore, the number 10010011001 with commas would be 10,010,011,001.

To learn more about the Number system visit:

https://brainly.com/question/17200227

#SPJ6

Answer:

2x+7

Step-by-step explanation:

3x +(-x) = 3x - x, so it's 2x

12 + (-5) is the same situation, just being 12 - 5, so it's 7.

putting them together leaves you with 2x+7

Answer:

Haha great question, Maybe because people will not understand the difference between the fruit and the color.

Coordinates of B is [tex](\frac{4}{11} ,\frac{13}{11} )[/tex] that divides AC five-sixths of the way from A to C

Given :

AC with A(4.-7) and C(-4, 11), if point B divides AC five-sixths of

the way from A to C

From the given information , B divides AC internally in the ratio of AB to BC is 5:6

Lets apply section formula to find coordinates of B

[tex](\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]

m:n is the ratio 5:6

A is (x1,y1) that is (4,-7)

B is (x2,y2) that is (-4,11)

Substitute the values inside the formula

[tex](\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )\\(\frac{(5)(-4)+6(4)}{5+6} ,\frac{5(11)+6(-7)}{5+6} )\\(\frac{4}{11} ,\frac{13}{11} )[/tex]

Coordinates of B is [tex](\frac{4}{11} ,\frac{13}{11} )[/tex]

Learn more:  brainly.com/question/22493969

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!

6 to 12 months so the answer is 12

Probabilities are used to determine how likely it is for an event to happen.

(1) A roll of two dice

Let the dice be A and B. The sample space of each is:

[tex]A = \{1,2,3,4,5,6\}\\B = \{1,2,3,4,5,6\}[/tex]

To get the sample space (S) of the sum of the dice, we simply add up the individual element of both dice. So, we have:

[tex]S = \{(1+1),(1+2),(1+3),(1+4),(1+5),(1+6),.............,(6+1),(6+2),(6+3),(6+4),(6+5),(6+6)\}[/tex]

This gives

[tex]S = \{2,3,4,5,6,7,.............,7,8,9,10,11,12\}[/tex]

The complete sample space is:

[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12\}[/tex]

[tex]n(S) = 36[/tex] --- the total outcomes

The probability of rolling a sum of 7 is:

[tex]P(7) = \frac{n(7)}{n(S)}[/tex]

Where

[tex]n(7) = 6[/tex] ---- number of 7's in the sample space

So, we have:

[tex]P(7) = \frac 6{36}[/tex]

[tex]P(7) = 0.167[/tex]

The probability of rolling a sum of 7 is 0.167

(2) Restaurant

We have:

[tex]Soup = \{A,B,C,D\}[/tex]

[tex]Salads = \{1,2,3\}[/tex]

To get the sample space (S), we simply pick the individual elements of the above data. So, we have:

[tex]S = \{A1, A2, A3,B1, B2, B3,C1, C2, C3,D1, D2, D3\}[/tex]

(3) Disjoint events

Events are said to be disjointed if they cannot happen at the same time. 3 examples are:

(4) Bob and Sarah

Let

[tex]A \to[/tex] Bob gets to work on time

[tex]B \to[/tex] Sarah gets to work on time

[tex]P(A) = 80\% \\ P(B) = 90\%\\P(A\ n\ B) = 72\%[/tex]

The probability that Bob OR Sarah is late for work is represented as:

[tex]P(A'\ or\ B')[/tex]

This is calculated using:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

Where:

[tex]P(A') = 1 - P(A) = 1 - 80\% = 20\%[/tex]

[tex]P(B') = 1 -P(B) = 1 - 90\% =10\%[/tex]

[tex]P(A\ n\ B') = P(A) \times P(B') = 20\% \times 10\% = 2\%[/tex]

So, we have:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

[tex]P(A'\ or\ B') = 20\% + 10\% - 2\%[/tex]

[tex]P(A'\ or\ B') = 28\%[/tex]

[tex]P(A'\ or\ B') = 0.28[/tex]

The probability that Bob OR Sarah is late for work is 0.28

(5) Jake's Pizza

Let

[tex]A \to[/tex] The proportion of time they deliver on time

[tex]B \to[/tex] You get your pizza for free

So:

[tex]P(A) = 92\%[/tex]

You get your pizza for free if they didn't deliver within 30 minutes.

This means that:

[tex]P(B) = 1 - P(A)[/tex] --- Complement rule

So, we have:

[tex]P(B) = 1 - 92\%[/tex]

[tex]P(B) = 0.08[/tex]

The probability that you get your pizza for free is 0.08.

(6) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

So:

[tex]P(A) = 54\%[/tex]

If all 3 selected students like soccer, the probability is calculated as:

[tex]Pr = P(A) \times P(A) \times P(A)[/tex]

[tex]Pr = P(A)^3[/tex]

[tex]Pr = 54\%^3[/tex]

[tex]Pr = 0.157[/tex]

The probability that all 3 selected students like soccer is 0.157

(7) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

[tex]B \to[/tex] Probability that a student does not like soccer

So:

[tex]P(A) = 54\%[/tex]

[tex]P(B)= 1 - P(A)= 1 - 54\% = 46\%[/tex] ---- Complement rule

If all 4 selected students do not like soccer, the probability is calculated as:

[tex]Pr = P(B) \times P(B) \times P(B) \times P(B)[/tex]

[tex]Pr = P(B)^4[/tex]

[tex]Pr = 46\%^4[/tex]

[tex]Pr = 0.045[/tex]

The probability that all 4 selected students do not like soccer is 0.045

(8) Marbles

[tex]Blue = 6 \\ Green = 4 \\ Red = 5[/tex]

When the green marble is selected, we are left with

[tex]Blue = 6 \\ Green = 3 \\ Red = 5[/tex]

The probability of selecting a red marble at this point is:

[tex]P(Red) = \frac{Red}{Blue + Green + Red}[/tex]

[tex]P(Red) = \frac{5}{6+3+5}[/tex]

[tex]P(Red) = \frac{5}{14}[/tex]

[tex]P(Red) = 0.357[/tex]

The probability that the next marble you draw is red is 0.357

(9) Studying for test

Let

[tex]A \to[/tex] Students got an A

[tex]B \to[/tex] Students studied for test

So:

[tex]P(A\ n\ B) = 60\% \\ P(B) = 75\%[/tex]

The probability that a student got an A given that they studied for the test is  represented as:

[tex]P(A | B)[/tex]

So, we have:

[tex]P(A | B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

[tex]P(A | B) = \frac{60\%}{75\%}[/tex]

[tex]P(A | B) = 0.80[/tex]

The probability that a student got an A given that they studied for the test is  0.80

Read more about probabilities at:

https://brainly.com/question/16693319

Answer:

Yeah you can mark them brainlist but just saying you can always use math-ways i guess.

Bye have a nice day