In ΔBCD, \overline{BD} BD is extended through point D to point E, \text{m}\angle CDE = (9x-12)^{\circ}m∠CDE=(9x−12) ∘ , \text{m}\angle BCD = (2x+3)^{\circ}m∠BCD=(2x+3) ∘ , and \text{m}\angle DBC = (3x+5)^{\circ}m∠DBC=(3x+5) ∘ . Find \text{m}\angle BCD.M∠BCD.

Answers

Answer 1

Answer:

Angle BCD is 13 degrees

Step-by-step explanation:

Here, we want to find the measure of angle BCD

To get this, we need an appropriate diagram. The diagram can be seen in the attachment.

To find the value of BCD, we can use an important triangle theorem.

This is that the sum of opposite interior angles of a triangle equals the exterior angle.

Thus, we have that;

BCD + DBC = CDE

hence;

3x + 5 + 2x + 3 = 9x-12

5x + 8 = 9x -12

9x-5x = 8 + 12

4x = 20

x = 20/4

x = 5

So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13

In BCD, \overline{BD} BD Is Extended Through Point D To Point E, \text{m}\angle CDE = (9x-12)^{\circ}mCDE=(9x12)
Answer 2

Answer:

13°

Step-by-step explanation:

just solved on delta math


Related Questions

16+6×(4 exponent -1)

Answers

Answer:

17.5

Step-by-step explanation:

Which of the following gives an equation of a line that passes through the point (3.-) and is
parallel to the line that passes through the origin and point (-2, -12)?

Answers

Answer:

A goes through the points

Step-by-step explanation:

For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?

(A) 250 yards

(B) 300 yards

(C) 350 yards

(D) 400 yards

(E) 450 yards

Answers

Answer:

(C) 350 yards

Step-by-step explanation:

From available information

Mean = 790

1 running back = 1637 yards

Standard deviation above mean = 2.42

Using formula

z =( x - mean)/sd

2.42 = (1637-790)/sd

2.42 = 847/sd

We cross multiply

2.42sd = 847

Divide through by 2.42

Sd = 847/2.42

Sd = standard deviation = 350

So our answer is 350 and therefore option c.

Can someone explain this to me!!! Will give the brainliest!!!!

Answers

Answer:

88 degrees

Step-by-step explanation:

First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).

Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.

We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.

Translate the sentence into an inequality.
The sum of a number times 10 and 16 is at most 28.
Use the variable c for the unknown number.

Answers

Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

what is 0.3% of 3.7%? round to the nearest hundredth

Answers

i got .000111 ... if right make me brainliest

A printing machine produces labels.Four percent of the labels produced are defective.Suppose 372 labels were defective.
how many labels are not defective?

Answers

Answer:

8928

Step-by-step explanation:

If 4% is 374, what is 1%? so 374/4

374 = 4%

93 = 1%

Now if 4% is defective, how many is not defective?

100% - 4% = 96%

If 1% is 93 then what is 100%?

8928 = 96%

There were 8,928 labels are not defective.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that labels are created using a printing press. Four percent of the labels that are created are inaccurate.

Let the total number of labels would be x

As per the question, 372 labels were defective.

So 4% of x = 372

⇒ 4x/100 = 372

⇒ x = 37,200/4

⇒ x = 9,300

Since 4% is defective labels,

So labels are not defective: 100% - 4% = 96%

Now, we have to calculate the evaluation of 96% of 9,300.

⇒ (96/100)9,300

⇒ (0.96)9,300

⇒ 8,928

Therefore, there were 8,928 labels are not defective.

Learn more about the percentages here:

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SOMEONE PLEASE HELP I NEED THE SOLUTION TO ALL OF THESEE PLEASE HELP!!!!

Answers

Answer:

The answer is below

Step-by-step explanation:

Let's work it out slowly

A)

$18.79 + $2.11 - $1.92 + $17.28

- 18.79 + 2.11 + 17.28 = 38.18

- 38.18 - 1.92 = 36.26

Ans = $36.26

B)

$7.45 + $24.45 + $74.17 + $76.52

- 7.45 + 24.45 = 31.9

- 74.17 + 76.52 = 150.69

- 150.69 + 31.9 = 182.59

Ans = $182.59

C) $98.45 - $10.63 + $2.82 - $20.26

- 98.45 - 10.63 - 20.26 = 67.56

- 67.56 + 2.82 = 70.38

Ans = $70.38

Hope you understand

:-)

The answer to A is $40.1
The answer to B is $-19.35
The answer to C is $70.38
Hope this helps.

Simplify the algebraic expression. 4(x - 3) + 2(x + 5)​

Answers

Answer:

6x+2

Step-by-step explanation:

4(x-3)+2(x+5)

4x-12+2x+10| Distrubutitive Property

6x-2 | Combine like terms


A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?

Answers

Answer:

4 Hours.

Step-by-step explanation:

If the run 11 miles in a hour, then do 11 times as many hours.

11 x 4 = 44.

The formula for the volume of a rectangular prism is v=Iwh which is the equivalent equation solved for h

Answers

Answer:

6x^3+39x^2+59x

Step-by-step explanation:

Question 4 of 5
Which statement correctly describes the expression 19.3?
A. Both factors are positive, so the product will be positive.
B. One factor is positive and one factor is negative, so the product
will be positive.
C. Both factors are positive, so the product will be negative.
D. Both factors are negative, so the product will be positive.
SUBMIT

Answers

Answer:

Step-by-step explanation:

a

f(x) = square root x-3
g(x) = x^2 +3

Use composition to verify whether the functions are inverses of each other. If the functions are inverses, what is f(g(x))?

A) The functions are not inverses of each other.

B) The functions are inverses. f(g(x)) = 1

C) The functions are inverses. f(g(x)) = x^2

D) The functions are inverses. f(g(x)) = x

Answers

I think the answer is c

could someone please answer these 3 questions?? ty :))

Answers

Answer:

1. -12     2. you get -      3.  -6

Step-by-step explanation:

Well hope that makes sense. Please heart.

12 plus -12 is 0. -3 plus 2 is -1 or -.      -4 plus -2 is -6.

You add -12 to 12 to make it zero.

If you have - - -  and add  +  +  you get  -1.

If you have - - - -  and add - -  you get -6.

What is the first step you would take solving for k in 4k + 12 = -28

Answers

Answer:

The first step I would take is subtract 12 from both sides.

Step-by-step explanation:

i hope this helps!

What are the slope and the equation for the graph?

Answers

Answer:

Slope= 2/3, Equation= y=2/3x+2

Step-by-step explanation:


What do the differences between the points (as shown on the graph) represent?
Please answer

Answers

Answer:

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

They represent the rise and run of the graph.  

The difference between the x-axis of the points represents the" run" of the graph( or how  important you should run along x-axis to get to the coming point.)  The difference between the y- axis of of the points represents the" rise" of the graph( or how  important you should rise up the y- x is to get to the coming point).  

The  rate of rise to run is the slope of the graph, which tells us how  numerous  way should we take on the y- axis for every step we move forward on the x-axis.

To know more about slope of the graph visit:

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hey can anyone pls answer dis math question rq!

Answers

Answer:

9 inches

Step-by-step explanation:

Original size = 6 ftScale factor = 1/8

Clone = original * scale factor

Clone size

6 ft*1/8 = 3/4 ft

Converted to inches

1 ft = 12 in3/4 ft = 3/4 * 12 in = 9 in

What is a rational number and how do you know?

Answers

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

Jamie's car gets 33.5 miles per gallon. How many miles can he travel on 16 gallons?

Answers

Answer:

536  Gallons

Step-by-step explanation:

If you multiply 33.5 times 16 you will get your answer

Please put brainliest.

ADRIENNE BIKED 24 MILES IN 4 HOURS. IF SHE BIKED AT A CONSTANT SPEED, HOW
MANY MILES DID SHE BIKED IN ONE HOUR?
1) WHAT IS THE RATE IN THIS SITUATION, WRITTEN AS A FRACTION?
2) WHAT IS THE UNIT RATE?
3) TO FIND THE UNIT RATE, WHAT DO WE DO? WHY?
4) WHAT DOES THE UNIT RATE MEAN IN THE CONTEXT OF THE PROBLEM?
I
5) HOW CAN YOU CHECK YOUR WORK?

Answers

Answer:

6 miles in one hour!

Step-by-step explanation:

1, 1/10

2, 6 mph

3, You divide 4 by 24, and you do that to get the answer

4, It means miles per hour, because Adrienne is biking a certain amount of miles in an hour.

5, You can multiply 6 by 4 and it will be 24.

If my answers were correct please mark brainliest <3

If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?​

Answers

Answer:

It could by any 2 numbers that satisfy a^2+b^2= 20.

One example would be 4 and 2:

4^2+2^2=16+4=20

I hope this helped.

jas is 8 years younger than Sandeep 10 years ago their ages total 20 how old are they now​

Answers

Answer: Jas is 9, and Sandeep is 11.

Step-by-step explanation: 9 + 11 = 20

WHAT IS THE SLOPE OF THE LINE???
I NEED HELP ASAP PLEASE

Answers

Answer:

(-3, 1)

Step-by-step explanation:

The line goes down 3 (-3) and to the right 1

(-3, 1)

(Sorry if I am wrong. Please don't get mad)

Hope I helped :)

The slope of the line is -3/1 due to rise over run.

True or false? A theorem is a statement that can be easily proved using a
corollary
A. True
B. False
The answer is B, False

Answers

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly

How much does 1 lemon cost if 6
lemons are $2.99?​

Answers

Answer: About 50 cents 0.50

Step-by-step explanation: 2.99 / 6 = 0.50

Answer:

         _

0.4983

if you want a more simple answer then you could probably round it to about 50 cents each i guess.

5 5/8 + 5/12


helpp mee plzz​

Answers

6 1/24

i hope this helped

Answer:

The answer is 6.04166666667. The answer in a faction is 145/24.

Step-by-step explanation:

I hope this help.

I dont get this, can anyone help?

Answers

Answer:

this is an x y coordinate plane, start with x and then move to y.

Solve v= f(c+K) for K​

Answers

Answer:

K = v /f − c

Step-by-step explanation:

Hello!, All I wanted to ask was what is the answer to this question “Evaluate 9 + 7 x 5”
AND what does Evaluate mean?

Answers

Evaluate basically means to solve. So using order of operations, you first multiply 7 and 5 and get 35, then add 9 to get 44. So 44 would be your final answer.

Answer:

the answer is 44 and evaluate is just a fancy word for solve i believe

Step-by-step explanation:

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