Identify the segments that are parallel, if any, if ∠DCB and ∠CDA are supplementary.
Answer:
C
Step-by-step explanation:
We are given that
[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.
We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.
Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.
Therefore,
[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]
Therefore, angle DCB and angle CDA are interior angles .
Because CA is a transversal line and sum of interior angles is 180 degrees.
When the sum of interior angles formed between two lines and on same side of transversal line is 180 degrees. Then the lines are parallel.
Therefore, angle DCB and angle CDA are formed between line AD and BC.
Hence, AD is parallel to BC.
Option C is correct.
Answer:
c
Step-by-step explanation:
i had the same question
Mr Rai sale a watch for Rs 2035 a profit of 10% how much money has he paid to buy the also find his profit amount
Answer:
He paid Rs 1,850 to buy the watch
Profit = Rs 185
Step-by-step explanation:
Cost price = x
Profit = 10% of x
Selling price = Rs 2035
Profit = Selling price - cost price
10% of x = 2035 - x
0.1x = 2035 - x
0.1x + x = 2035
1.1x = 2035
x = 2035 / 1.1
x = 1,850
Cost price = x = Rs 1,850
Profit = 10% of x
= 10% of 1,850
= 0.1 × 1850
= 185
Profit = Rs 185
Which value is equivalent to x +4/4+x?
–4
–1
1
4
For the function f(x) = -4^-x + 5, if x→∞, then y → ____.
y approaches 5.
As x approaches infinity, -4^(-x) approaches 0.
0 + 5 = 5
Hi! Please help me im really confused >.< tysm
g² - 4g = -3
Answer:
g = 1, 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Terms/CoefficientsFactoringSolving quadraticsStep-by-step explanation:
Step 1: Define
Identify
g² - 4g = -3
Step 2: Solve for g
[Addition Property of Equality] Add 3 on both sides: g² - 4g + 3 = 0Factor: (g - 1)(g - 3) = 0Solve: g = 1, 3How do I do this question
Answer:
Graph:
Solution: (1, 1)
Check:
y = -3x +4
1 = -3 +4
1 = 1
y = 3x -2
1 = 3 -2
1 = 1
Maria's luggage travels 36 m in 3 minutes. What is the speed of the conveyer belt in kilometers per hour?
Answer:
0.72 km per hour
Step-by-step explanation:
First, find the speed in meters per hour. Create a proportion where x is this speed:
[tex]\frac{36}{3}[/tex] = [tex]\frac{x}{60}[/tex]
3x = 2160
x = 720
So, the speed is 720 meters per hour. Convert this to kilometers per hour by dividing 720 by 1000, since there are 1000 meters in a kilometer:
720/1000
= 0.72
So, the speed of the conveyer belt is 0.72 km per hour
What is the truth value for the following conditional statement?
p: true
q: true
~q —> ~p
Whoever gives answer gets brainliest asap
Answer:
m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21
m=16/6=8/3
y-y1/x-x1= m⇒ 8/3=y+64/x+21
8x+168=3y+192
3y=8x-24
x-intercept
3(0)=8x-24
x=24/8 →x=3
x-intercept: (3,0)
OAmalOHopeO
Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190190190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 333 years after she moved into the house, the tree was 274274274 centimeters tall.
Answer:
I know the answer...
Step-by-step explanation:
but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks
Lyon walked 3/4 mile from school to the soccer field.
He then walked 1/6 mile home.
About how many miles did Lyon walk?
Answer:
11/12 miles Lyon walk.
Step-by-step explanation:
3/4 -> 9/12
1/6 -> 2/12
9 + 2 = 11
The solution is :about 11/12 miles Lyon walk.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Lyon walked 3/4 mile from school to the soccer field.
He then walked 1/6 mile home.
now, we have to find that,
About how many miles did Lyon walk
so, we need to add the both distance
i.e. 3/4 + 1/6
so, we have,
3/4 -> 9/12
1/6 -> 2/12
so, we get,
9 + 2 = 11
i.e. 3/4 + 1/6
= 9/12 + 2/12
=11/12
Hence, about 11/12 miles Lyon walk.
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I need help understanding this
Answer:
the first choice
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
then it means if the events are independent then the probability is multiplying the probability of each event.
A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter 8m and height 12m needs to be painted. Find the minimum cost of painting the rod. (NO NEED FOR EXLENATION)
the answer is in the picture
complete the equation: x^2-14x + __ = (__)^2
a. -14; x+14
b. -14; x-14
c. 49; x-7
d. 49; x+7
Answer:
C. 49, x-7
Step-by-step explanation:
(A+B)^2 = A^2 + 2AB + B^2
-14x = 2*A*B
where A=x
Therefore B=-7
and (x-7)^2=x^2-14x+49
Find the volume
Help me please
Answer:
1372/3 π
that's the volume
Find the value of X (plz answer quick)
Answer:
let:
4x-9=2x+3
4x-2x=3+9
2x=12
x=12/2
x=6 Ans
Simplify the expression below 5x(2x - 5)
ANSWER ASAP ILL MARK BRAINLIEST!!!!
find all the real zeros of the quadratic function.
f(x)=2x²-6x-1
Answer:
[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]
I hope that is useful for you :)
Would this be 20? I'm confused on what the problem is asking here.
Answer:
This would not be 20
Step-by-step explanation:
This question can be thought as a Pythagoras question.
By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)
I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?
Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]
We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown
wat iz dis bul crup
i was literally THE hardest math problem EVER
Answer: 289,952,278
Step-by-step explanation: Big brain
Please help!!
Take a factor out of the square root:
Answer:
2a times the sq root of 2a or 2a (2a)**1/2
Step-by-step explanation:
(8a**3)**1/2 =
((2**2 * 2) (a**2) (a))**1/2 then take out and squares
2a (2a)**1/2
or 2a times the sq root of 2a
Express 2x^2-12x-7 in the form a(x+b)^2+c
Answer:
2(x - 3)^2 - 25.
Step-by-step explanation:
2x^2-12x-7
= 2(x^2 - 6x) - 7
= 2[(x - 3)^2 - 9] - 7
= 2(x - 3)^2 - 18 - 7
= 2(x - 3)^2 - 25.
Question 6 of 25
In APQR, m P= 60°, m_ Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.
Answer:
A, E, F
Step-by-step explanation:
From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:
PR = 1/2 PQ which is just 2 PR = PQ(E)
PR √3 = QR (A)
We can substitute in PR from the first equation to the second to get:
√3/2 PQ = QR(F)
How many distinguishable permutations for the letters in the word "statistical" are there?
You can use the same reasoning as I provided on your other question (URL 24277817).
"statistical" has 11 total characters, thus 11! total permutations.
• s, a, and i each appear 2 times
• t appears 3 times
Then the number of distinguishable permutations is
11! / (2! × 2! × 2! × 3!) = 831,600
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5
Answer:
1st option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)
m = [tex]\frac{-1-7}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (9, - 1 ) , then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation of line
Please can someone help me with this question?
9514 1404 393
Answer:
C. f^-1(x) = (x +4)^2; x ≥ -4
Step-by-step explanation:
The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.
We find the inverse function by solving ...
x = f(y)
x = √y -4
x +4 = √y
(x +4)^2 = y
The inverse function is ...
f^-1(x) = (x +4)^2 . . . for x ≥ -4
1 point (1) Three times a number minus two times a number* Your answer
Answer:
Three times a number minus two times a number
3x-2x
=x
Graph the following inequality 6x-2y>8
Please help me and show me how to graph it.
Answer:
6x - 2y > 8
First, solve the inequality (Isolate the y-variable & put it in function format):
[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]
Second, graph the function y = 3x - 4 on the graph.
It should be linear.Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.Third, shade in the area below the line(where y-values are smaller).
Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.f(x) = x2 What is g(x)?
O A. g(x) = 25x2
O B. g(x) =1/5x2
O C. g(x) = 5x2
O D. g(x) = (5x)2
Answer:
C
Step-by-step explanation:
The graph is 5x^2. Hence the option C is correct
The required function g(x) is 5x² for the given graph, which is the correct option (C).
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The given function is as follows:
f(x) = x²
Substitute the value of x = 1 in the above equation,
f(1) = 1
As per the given graph, we have
g(1) = 5
Now, we can write the proportion as:
f(x)/g(x) = f(1)/g(1)
Substitute the known values in the above proportion, and solve for g(x):
x²/g(x) = 1/5
Cross-multiplying and we get:
g(x) = 5x²
Therefore, the required function g(x) is 5x².
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Triangle SKY with vertices S(-7, 2), K(-1,8), and Y(-2,1) undegoes a reflection with new corrdinates S'(-7,-2), K'(-1, -8), and Y'(-2,-1). Name the line of reflection.
Step-by-step explanation:
reflection under
x-axis
hope this will help you
The line of reflection is given as x-axis.
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
The coordinates of the triangle SKY before and after reflection are given as below,
S(-7, 2) → S'(-7, -2)
K(-1, 8) → K'(-1, -8)
Y(-2, 1) → Y'(-2, -1)
It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.
Thus, the reflection is about x-axis.
Hence, the line of reflection is x-axis.
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