f(x) -> - f(x): Relflection across x-axis
-f(x) -> -f(x-4): Vertical Translation right 4 units
Identify the segments that are parallel, if any, if ∠DCB,∠CBA are supplementary.
A. DC¯¯¯¯¯¯¯¯ || AB¯¯¯¯¯¯¯¯
B. AD¯¯¯¯¯¯¯¯ || CB¯¯¯¯¯¯¯¯
C. AC¯¯¯¯¯¯¯¯ || CD¯¯¯¯¯¯¯¯
D. BA¯¯¯¯¯¯¯¯ || CA¯¯¯¯¯¯¯¯
Answer:
Option A and Option B
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are parallel and equal in measure.
2). Adjacent angles are supplementary.
Since, ∠DCB and ∠ACB are the supplementary angles,
ABCD will be a parallelogram.
Therefore, Opposite sides of the parallelogram ABCD will be parallel and equal in measure.
DC║AB and AD║CB
Option A and Option B are the correct options.
Answer:
A
Step-by-step explanation:
i use same program
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.
How old is Ishaan now?
Answer:
Ishaan is currently 15 years old.
Step-by-step explanation:
Let B represent Ben's current age and I represent Ishann's current age.
Ben is four times as old as Ishaan. In other words:
[tex]B=4I[/tex]
Six years ago, Ben was six times as old as Ishaan. In other words:
[tex]B-6=6(I-6)[/tex]
Solve for I. Substitute:
[tex](4I)-6=6(I-6)[/tex]
Distribute:
[tex]4I-6=6I-36[/tex]
Subtract 4I from both sides and add 36 to both sides:
[tex]2I=30[/tex]
And divide both sides by two. Hence:
[tex]I=15[/tex]
Ishaan is currently 15 years old.
Answer:
Age of Ishaan = 15 years
Step-by-step explanation:
Let Ishaan's age = x years
Age of Ben = 4 * x = 4x years
6Years ago:
Age of Ishaan = x - 6
Age of Ben = 4x - 6
6 years ago, Ben was 6 times as old as Ishaan
So, Age of Ben = 6 * Ishaan's age
4x - 6 = 6 *(x-6)
4x - 6 = 6x - 36
Add 36 to both sides
4x - 6 + 36 = 6x
4x + 30 = 6x
Subtract '4x' from both sides
30 = 6x - 4x
30 = 2x
2x = 30
Divide both by 2 sides
x = 30/2
x = 15
Help.... My brain stopped working
Answer:
3.2 liters
Step-by-step explanation:
The first thing we want to do is find the amount of water it leaks hourly
To do so we divide the amount of water it leaks in 3 hours ( .48 ) by 3
.48/3 = .16
So the faucet leaks .16 liters per hour
Now to find how much water the faucet leaks in 20 hours
To do this we simply multiply 20 by the hourly leakage amount (.16)
.16 * 20 = 3.2
So in 20 hours the faucet would have leaked 3.2 liters of water
Answer:
3.2 liters of water :)!
Step-by-step explanation:
If 0.48 every 3 hours we can do 0.48/3 to find the amount it loses every hour.
0.48/3=0.16
Then if we multiply 0.16 by 20 we will get the amount it loses in 20.
0.16x20=3.2
Hence, it loses 3.2 liters of water every 20 hours.
Hope this helps:)!
4 raised to power two minus 8u minus 9=0
Answer: u = [tex]\frac{7}{8}[/tex] or 0.875
Step-by-step explanation:
Let us convert this statement to a question
[tex]4^{2}[/tex]-8u-9 = 0
16-8u-9 = 0
-8u = 0+9-16
-8u = -7
u = -7 ÷ -8
u = [tex]\frac{7}{8}[/tex] or 0.875
(6.6 x 10{-2}) (3.3 x 10{-4})
Answer:
17424
Step-by-step explanation:
(6.6 x 10(-2) ( 3.3 x 10(-4))
(6.6 x - 20) ( 3.3 x -40)
(-132) (-132)
=17424
9. what is the measure of QSR
=======================================================
Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
----------------------------
Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
----------------------------
The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
Zoe and Hanna share tips in the ratio 3:7
Last week Zoe received £24
How much did Hanna receive last week?
Answer:
56
Step-by-step explanation:
Zoe : hanna
3 7
Zoe got 24
3*8 = 24
so multiply each side by 8
Zoe : hanna
3*8 7*8
24 56
Hanna got 56
How do you solve this problem?
9514 1404 393
Answer:
-19.2
Step-by-step explanation:
Fill in the given values and do the arithmetic.
[tex]\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}[/tex]
Study the diagram of circle C, where two chords, AB¯¯¯¯¯¯¯¯ and DE¯¯¯¯¯¯¯¯, are equidistant from the center.
The diagram as described in the problem.
If AB=3x−7, and DE=5(x−5), what is the length of AB¯¯¯¯¯¯¯¯?
Enter the correct value.
Answer:
Step-by-step explanation:
If AB and DE are equidistant from the center, that means that they are the same length. We set the equations equal to one another and solve for x:
3x - 7 = 5(x - 5) and
3x - 7 = 5x - 25 and
18 = 2x so
x = 9. Now we sub that into the expression for AB (or DE since they're the same length):
3(9) - 7 = 20
Both AB and DE measure 20 units.
SOMEONEEEE PLEASEEE HELPPPP ME OUTTTT I DONT NEED EXPLAINING I NEED THE ANSWER
Answer:
26 degrees
Step-by-step explanation:
[tex] \frac{ \sqrt{19} }{ \sin(x) } = \frac{10}{ \sin(90) } [/tex]
[tex] \frac{ \sin(x) }{19} = \frac{1}{10} [/tex]
[tex] \sin(x) = \frac{\sqrt{19} }{10} [/tex]
Take the sin inverse
we get 26 degrees
Complete the missing parts of the
table for the following function. (picture) please answer all asap
Answer:
x=-1 y = 1/3
x = 1 y = 3
x = 3 y = 27
Step-by-step explanation:
y = 3^x
Let x = -1
y = 3^-1 = 1/3^1 = 1/3
Let x = 1
y = 3^1 = 3
Let x = 3
y = 3^3 = 27
not sure if this makes sense to you guys but if you can help that'd be great. 15 points(all i have left) due today. thank you!!
Answer:
The graph that have 2 lines is for Question 21 and the graph with three lines is for Question 22
Step-by-step explanation:
What is an equation of the line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
Enter your equation in the box.
If you help me thank you so much <333
2x + y = -4
slope = -2
perpendicular slope = 1/2
new equation = x - 2y = x
(1) (2)= 2
(-2) (-8)=16
2+16 =18
new equation = x - 2y = 18
Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice the length of leg 1. What would be the length of the third side of the fabric?
8.94 m
7.21 m
6.93 m
4.47 m
Answer:
8.94 m
Step-by-step explanation:
Use the Pythagorean Theorum - [tex]a^2 + b^2 = c^2[/tex]. Use leg 1 as a, leg 2 as b, and the third side as c.
We know leg 1 is 4, and that leg 2 is twice as long as leg 1...
[tex](4)^2 + (4*2)^2 = c^2[/tex]
Now, we use the Order of Operations to find [tex]c^2[/tex]...
[tex]4^2+8^2=c^2\\16+64=c^2\\80=c^2[/tex]
Now, we find the square root of [tex]c^2[/tex] to find c...
[tex]\sqrt{80} =8.94[/tex]
So, the length of the third side is 8.94 m.
Dan invests £18790 into his bank account. He receives 5.9% per year simple interest. How
much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Answer: £21007.22
Step-by-step explanation:
First, find the interest amount using the formula SI = (P × R × T) / 100.
SI = interest amount P = principle amount = £18790R = interest rate(in percentage) = 5.9T = time(in years) = 2SI = (P × R × T) / 100 = (18790 × 5.9 × 2)/100 = 221722/100 = £2217.22
The total amount = principle amount + interest amount
= £18790 + £2217.22 = £21007.22
28.35 g in an ounce and 2.21 lb in a kilogram. convert 3 kilograms to ounces. Is conversion correct? Explain. please
Answer:
Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear on the numerator and the denominator side. The solution is as follows:
Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces
Can someone help me with this math homework please!
Answer:
-2,4.39,-32
Step-by-step explanation:
1. 0
2.4.39
3. -32
Here is your answer
The puppy needs to catch a train that is moving at 8km/hr. she is 100 meters away and running at 10km/hr. How far will the train have traveled before the puppy is able to jump on?
The rabbit will jump on the train after the train moves 0.4km
The given parameters are:
[tex]d = 100m[/tex] -- distance between the puppy and the train
[tex]s_1 = 8km/hr[/tex] -- the speed of the train
[tex]s_2 = 10km/hr[/tex] --- the puppy's speed
Required
The distance where the puppy catch up with the train
First, we calculate the relative speed (rs) of the puppy to the train
[tex]rs =s_2 - s_1[/tex]
[tex]rs =10km/hr - 8km/hr[/tex]
[tex]rs =2km/hr[/tex]
Calculate the time to catch up with the train using:
[tex]Time = \frac{Distance}{Speed}[/tex]
[tex]t = \frac{100m}{2km/hr}[/tex]
Convert km to m
[tex]t = \frac{100m}{2*1000m/hr}[/tex]
[tex]t = \frac{100m}{2000m/hr}[/tex]
[tex]t = 0.05hr[/tex]
Calculate the distance to catch up with the train using:
[tex]Distance = Speed * Time[/tex]
[tex]d= s_2* t[/tex] --- speed of the train multiplied by the time
So, we have:
[tex]d = 8km/hr * 0.05hr[/tex]
[tex]d = 8km * 0.05[/tex]
[tex]d = 0.4km[/tex]
Read more at:
https://brainly.com/question/14667411
Can someone help me with this math homework please!
Answer:
0
Step-by-step explanation:
LN is an horizontal segment. it means that the line is parallel to x axis so its slope is 0
the polygons in each pair are similar. find the missing side length.
Given:
The polygon in the given figure are similar.
To find:
The missing side length.
Solution:
We know that the corresponding sides of similar figures are proportional.
The given polygons are similar, so the their corresponding sides are proportional.
[tex]\dfrac{x}{15}=\dfrac{32}{40}=\dfrac{32}{40}[/tex]
So, the missing values in the equation of proportion are 15, 40, 32 respectively.
On solving the above equation, we get
[tex]\dfrac{x}{15}=\dfrac{4}{5}=\dfrac{4}{5}[/tex]
[tex]\dfrac{x}{15}=\dfrac{4}{5}[/tex]
[tex]x=\dfrac{4}{5}\times 15[/tex]
[tex]x=12[/tex]
Therefore, the value of x is 12.
i need help ASAP please
Answer:
reflection over Y axis
Step-by-step explanation:
Answer:
I believe it is D) a reflection over the Y-axis
Step-by-step explanation
it is going over the Y-axis as if it is a sort of mirror, if it were going over the x-axis it would be flipped upside down, if it was A the shape would be going over the original shape. I don't know how to explain C. (I hope this helped and I hope it was correct lol)
plz help me
to do this question
Answer:
Angle k measures 60 degrees!!!
What is the equation of the line that passes through (0, 3) and (7, 0)?
Answer:
y=-3/7x+3
Step-by-step explanation:
Find the mean and the median of this data set: 8, 7, 7, 5, 41, 7, 6, 3.
Answer:
Mean = 10.5
Median = 7
Step-by-step explanation:
Mean:
8 + 7 + 7 + 5 + 41 + 7 + 6 + 3 = 84
84/8 = 10.5
Median:
3, 5, 6, 7, 7, 7, 8, 41
= 7
ANSWER ASAP ILL MARK BRAINLIEST!!!
if the vertex of a parabola is (-1,-9) what is the equation of the axis of symmetry?
Answer:
v tditofifkgofifoyofjfihkhjkvig
helpppp question on the image.
Answer:
10 the next day
Step-by-step explanation:
Using the least common multiple
3, 6, 8
The least common multiple is 24
24 hours from 10 the next day
Anual is a word-processor operator. He makes N$12, 50 an hour. Determine his earnings for a week if he works for 48 hours.
Answer: $600
Step-by-step explanation:
Given
Anual makes [tex]\$12.50[/tex] an hour
For 48 hours, he makes
[tex]\Rightarrow 48\times 12.5\\\Rightarrow \$600[/tex]
Thus, he will make $600 for 48 hours
Hi anyone can help me do question 9&10.I will mark brainlest.
What is the graph of f SOMEONE help me please
Answer:
f(x) = 1/2x + 6
Step-by-step explanation:
So before we even look at the first given formula, let's use the second formula: f(x) = -5.
Plug this formula into the x:
0 <= -5 <= 7
Is this true? Is -5 greater than or equal to 0 and less than or equal to 7?
No, this is false.
So the formula, f(x) = -5, is not the graph of f.
That only leaves one possible option!
what is the formula to calculate VAT percentage
Answer:
Take the gross amount of any sum (items you sell or buy) – that is, the total including any VAT – and divide it by 117.5, if the VAT rate is 17.5 per cent. (If the rate is different, add 100 to the VAT percentage rate and divide by that number.)
Answer:
divide by 117.5 if the rate different, add 100 to the percentage and divide by the number therefore multiply by 100 to get the total
Step-by-step explanation:
the formula to calculate vat percentage