If m ZABD = 83º, what are mZABC and m ZDBC?
3x+33° D
(Ex-6)°
B
mZABC = °

If M ZABD = 83, What Are MZABC And M ZDBC?3x+33 D(Ex-6)BmZABC =

Answers

Answer 1

Answer:

∠ ABC = 48°

Step-by-step explanation:

∠ ABC + ∠ DBC = ∠ ABD , that is

6x - 6 + 3x + 8 =  83

9x + 2 = 83 ( subtract 2 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°


Related Questions

which of the following is an improper fraction 1 DIVIDE 2 or 4 Divide 25 or 25 divide 7 of None of these

Answers

Answer:

25 divide 7

Step-by-step explanation:

hope this helps you

25÷7=25/7
∴25÷7 is an improper fraction

Hope my answer helped u :)

Can someone please help me with this ty!!

Answers

HoPe iT hElPeD YoU FrIeNd

The perimeter of a rectangular plot of land is 280 feet. If one of the sides of the rectangular plot is 50 feet in length, what is the length, in feet, of each of the longer sides of the plot?

Answers

Answer:

90 feet.

Step-by-step explanation:

2 sides are 50 feet long = 100 feet.

That leaves 280 - 100 = 180 feet.

So the length of the longer sides  are both 90 feet.

Given the function y = x2
22 – 10, what is the value of y when x = 5?

Answers

Answer:

coxkyxkyxoydoyd

Step-by-step explanation:

kysoydoyxlhxlhxohxoudyodgufudytdxgchjvgufychvjugfychgifuyfchuguffychjbohihfydtxgbjjbhcvjgujfjfjf

Plz help!! I’ll give brainliest!

Answers

The value of Y =8
The value of RS = 6(8)+3 which would be 51
The value of ST 5(8)+9 which would be 49

Find the output b when the input a is 6
B=-1 - 7a
B=

Answers

Answer:

-43

Step-by-step explanation:

If a = 6.

B= -1 - 7a. a=6. 7a=42

B = -1 - 42 = -43

write as a single fraction in it's simplest form:


[tex]x - 8 \div x + 3x \div x + 1[/tex]

Answers

Answer:

-8/3x

Step-by-step explanation:

-8 / 3x / 1

-8 / 3x

.....

..

PLEASE HELP ME FAST
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7

10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)

Answers

10. -2x^2-x-18
11. I’m not sure if you meant to put the x as the exponent for h(x) but if you did then the answer is 3x-20-4^x
12. 2x^2-x-18
Hope this helps but I’m sorry if it doesn’t!

Answer:

Number 11 I doubt the answer is right or wrong so I made 2 answers. If you know the answer please tell me, so I understand

2.5 ÷ 0.5

A 1.25
B. 2
C. 4.5
D. 5
E. 10

Answers

Answer

The answer is D. 5

Answer:

2.5/.5 = 5 Anything that is divided by 0.5 or 1/2 is double the number it's getting divided by. 2.5 doubled is 5

Step-by-step explanation:

24. The expression ax2 + bx + c takes the values 0, 1 and 4 when x takes the values 1, 2
and 3 respectively. Find the value of the expression when x takes the value 4.


Please solve it for me

Answers

Answer:

When x takes the value of 4, the expression takes the value of 9.

Step-by-step explanation:

We are given that the expression:

[tex]\displaystyle ax^2 + bx + c[/tex]

Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.

And we want to determine the value of the expression when x = 4.

The expression evaluates to 0 when x = 1. In other words:

[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]

We can complete the same for the other two:

[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]

This yields a triple system of equations:

[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]

Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:

[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]

Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:

[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]

Hence:

[tex]a = 1[/tex]

Solve for b:

[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]

And finally, solve for c:

[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]

Hence, our expression is:

[tex]\displaystyle x^2 -2x + 1[/tex]

Then when x = 4:

[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]

In conclusion, when x = 4, the resulting value is 9.

I need help urgent Please will give brainly

Answers

Answer:

The order you placed it in at first was correct.

Step-by-step explanation:

a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter

Answers

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?

Answers

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

Answer:

DF= DE+EF

9x–15 = (4x+10)+(2x-1)

9x–15 = 6x +9

9x–6x= 9+15

3x = 24

x=24/3

x=8

DF = 9x –15 = 9(8)–15= 72 –15 = 57

So; DF = 57

I hope I helped you^_^

Simplify (9m^5n^-7)
________ without negative exponents
27m^6n^5

Answers

Answer:

[tex]9m^5n^-7[/tex]  = [tex]\frac{ 9m^5}{n^ 7}[/tex]

Step-by-step explanation:

What is the product of 3x+4 and 6x^{2} −5x+7?

Answers

Step-by-step explanation:

[tex](6x^2-5x+7)(3x+4)[/tex]

[tex]=(6x^2-5x+7)(3x)+(6x^2-5x+7)(4)[/tex]

[tex]=(6x^2)(3x)+(-5x)(3x)+(7)(3x)+(6x^2)(4)+(-5x)(4)+(7)(4)[/tex]

[tex]=18x^3-15x^2+21x+24x^2-20x+28[/tex]

[tex]=18x^3+9x^2+x+28[/tex]

If a fair coin is tossed 6 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?​

Answers

Answer:

[tex] \displaystyle 0.344[/tex]

Step-by-step explanation:

we are given that a coin is tossed 6 times and we want to find the probability of getting at most 2 heads.

To solve this problem,we can consider binomial distribution, which is given by

[tex] \displaystyle P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} [/tex]

where:

P = binomial probabilityr = number of times for a specific outcome within n trials[tex]{n \choose r}[/tex] = number of combinationsp = probability of success on a single trialq = probability of failure on a single trialn = number of trials

we want to figure out the probability of getting at most 2 heads out of 6 trials , The probability can therefore be found by adding up all the binomial distributions including X=2 and less than it, Thus

[tex] \displaystyle P(X \leq 2) = P(X=0)+P(X=1)+P(X=2) [/tex]

[tex] \displaystyle P(X \leq 2) = \binom{6}{0} {p}^{0} {q}^{6 - 0} + \binom{6}{1} {p}^{1} {q}^{6- 1} + \binom{6}{2} {p}^{2} {q}^{6 - 2} [/tex]

when a coin is tossed, the probability of getting both head (success) and tail (failure) are ½ which is why ,the variables, p and q are assigned to ½. therefore substitute

[tex] \rm\displaystyle P(X \leq 2) = \binom{6}{0} { \left( \frac{1}{2} \right) }^{0} { \bigg( \frac{1}{2} \bigg) }^{ 6- 0} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{1} { \bigg( \frac{1}{2} \bigg) }^{6 - 1} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg)}^{2} { \bigg( \frac{1}{2} \bigg) }^{6- 2} [/tex]

since p and q are the same. it won't make any difference to write all the product of p and q as (½)⁶:

[tex]\rm\displaystyle P(X \leq 2) = \binom{6}{0} { \bigg( \frac{1}{2} \bigg) }^{ 6} + \binom{6}{1} { \bigg( \frac{1}{2} \bigg) }^{6} + \binom{6}{2} { \bigg( \frac{1}{2} \bigg) }^{6}[/tex]

In the expression the term (½)⁶ is common thus factor it out:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left( \binom{6}{0} + \binom{6}{1} + \binom{6}{2} \right) [/tex]

calculate the combinations:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(1+6+15\right) [/tex]

simplify addition:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{2}\bigg) }^{ 6} \left(22\right) [/tex]

simplify exponent:

[tex]\rm\displaystyle P(X \leq 2) = { \bigg(\frac{1}{64}\bigg) } \left(22\right) [/tex]

simplify multiplication:

[tex]\rm\displaystyle P(X \leq 2) = \frac{22}{64} [/tex]

dividing yields:

[tex]\rm\displaystyle P(X \leq 2) = 0.34375 [/tex]

[tex]\rm\displaystyle P(X \leq 2) \approx 0.344 [/tex]

In conclusion

The answer is 0.344

A scientist has 3^15 cells in a container. She expects the number of cells to triple in on day. How many cells will the scientist have after one day? Show your work or explain your reasoning

Answers

Answer:

3^16 cells

Step-by-step explanation:

The scientist has 3^15 cells. If we triple the number of cells, we multiply this amount by 3

3 * 3^15 = 3^1 * 3^15

Remember your laws of exponents: we add the exponents here.

3^(1+15) = 3^16

Can someone answer this!!!

Answers

Answer:

To South

Step-by-step explanation:

note the directions that are given on the left side

Answer:

यो त युनाइटेड स्टेट्स अफ अमेरिका हो।

Anyone know how to solve this?

Answers

Answer:

0,-5 is the marking if that's your answer to the question

Here are the awnsers

helpppp with geometry plzzz

Answers

Step-by-step explanation:

a) given slope=m1=4/b

parallel slope=m2=-8

when two lines are parallel their reltion of slopes is:

m1=m2

4/b=-8

b=-4/8

b=-1/2

b) m1=4/b , m2=3/4

when slopes are perpendicular their relation of slopes is:

m1×m2=-1

4/b × 3/4=-1

3/b=-1

b=-3

Note:if you need to ask any question please let me know.

what is a reasonable domain and range for this function

Answers

Answer:

plz describe whole question!!

Step-by-step explanation:

your question is incomplete

please provide a picture or the equation

Help guys please!!!

terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms

Answers

Answer:

Below,...!

Step-by-step explanation:

1 = Variable

2 = Exponent

3/4 = Coefficient

1. True

2. False

3. True

4. FaLSE

Diagram 6 shows a rectangle KLMN.

It is given that tan x = 0.8. Find the length, in cm, of LM.
A 16
B 20
C 24
D 26

HELP ME PLS​

Answers

Answer:

LM = 24 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle to find JL

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{10}[/tex] = 0.8 ( multiply both sides by 10 )

JL = 8

Then

LM = JL + JM = 8 + 16 = 24 cm

what is the area of a rectangle which is 7.2cm by 3cm

Answers

Answer:

21.6cm^2

Step-by-step explanation:

area = length * breadth

= 7.2 * 3 = 21.6

How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. O

Answers

I think it’s B I’m not to sure but I know someone with that exact solution

5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?

Answers

So the total amount before income taxes and FICA is 250$.

First, you find the amount after income tax which you can do by....

250$- 250$(5.65%)= 235.875= 235.87

or

250$(100%-5.65%)= 250$(94.35%)= 235.875=235.87$


Then apply the FICA
235.875$(100%-7.65%)= 217.83$

Net pay: 217.83$


Write your answer as a polynomial or a rational function in simplest form

Answers

Answer:

x²+5x

Step-by-step explanation:

You can make (f-g)(x) into (x) - (-x²-4x) because f(x)=x and g(x)=x²-4x

(x)-(-x²-4x) can simplify into x+x²+4x once you distribute the negative sign.

x+x²+4x simplifies into x²+5x.

So your final answer is x²+5x.

I hope it's right and this helps!


[tex]\sf\underline{Please \: help \: me!}[/tex]

Answers

Answer:

I HOPE THE ABOVE PHOTO WILL HELP YOU A LOT.

2x + 3y = 10

[tex]\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} [/tex]

[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]

If x is 2

Then ,

2x + 3y = 10

2(2) + 3y = 10

4 + 3y = 10

3y = 10 - 4

3y = 6

y = 6/3

y = 2

If y is 0

Then ,

2x + 3y = 10

2x + 3(0) = 10

2x + 0 = 10

2x = 10

x = 10/2

x = 5

If x is 8

Then ,

2x + 3y = 10

2(8) + 3y = 10

16 + 3y = 10

3y = 10 - 16

3y = -6

y = -6/2

y = -3

_______________________

3x - y = 4

[tex]\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} [/tex]

[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]

If x is 2

Then ,

3x - y = 4

3(2) - y = 4

6 - y = 4

-y = 4 - 6

-y = -2

If y is 2

Then ,

3x - y = 4

3x - 2 = 4

3x = 4 + 2

3x = 6

x = 6/2

x = 3

If x is 4

Then ,

3x - y = 4

3(4) - y = 4

12 - y = 4

-y = 4 - 12

-y = -8

In the expression "4f + s", the letter "s" is: *

Answers

Answer:

Step-by-step explanation:

A variable

What is the distance between (-2,4) and (0,2)

Answers

Answer:

(-2,6)

Step-by-step explanation:

I took the test

Answer: sqrt 8 = 2 sqrt2

Step-by-step explanation:

d = sqrt [(0–2)^2+(2-4)^2]

= sqrt (2^2 + -2^2)

= sqrt 8

Simplify: 2 sqrt2

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during a load test, a battery's voltage drops below a specific value. what action should the technician take?A. Recharge and retest.B. Allow battery to become fully discharged and retest.C. immediately replaceD. None if above 100 POINTS PLS HELP!!!!!!!!!!!Simplify the expression. 3 + 22 5 7 10 25 . Cathy is playing a game with a set of 52 cards. The cards are differentcolors and each show a number. The probability of randomly selecting a black card is. The probability of randomly selecting a red card is.If Cathy randomly selects a card, what is the probability that her card isblack OR red? 100 POINTS! PLEASE ANSWER ONLY IF YOU KNOW Find the probability of landing in the shaded region of the figures below. Round your answer to the nearest hundredth. the graph of f(X)=sin(x) is transformed to a new function g(x) by straching it vertically by a factor of 2 and shifting it 3 units up. What is the equation of the new function g(x)? -3 5/9 as a fraction Which numbers are 9 units from 5 on this number line?Drag and drop the two numbers that are 9 units from 5 to their correct position on the number line. pls ans question c and d The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places) why is the base of the kettle made of plastic not metal? Calculate the area of the triangle.Note: Think about which side to use as the base. True or falseEvery element emits a unique set of light wavelengths, and scientists can use these light fingerprints to determine what kind of atoms are in stars and nebulas. The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is()( )no spamming symbol what makes living in california different from living in alaska or texas New ideas based on an older Chinese system of beliefs that taught people should be concerned with their good behavior in this world as well as the afterlife.a. Daoism b. Legalism c. Neo-Confucianism d. Zen Buddhism life runs in a cycle way and the young of today are the old of tomorrow clarify The line passing through points (5,) and (2,3) is parallel to a line with a slope of 4/3. What is the value of y? What type of insurance consists of federal and state government health programs (e.g., Medicare, Medicaid, SCHIP, TRICARE) made available to eligible individuals? name two obtuse vertical singles Which requires large computer memory?