Given
m2 ABD is a straight angle.
m ABC = 8x - 41°
mZCBD = 9x + 17°
Find m2CBD:
А
B
D

Givenm2 ABD Is A Straight Angle.m ABC = 8x - 41mZCBD = 9x + 17Find M2CBD:BD

Answers

Answer 1

Answer:

  ∠CBD = 125°

Step-by-step explanation:

The angle sum theorem tells you that ...

  ∠ABC +∠CBD = ∠ABD

  8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°

  17x -24° = 180° . . . simpify

  17x = 204° . . . . . . add 24°

  x = 12° . . . . . . . . . . divide by 17

Now the measures of the angles can be found from their expressions.

  ∠ABC = 8(12) -41° = 55°

  ∠CBD = 9(12) +17° = 125°


Related Questions

8x+2>34 Y’all know how to do this?

Answers

Answer:

x>4

Step-by-step explanation:

8x+2>34

8x+2-2>34-2

8x>32

8x/8>32/8

x>4

{x:x=4,5,6,7,8,9...}

Hope this helps ;)❤❤❤

Answer:

x>4

Step-by-step explanation:

trust

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours. On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip. Find the rate of the current

Answers

Answer:

1 mile/hr

Step-by-step explanation:

Let the Speed of the boat still in water = a

Speed of the current = b

We know from this formula that speed = distance/time

Hence,

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

Downstream = a + b = 15/3

a + b = 5 .........Equation 1

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.

Upstream = a - b = 15/5

a - b = 3 ..............Equation 2

Combining both Equation together

a + b = 5 .........Equation 1

a - b = 3 ..............Equation 2

Subtracting Equation 2 from Equation 1

2b = 2

b = 2/2

b = 1miles/hr

Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr

regina and sam are multiplying (8^4)^5 (7^3)^9
are either one of them correct? Explain your reasoning

Answers

Answer:

Sam is correct since he followed the rule of powers.

Reina is incorrect.

Step-by-step explanation:

Rule of a power raised to a power.

[tex] (a^m)^n = a^{mn} [/tex]

To raise a power to a power, multiply the powers.

Sam is correct since he multiplied the exponents correctly.

Sam is right, Regina is not

Warm-Up
Match the math vocabulary to parts of the expression w+ 5w. Two tiles will not be used.
Tiles
term
exponent
constant
expression
equation
variable
coefficient
Pairs
w2 + 5w
the win w2 + 5w
the 2 in w2 + 5W
the 5 in w2 + 5w
the w? or the 5w in w2 + 5w
Submit

Answers

Answer:

The w in w² + 5·w → Variable

The 2 in w² + 5·w → Exponent

The 5 in w² + 5·w → Coefficient

Step-by-step explanation:

1) The variable in an equation are the unknown values of the equation, and the values of the variables that meet the requirements of the equality are known as the solutions of the equations;

2) The exponent is the power to which a number or a variable is raised. It shows the number of times the variable or number multiples itself

3) The coefficient is the factor multiplying the variable in an equation or expression.

Answer:

w2 + 5w  →→→ Expression

The w in w² + 5·w  →→→ Variable

The 2 in w² + 5·w  →→→ Exponent

The 5 in w² + 5·w  →→→ Coefficient

the w? or the 5w in w2 + 5w →→→ Term

Step-by-step explanation:

i need help with this math problem??

Answers

Answer:

C

Step-by-step explanation:

.7

⅔= .666666

⅝=.625

65%= .65

.625<..65<.666<.7

The segments shown below could form a triangle,
A
С
9
7
16
С
A
A. True
B. False

Answers

Answer: the answer is false

Step-by-step explanation:

i just took the test :)

Answer:

This is false

Step-by-step explanation:

is Ronald correct because 80,000,000 + 6,200 = 142,000,000,000. yes or no

Answers

Answer: Yes

Step-by-step explanation:

???

Answer:

No.

Step-by-step explanation:

If we line up the digits we see that:

  80,000,000

+           6,200

= 80,006,200

1. A grocery store just received a shipment of 200 dozen eggs. If 12 eggs = 1 dozen, how many eggs did
the store receive?

Answers

Answer:

2400 eggs

Step-by-step explanation:

12*200=2400

2,400 eggs were received

Can you help me with 7&8?

Answers

Answer:

Q 7. First=33 Second=35 Third=37

Q 8. First=46 Second=48 Third=50

Step-by-step explanation:

Question 7. Find three consecutive odd integers whose sum if 105.

Let x=the first number (the smallest number)

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=105

x+x+2+x+4=105

3x+6=105

3x=99

x=33

First=33 Second=35 Third=37

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

Question 8. The sum of three consecutive even integers is 144. Find the numbers (I think so since you didn't took the whole picture)

Let x=the first number (the smallest number)

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=144

x+x+2+x+4=144

3x+6=144

3x=138

x=46

First=46 Second=48 Third=50

Hope this helps!! :)

Please let me know if you have any question

Mandy's science class counted the bones in an owl pellet.


How many more rib bones were there than skull and jaw bones combined?

Answers

Each of those bones pictures are equal to 2 bones. The question is asking, how many more rib bones than skull and jaw bones combined, so you’re gonna have to do some addition and subtraction.

You take the number of skull bones, which is 1(2), and add that to the number of jaw bones, which is 0. Giving you a total of 2 bones.

Then you are taking the rib bones 3(2) and finding out that you have 6.

So with that information, you can find out that there are 4 more rib more than skull and jaw bones combines (6-2=4)

what is 10+y,and 10+inf

Answers

Answer:

inf is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lydia guessed there were 180 jelly beans in a container.
There were actually 220 jelly beans in the container.
What was Lydia's percent error?

Answers

Answer:

18.18% error

Step-by-step explanation:

Use the percent error formula,

% error = | (measured - accepted) / accepted | x 100

Plug in the values we know:

% error = | (180 - 220) / 220 | x 100

% error = | - 0.18 | x 100

% error = 18.18% error

What is the equation of the line in slope-intercept form?

Answers

Answer: Slope - intercept form y = 1/7x - 1

Mr. Drew wants to build a square sandbox with an area of 361 square feet. What is the total length of the wood Mr. Drew needs make the sides of the sandbox

Answers

Answer:

The Sandbox must be 19x19 for the area to be 361.

Step-by-step explanation:

(19x19=361)

The length of the sandbox will be 19 feet.

What is the area of the square?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that Mr. Drew wants to build a square sandbox with an area of 361 square feet.

The length will be calculated by using the area formula for square;

Area of square = Length x width

Then the area of the square can be written as;

Area of square = ( Length )²

361=  ( Length )²

( Length ) = √361

( Length ) = 19feet

Therefore, the length of the sandbox will be 19feet.

To know more about an area of the square follow;

brainly.com/question/13389992

#SPJ2

Solve
82 - 21 + 10 = 61

Answers

Answer:

False

Step-by-step explanation:

82 - 21 + 10 = 61 is false 82 - 21 + 10 = 71

the answer is 71, i hope this helps

14. The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is __________.

Answers

Answer:

The range of the data is 19.

Step-by-step explanation:

To solve this problem, we must remember that to calculate the range, we subtract the smallest data point in the set from the largest data point.  In this case, the largest number is 25 and the smallest number is 6.

Therefore the range is:

25 - 6

= 19

Hope this helps!

Answer:

The range is 19

Step-by-step explanation:

6, 8, 16, 22, 8, 20, 7, 25 is

List the numbers from smallest to largest

6,  7,8,   8 ,16,20, 22,25

The range is the largest number minus the smallest number

25 - 6

19

The range is 19

Complete the following problem and round to the correct number of significant figures:
1.050 + 3.0 + 7.8000

Answers

11.85 which rounds to 12, 12 should be the correct answer

One morning, the temperature was -5 ferenhight. By noon, the temperature had increased 12 degrees. What was the temperature at noon? Use a model to explain your answer.

Answers

Answer:

[tex]Noon\ Temperature = 7F[/tex]

Step-by-step explanation:

Given

Initial Temperature = -5F

Change (by noon) = 12 degrees

Required

Determine the temperature at noon

The temperature by noon is calculated as thus;

[tex]Noon\ Temperature = Initial\ Temperature + Change[/tex]

Substitute values for Initial temperature and change

[tex]Noon\ Temperature = -5F + 12[/tex]

[tex]Noon\ Temperature = 7F[/tex]

Hence, the temperature at noon is 7F

The sum of twice a number and five is 13. Find the number.

Answers

4

let the number be x

so by the question , 2x+5=13

solving this we get ,

2x=13-5

2x=8

so x=4

Answer:

the number is 4

Step-by-step explanation:

let the number be ''x''

than twice the number will be 2x

now,

2x + 5 = 13

2x = 13 - 5  

2x = 8

x = 8/2    

x= 4

Triangle A’ B’ C’ is a dilation of ABC. What is AB?

Answers

The answer is C

The dilation of A’ B’ C’ is 2/3 the size of ABC

A car factory cuts sheets of metal that are two and ninety-eight thousandths meters long. How could you write the length of the sheets of metal in standard form?

Answers

Answer:

We can write it as: 298000 meters long

Can someone solve these two equations for me ?

Answers

Here is your answers worked out !

Which is the line shown in the figure?
A. line ac
b. line CE
c.line ae
d. line AB

Answers

Answer:

Line CE

Step-by-step explanation:

3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.

Answers

Answer:

Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

Step-by-step explanation:

In the given triangular birdcage, sides of the triangle are consecutive integers.

Let sides of the triangle are x, (x + 1), (x + 2) cm.

Perimeter of a triangle = Sum of all sides of the given triangle

114 = x + (x + 1) + (x + 2)

114 = 3x + 3

3x = 111

x = [tex]\frac{111}{3}[/tex]

x = 37

Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.

A grocer makes a graph of how many bananas are sold at different stores on Tuesday.

How many total bananas did the stores sell on tuesday?

Answers

Answer:

Step-by-step explanation:

Total of banana

symbols=4.5+6+3+2.5=16

total bananas=16×6=96

A 3% salt solution weighing 100g represents 100g of water in which 3g of salt is dissolved (=3/10). What amount of salt would be combined in 100g of a 14% salt solution? And how many grams of water are in the same solution?

Answers

Answer:

There would be 12 g of salt (12.3 g actually but rounded) and 88g of water (88.7 g actually but rounded)

Step-by-step explanation:

From the question, a 14% salt solution means 14g of salt in 100g of water.

What this means is that, the fraction of salt to water in the solution would be 14/100 which is same as 7/50

Now, we want to know the amount of salt and the amount of water in a 100g of 14% salt solution.

Looking at the ratio salt to water, we have 7 to 50

For every 50 parts of water, there are 7 parts of salt.

So the ratio of both is 7:50

For salt, the amount in grammes present will be ;

7/(50 + 7) * 100g = 7/57 * 100 = 12.3 g or 12g to the nearest whole number

The amount in grammes of water present will be ;

50/(50 + 7) * 100g = 50/57 * 100 = 87.7g or 88g to the nearest whole number

In 2003, a remote controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the airplane’s position at three different points during its flight. Point A represents Cape Spear, Newfoundland, point B represents the approximate position after 1 day, and point C represents Mannin Bay, Ireland. The airplane left from Cape Spear and landed in Mannin Bay. Find the total distance the model airplane flew. It flew miles. The model airplane’s flight lasted nearly 38 hours. Estimate the airplane's average speed to the nearest mile per hour. The average speed was about miles per hour.

Answers

Answer:

1883 mi is the total distance the model airplane flew.

the average speed is about 50 mi/h

Step-by-step explanation:

toilet paper is sold in cases of 36 rolls for 14.99 what is the price per roll (unite rate)

Answers

Answer:

0.42 per roll

Step-by-step explanation:

You divide 14.99 by 36 and get 0.4163888 (8 repeating) and you round up because it is money.

Which does not represent an integer?

Answers

Answer:

The answer is D

Step-by-step explanation:

Let's see all choices in detail

A . 0 it is correct because 0 is an integer

B .It seems like rational number but it is not simplified yet so -18 \ 2= -9

C .

[tex] \sqrt{9} = 3 \: so \: it \: is \: also \: integer[/tex]

D . 4\5 it is decimal so it is rational number not integer

I hope u like it

The population of Florida was 6.7 x 10^6 in 1970. The population increased to 2 x 10^7 in 2010. to the nearest whole number, how many times greater was the population in 2010 then in 1970?

Answers

Answer:

The population was 3 times greater in 2010 than in 1970.

Step-by-step explanation:

To find how many times greater the population was, you divide the population from 2010 by the population in 1970.

[tex]\frac{2*10^{7} }{6.7*10^{6} } = 2.985[/tex] ≈ 3

Hope this helps!

population was 3 times greater in 2010

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