Answer:
Step-by-step explanation:30x-18
1. What are the term(s), coefficient(s), and
constant(s) described by the phrase, "the cost of
6 pizzas, c being the cost of each pizza, and a
delivery charge of $5?"
A. Term: 6c, coefficient: 6, constant: 5
B. Term: 6c and 5, coefficient: 6, constant: 5
C. Term: 6c and 5, coefficient: 5, constant: 6
D. Term: 11c, coefficient: 11, constant: none
Answer:
Step-by-step explanation:
6c + 5
term : 6c and 5....coefficient : 6......constant : 5
a coefficient is the number multiplied by the variable (the letter)....a constant is just a number with no variables (letters)
The term described by the phrase 'the cost of 6 pizzas, c being the cost of each pizza, and a delivery charge of $5' is 6c. The coefficient is 6 and the constant is 5.
Explanation:The term described by the phrase 'the cost of 6 pizzas, c being the cost of each pizza, and a delivery charge of $5' is 6c. The coefficient is 6 because it is the number multiplying the variable c. The constant is 5 because it is a fixed value that does not involve any variables.
So the correct answer is option A: Term: 6c, coefficient: 6, constant: 5.
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HELPP ITS DUE TOMORROW
x° = 10°
Solution:
In the given figure the angle L represents 90°.
The center ray splits 90° into two angles.
(3x + 6)° + (5x + 4)° = 90°
⇒ 3x° + 6° + 5x° + 4° = 90°
Combine like terms together.
⇒ 3x° + 5x°+ 6° + 4° = 90°
⇒ 8x°+ 10° = 90°
Subtract 10° on both sides of the equation.
⇒ 8x°+ 10° – 10° = 90° – 10°
⇒ 8x° = 90° – 10°
⇒ 8x° = 80°
Divide by 8 on both sides of the equation.
⇒ x° = 10°
Hence, the value of x° = 10°.
Find the circumference of the figure given below
tabitha wants to find the total cost of a new tablet computer that has a origanall cost of $360 from a store having a 20% sales tax
ANSWER: $432
STEP-BY-STEP EXPLANATION:
The cost of the tablet is $360
Then Tabitha has to pay 20% sales tax.
The tax is the prices times 20% plus the original price
360 ( 1+ 0.2)
360 (1.2)
=432
A prize was awarded to 56 women and 1490 men.
a. What fraction of the prize winners were women?
b. What fraction were men?
Simplify.
Cookies are sold singly or in packages of 13 or 39. With this packaging, how many ways can you buy 78 cookies?
To buy 78 cookies using packages of 13 or 39, you can either buy 2 packages of 39 or 5 packages of 13 and 1 additional cookie.
Explanation:To find the number of ways you can buy 78 cookies using packages of 13 or 39, we need to consider the different combinations of packages.
Let's start with the largest package size, 39. If you buy 2 packages of 39, that's a total of 78 cookies. So one option is to buy 2 packages of 39.
Now let's consider the smaller package size, 13. If you buy 5 packages of 13, that's a total of 65 cookies. To reach a total of 78 cookies, you can buy 5 packages of 13 and 1 additional cookie.
Therefore, the total number of ways you can buy 78 cookies is 2 (using only packages of 39) or 1 (using 5 packages of 13 and 1 additional cookie).
At Elmwood Middle School there are 4 teachers for every 68 students. There are 425 students enrolled at the school. How many teachers are needed?
The number of teachers required for the 425 students that enrolled at the school is 25.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
At Elmwood Middle School there are 4 teachers for every 68 students.
There are 425 students enrolled at the school.
Let the number of teachers be x required for the 425 students will be
[tex]\rm \dfrac{x}{4} = \dfrac{425}{68}\\\\x \ = \dfrac{425*4}{68}\\\\x \ = 25[/tex]
The number of teachers required for the 425 students that enrolled at the school is 25.
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Approximately 25 teachers are needed at Elmwood Middle School. So the correct option is c) 25.
To find out how many teachers are needed at Elmwood Middle School, we can set up a proportion using the given ratio of teachers to students.
Given:
- There are 4 teachers for every 68 students.
Let's set up the proportion:
[tex]\[\frac{\text{Number of teachers}}{\text{Number of students}} = \frac{4}{68}\][/tex]
We know there are 425 students enrolled at the school, so let's find out how many teachers are needed:
[tex]\[\text{Number of teachers} = \frac{4}{68} \times 425\][/tex]
[tex]\[\text{Number of teachers} = \frac{4 \times 425}{68}\][/tex]
[tex]\[\text{Number of teachers} = \frac{1700}{68}\][/tex]
[tex]\[\text{Number of teachers} \approx 25\][/tex]
So, approximately 25 teachers are needed at Elmwood Middle School.
Therefore, the answer is option C. 25.
The complete question is:
At Elmwood Middle School there are 4 teachers for every 68 students. There are 425 students enrolled at the school. How many teachers are needed? A. 17 B. 21 C. 25 D. 28
Asap
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.) A triangular prism is shown with 2 right triangular sides having legs 8 and 6 and hypotenuse 10. The length of the prism is 8.5
Answer:
The surface area of the prism is 252 square units
Step-by-step explanation:
we know that
The surface area of the prism is equal to
[tex]SA=2B+PL[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base
L is the length or the height of the prism
step 1
Find the area of the triangular base B
The area of triangular base B is
[tex]B=\frac{1}{2}(8)(6)=24\ units^2[/tex]
The perimeter of the triangular base P is
[tex]P=8+6+10=24\ units[/tex]
we have
[tex]L=8.5\ units[/tex]
substitute the values in the formula
[tex]SA=2(24)+24(8.5)=252\ units^2[/tex]
Find the inverse of y=7x-10. Is the inverse a function?
Answer:
(x+7)/7 =y
Step-by-step explanation:
The first step is to switch the variables
x=7y-10
Add the 10 to both sides
x=7y-10
+10 +10
x+10=7y
Divide both sides by 7
(x+7)/7 =y
Answer:
the inverse function is (x + 10)/7
Step-by-step explanation:
y=7x-10
7x = y + 10
x = (y + 10)/7
therefore the inverse of the given function is (y + 10)/7
Rearrange so x is independent variable. -4x-6=-5y+9
[tex]\text{Solve for x:}\\\\-4x-6=-5y+9\\\\\text{Add 6 to both sides}\\\\-4x=-5y+15\\\\\text{Divide both sides by -4}\\\\\boxed{x=\frac{5}{4}y-\frac{15}{4}}[/tex]
what is the solution of y= -5x + 1 and y= 3x - 2
Answer:
x=3/8, y=-7/8. (3/8, -7/8).
Step-by-step explanation:
y=-5x+1
y=3x-2
----------
-5x+1=3x-2
-5x-3x+1=-2
-8x+1=-2
-8x=-2-1
-8x=-3
8x=3
x=3/8
y=3(3/8)-2=9/8-2=9/8-16/8=-7/8
What is the slope of a line parallel to a line with slope 2/3
Answer:
2/3
Step-by-step explanation:
parallel lines have the same slope
given that a line has a slope of 2/3
a line that is parallel to this line would also have a slope of 2/3
Sally has $40,000 to invest some money at 9% interest and the rest at 11%. If her total annual income from these two investments is $4,300, how much does she invest at
a = amount invested at 9%
b = amount invested at 11%
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hfill \stackrel{\textit{9\% of "a"}}{\left( \cfrac{9}{100} \right)a\implies 0.09a}~\hfill \stackrel{\textit{11\% of "b"}}{\left( \cfrac{11}{100} \right)b\implies 0.11b}[/tex]
we know she has a total of $40,000 to invest, so, if she invested "a" amount in one, the other quantity must be the slack left from 40,000 and "a", namely b = 40000 - a.
we also know that the yield or earned interest from both amounts is 4300, thus
[tex]\bf \stackrel{\textit{yield of "a"}}{0.09a}~~+~~\stackrel{\textit{yield of "b"}}{0.11b}~~=~~\stackrel{\textit{annual income from both}}{4300} \\\\\\ \stackrel{\textit{yield of "a"}}{0.09a}~~+~~\stackrel{\textit{yield of "b"}}{0.11(40000-a)}~~=~~4300 \\\\\\ 0.09a+4400-0.11a = 4300\implies -0.02a+4400 = 4300 \\\\\\ 4400=4300+0.02a\implies 100=0.02a\implies \cfrac{100}{0.02}=a\implies \boxed{5000=a} \\\\\\ \stackrel{\textit{we know that}}{b = 40000-a}\implies \boxed{b = 35000}[/tex]
please help me!! i know u saw this so help me
Answer:
I think 8
Step-by-step explanation:
9/2 and 5/8
here 8 is the LCM.
so, 9/2 × 4/4
5/8 × 1/1
which gives: 36/8 and 5/8
Answer:
It is 2
Step-by-step explanation:
Nothing can go into 2 and 8/4 is 2.
PLEASE HELP!!! 45 PTS AND BRAINLIEST!!!
1) Complete the work for each method below:
Method A: Given f(x) = 3x - 4 and g(x) = x+4/3
Show that these are inverse functions by finding f^-1 (x) and showing that it is the same as g(x)
Method B: Given f(x) = 3x - 4 and g(x) = x+4/3
Show that these are inverse functions by showing that when the output of one function is used for the input of the other function, the final output is equal to the original input value. (you may choose any initial input)
Method C: Given f(x) = 3x - 4 and g(x) = x+4/3
Verify that these are the inverse function by showing that f(g(x)) = x AND g(f(x)) = x
Answer:
See explanation!
Step-by-step explanation:
Let us first give some principle theory to aid our solution.
Considering two functions [tex]A(x)[/tex] and [tex]B(x)[/tex], in order to show that function
which is the inverse of [tex]y=ax[/tex].
Now let as solve our problem. We are given the following:
[tex]f(x)=3x-4\\g(x)=\frac{x+4}{3}[/tex]
Method A: Show that these are inverse functions by finding f^-1 (x) and showing that it is the same as g(x).
Let us take [tex][f(x)=y]=3x-4[/tex] and "exchanging" our variables we have
[tex]x=3y-4\\x+4=3y\\\\y=\frac{x+4}{3}[/tex]
which is exactly the same with our given function of [tex]g(x)=\frac{x+4}{3}[/tex], so proved!
Method B: Show that these are inverse functions by showing that when the output of one function is used for the input of the other function, the final output is equal to the original input value. (you may choose any initial input)
For this case we will use a simple input let us say [tex]x=1[/tex]. Thus taking the [tex]f(x)[/tex] function and plugging in we have:
[tex]f(x=1) = 3(1)-4\\f(1)=3-4\\f(1)=-1[/tex]
Now let us take the output of [tex]f(1)[/tex] which is [tex]-1[/tex] and use it the input to our second function of [tex]g(x)[/tex], so we have:
[tex]g(x=-1) = \frac{(-1)+4}{3}\\ \\g(-1)=\frac{3}{3}\\ \\g(-1)=1[/tex]
so the output of the second function is equal to the original input value of the first function, hence proved!
Method C: Verify that these are the inverse function by showing that f(g(x)) = x AND g(f(x)) = x.
Basically we are asked to prove that both [tex]f(g(x))=g(f(x))=x[/tex]
To do so, we just replace one function into the [tex]x[/tex] value of the other function as follow:
[tex]f(g(x))=3(\frac{x+4}{3} )-4\\\\f(g(x))=x+4-4\\\\f(g(x))=x[/tex]
Lets repeat now for the opposite as follow:
[tex]g(f(x))=\frac{(3x-4)+4}{3}\\ \\g(f(x))=\frac{3x}{3}\\ \\g(f(x))=x[/tex]
Hence proved!
2. After the orchestra completed its program
orchestra completed its program, there was a party to allow the patrons to mingle with the
icians, Kayla's Catering provided the food, drinks and service for the party. There were two
red seven guests. Kayla charges $27.00 per guest for food and $10.00 per quest for drinks. To
That she adds $4.98 per quest for service. What was Kayla's total bill for catering the party?
After the orchestra completed its program, there was a party to allow the patrons to mingle with the musicians. Kayla’s Catering provided the food, drinks, and service for the party. There were two hundred seven guests. Kayla charges $27.00 per guest for food and $10.00 per guest for drinks. To that she adds $4.98 per guest for service. What was Kayla's total bill for catering the party?
Answer:The total bill for catering the party is $ 8689.86
Solution:Kayla’s Catering provided the food, drinks, and service for the party
Total number of guests = 207
Charge for food for 1 guest = $ 27
Charge for drink for 1 guest = $ 10
Charge for service for 1 guest = $ 4.98
To find: Kayla total bill for cater
Total bill = Total number of guests(Charge for food for 1 guest + Charge for drink for 1 guest + Charge for service for 1 guest)
[tex]Total\ bill = 207(27+10+4.98)\\\\Total\ bill = 207(37 + 4.98)\\\\Total\ bill = 207 \times 41.98\\\\Total\ bill = 8689.86[/tex]
Thus total bill for catering the party is $ 8689.86
Find the required measurements of the following trapezoids.
a=8 cm
b= 16 cm
h=12 cm
Compute the area.
cm2
Answer:
Area of trapezoid = 144 cm²
Step-by-step explanation:
The length of parallel sides are,
a = 8 cm
b = 16 cm
h = 12 cm
Formula area of trapezoid:-
[tex]A=\dfrac{1}{2}(a+b)\times h[/tex]
[tex]A=\dfrac{1}{2}(8+16)\times 12[/tex]
[tex]A=144[/tex]
Hence, the area of trapezoid is 144 cm²
Answer:
Hence, the area of trapezoid is 12 cm²
Step-by-step explanation:
Which would be the best trend line for the given data set?
y=-3/2x+8
y=3/2x+5
y=2/3x+8
y=-2/3x+5
y=-2/3x+5
Step-by-step explanation:
From the scattered plot, it is evident that the line of best fit will have a negative slope from the way the plots are aligned.
Selecting the line of best fit that will cut the y axis at +5, the points can be estimated as;
(5,1.5) and (3.5,2.5)
The slope can be found as;
m=Δy/Δx
m=2.5-1.5/3.5-5 =1.0/ -1.5 = -0.67
Finding the equation as;
m=Δy/Δx
-0.66 = y-2.5/x-3.5
-0.66(x-3.5) = y-2.5
-0.66x+2.3=y-2.5
-0.66x+2.3+2.5=y
-0.66x+4.7=y
⇒⇒ y= -0.66 x + 4.7
⇒⇒y= -2/3 x + 5
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6 times the sum of a number and 5
Answer:
6(x+5)
Step-by-step explanation:
Answer: 6 x (x+5)
Step-by-step explanation: Since it is six times a number AND five, you want to do the addition equation first. To show this you place parentheses around a variable (x) plus 5. You add six in front of this because it comes first in the word problem.
Answer fast I think is b
Answer:
b
Step-by-step explanation:
yes it b because it goes origion and it not a zero pair
Y=3/4x
5/2x+2y=5
Show work
Answer:
x = 5/4
y = 15/16
Step-by-step explanation:
We are given y = 3/4x
and 5/2x +2y = 5
Substituting the value y=3/4 x in second equation we get
5/2x + 2(3/4)x = 5
8/2x = 5
4x = 5
and so , x = 5/4
substituting value of x in y = 3/4x we get,
y = 3/4 (5/4)
So, y = 15/16
which are the required values of x and y on solving the two given equations.
The solution to the equation is (5/4, 15/16)
Given the system of equations
Y=3/4x 5/2x+2y=5Substitute equation 1 into 2 to have:
5/2x + 2(3/4x) = 5
5/2x + 3/2x = 5
8/2x = 5
4xx = 5
x = 5/4
Snce y = 3/4x
y = 3/4(5/4)
y = 15/16
Hence the solution to the equation is (5/4, 15/16)
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Help me on this please thank you
Answer:
A. ∠ABC ≅ ∠DBE
Step-by-step explanation:
The whole proof is not shown, but in order to show the triangles similar, one would need to (a) show the sides are proportional, and (b) show the included angle is the same. The portion of the proof that is shown is on the way to showing side lengths are proportional. The missing part for showing triangle similarity is the congruence statement for angle B, as shown above.
__
Once the triangles are shown to be similar, additional work is needed to show DE║AC. At least one pair of corresponding "base" angles must be shown congruent, too.
11:
Larry is buying tickets to the state fair for a group of people.
The admission price for kids (k) is $3 and for adults (a) it's $5 .
Larry has just purchased a total of 10 tickets. He paid a total of $45 for all the tickets.
Write an equation that represents the total cost based on the combination of kids and adult tickets purchased.
Answer:
3k+5a=45
Step-by-step explanation:
It says write an equation. It doesn't specify that you have to solve. That means you can use variables like (k) and (a).
That allows for more flexibility and the equation 3k+5a=45.
3k means that 3 dollars per ticket times (k) tickets equals the total price for kid's tickets
5a means that 5 dollars per ticket times (a) tickets equals the total price for adult's tickets
The equation to represent the cost based on the combination of kids' and adult tickets purchased by Larry is 3k + 5a = 45, where k represents the kids' tickets and a represents the adult tickets.
Explanation:The problem can be translated into a simple algebraic equation where the number of kids' tickets (k) and the number of adult tickets (a) are the variables. Given the cost per ticket for each category (kids at $3 and adults at $5), we can define a equation where 3k + 5a = 45. This equation represents the cost distribution of the ten tickets that Larry purchased for the state fair, 3 multiplied by the number of kids' tickets plus 5 multiplied by the number of adult tickets.
Therefore, if Larry knows how many of each ticket he bought, he can insert the values for k and a into the equation to see if it equals to 45, the total amount of money he spent.
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12) Cost of a hat: $39.95
Markup: 10%
Discount: 50%
Tax: 4%
Answer:
22.77
Step-by-step explanation:
39.95 * 1.14 (tax + markup) * 0.5 (discount) = 22.77 (rounded)
Simplify the following expression.
-7x² - 5x-6x² +4 + 15x
Answer: -13x^2 + 10x + 4
Step-by-step explanation:
group all of the same variables together to simplify the equation.
-7 - 6 = -13 // the x^2 value
-5 + 15 = 10 // the x value
4 is the only number without an exponent so leave it alone.
Answer:
-13x²+10x+4
Step-by-step explanation:
You need to group all of the same variables together:
-7x² - 5x - 6x² + 4 + 15x
-7x²-6x²-5x+15x+4
-13x²+10x+4
Graph the equation y = -6x + 12
Answer:
The three points for the line y = -6x + 12 ...Red color line
point A( x₁ , y₁) ≡ ( 0 , 12) (blue color point on the graph)
point B( x₂ , y₂) ≡ (2 , 0) (green color point on the graph)
point C(x₃ , y₃ ) ≡ (1 , 6) (purple color point on the graph)
The Graph is attached below.
Step-by-step explanation:
Given:
[tex]y = -6x +12[/tex] ........... equation of a line
Let the points be point A, point B, and point C
To Find:
point A( x₁ , y₁) ≡ ?
point B( x₂ , y₂) ≡ ?
point C(x₃ , y₃ ) ≡ ?
Solution:
For Drawing a graph we require minimum two points but we will have here three points.
For point A( x₁ , y₁)
Put x = 0 in the given equation we get
y = 0 + 12
y = 12
∴ point A( x₁ , y₁) ≡ ( 0 , 12)
For point B( x₂ , y₂)
Put y= 0 in the given equation we get
0 = -6x + 12
6x = 12
[tex]x=\dfrac{12}{6}=2[/tex]
∴ point B( x₂ , y₂) ≡ (2 , 0)
For point C(x₃ , y₃ )
Put x = 1 in the given equation we get
y = -6 × 1 + 12
y = 6
∴ point C(x₃ , y₃ )≡ (1 , 6)
Therefore,
The three points for the line -2y = -x + 8 are
point A( x₁ , y₁) ≡ ( 0 , 12) (blue color point on the graph)
point B( x₂ , y₂) ≡ (2 , 0) (green color point on the graph)
point C(x₃ , y₃ ) ≡ (1 , 6) (purple color point on the graph)
The Graph is attached below..
Parabolas y=3x2 and y=−3x2+k intersect at points M and N that are in the first and the second quadrants respectively. Find k if length of the segment MN is 6.
Answer:
[tex]k=54[/tex]
Step-by-step explanation:
Find the coordinates of points M and N in terms of k. Solve the system of two equations:
[tex]\left\{\begin{array}{l}y=3x^2\\ \\y=-3x^2+k\end{array}\right.\Rightarrow \left\{\begin{array}{l}y=3x^2\\ \\y=-y+k\end{array}\right.\\ \\2y=k\\ \\y=\dfrac{k}{2}\\ \\\dfrac{k}{2}=3x^2\\ \\x^2=\dfrac{k}{6}\\ \\x=\pm\sqrt{\dfrac{k}{6}}[/tex]
Two points have the coordinates [tex]M\left(\sqrt{\dfrac{k}{6}},\dfrac{k}{2}\right)[/tex] and [tex]N\left(-\sqrt{\dfrac{k}{6}},\dfrac{k}{2}\right)[/tex]
Find the distance between M and N:
[tex]MN=\sqrt{\left(\sqrt{\dfrac{k}{6}}-\left(-\sqrt{\dfrac{k}{6}}\right)\right)^2+\left(\dfrac{k}{2}-\dfrac{k}{2}\right)^2}=\sqrt{4\dfrac{k}{6}}=\sqrt{\dfrac{2k}{3}}[/tex]
Since MN = 6, you have
[tex]\sqrt{\dfrac{2k}{3}}=6\\ \\\dfrac{2k}{3}=36\\ \\2k=108\\ \\k=54[/tex]
Which expression is equivalent to 8/15?
A. 8÷1/5
B. 8÷15
C. 15÷1/8
D. 15÷8
Answer:B
Step-by-step explanation:
How can you use equivalent fractions to know that 43/200 is between 1/5 and 1/4
The fraction 43/200 is evidently between 1/5 and 1/4 from equivalent fractions.
A fraction which is equivalent to 1/5 with denominator, 200 is; 40/200.A fraction which is equivalent to 1/4 with denominator, 200 is; 50/200.Im essence, since 43 lies between, 40 and 50;
The fraction 43/200 in turn lies between fractions 1/5 and 1/4.
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The diagram shows triangle ABC.
ADB is a straight line.
The size of angle DCB: The size of angle ACD=2:1
Work out the size of angle BDC.
=======================================================
Explanation:
Check out figure 1 which is one of the attached images below.
In this diagram, I have angle A as 75 degrees and angle B as 51 degrees.
Angle C is therefore, C = 180-A-B = 180-75-51 = 54 degrees.
----------
Point D is somewhere between A and B such that it is on segment AB.
Figure 2 (also attached as an image) shows segment CD forming two angles DCB and ACD.
These are the blue and red angles respectively, such that the blue angle is twice as large as the red angle.
blue angle = 2*(red angle)
This is what it means when it says the ratio of the two angles is 2:1.
I have 2x as the blue angle and x as the red angle. We don't know what x is yet, but we do know that the x and 2x combine back to angle C = 54 degrees.
So,
(angle DCB) + (angle ACD) = angle C
(2x) + (x) = 54
3x = 54
x = 54/3
x = 18
Since x = 18, this means 2*x = 2*18 = 36
Therefore,
angle DCB = 2x = 36 degrees
angle ACD = x = 18 degrees
--------
Focus solely on triangle DCB. We found angle DCB = 36 degrees and we know that angle DBC = 51
The remaining angle y = angle BDC is...
(angle BDC)+(angle DCB)+(angle DBC) = 180
(y)+(36)+(51) = 180
y+87 = 180
y+87-87 = 180-87
y = 93
angle BDC = 93 degrees
Figure 3 shows the angles we found (basically I replaced x, 2x and y with their respective numbers).
The size of angle BDC is 0 degrees.
To find the size of angle BDC, you can use the fact that the sum of the angles in a triangle is always 180 degrees. Since angle ACD is 1 part and angle DCB is 2 parts, we can express their sizes as:
Angle ACD = x degrees
Angle DCB = 2x degrees
Now, you know that the sum of the angles in triangle ABC is 180 degrees. So, you can write the equation:
x (angle ACD) + 2x (angle DCB) + 180 degrees (angle BDA) = 180 degrees
Now, simplify and solve for x:
x + 2x + 180 = 180
Combine like terms:
3x + 180 = 180
Now, subtract 180 from both sides of the equation:
3x = 0
Finally, divide by 3:
x = 0
Now that you know the value of x, you can find the size of angle BDC (2x):
Angle BDC = 2x = 2(0) = 0 degrees
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