Answer:
A) ∠D ≅ ∠F
Step-by-step explanation:
Supplementary angles : A pair of angles whose sum is 180° are called supplementary angles
We are given that ∠D is a supplementary angle of ∠E
So,[tex]\angle D+\angle E = 180^{\circ} -----1[/tex]
We are also given that ∠F is a supplementary angle of ∠E
So,[tex]\angle F+\angle E = 180^{\circ} ------2[/tex]
Find the value of ∠E form 1 and 2
From 1 : [tex]\angle E = 180^{\circ}-\angle D[/tex]
From 2 : [tex]\angle E = 180^{\circ}-\angle F[/tex]
So, [tex]180^{\circ}-\angle D=180^{\circ}-\angle F[/tex]
[tex]\angle D=\angle F[/tex]
So, Option A is true
Hence ∠D ≅ ∠F
Answer:
A) ∠D ≅ ∠F
Step-by-step explanation:
A bicycle depreciates at a rate of 15%. Theresa bought a bicycle for $250. How much should it be worth 6 years later?
Final answer:
The bicycle should be worth a value of $79.16 after 6 years.
Explanation:
To calculate the value of the bicycle 6 years later, we need to find the depreciated price. The bicycle depreciates at a rate of 15% per year, so after 6 years, it will be worth 85% of its original value.
First, we calculate the value after one year: $250 * 0.85 = $212.50. Then, for each subsequent year, we multiply the previous year's value by 0.85 to calculate the new value.
Therefore, the bicycle should be worth $212.50 * 0.85 * 0.85 * 0.85 * 0.85 * 0.85 = $79.16 after 6 years.
Compare fraction 2/8 and 7/8
Answer:
2/8 < 7/8
Step-by-step explanation:
Since the denominators are the same, we compare the numerators
2<7 so
2/8 < 7/8
A. 10
B. 12
C. 15
D. 18
Answer:
3x = 90, so x = 30.
2(30) + 3y = 90
60 + 3y = 90
3y = 30
y = 10
The correct answer is A.
plzzzzzzzzzzzzzzzzz help me
Answer:D
Step-by-step explanation:
If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll an even number?
Answer:
334/667
Step-by-step explanation
chances of getting heads is 1/2
chances of getting an even number is 333/666
simply add them up
Answer:
1/4
Step-by-step explanation:
i’m assuming u meant a 6 sided die. the probability of flipping a heads would be 1/2. the probability of rolling an even number is 3/6. 3/6 times 1/2 is 3/12 or 1/4
The area of the figure is ____ square units
Answer:
80 units
Step-by-step explanation:
Start with the rectangle of 8×6 which is 48.
Then start with a base, 2×6=12 and add 4, 2 per triangle. One base equals 16 and because it's 2 bases multiply by 2 equals 32.
32+48=80
The answer would be 80.
Hope this help and have a fabulous day!
A cone has a radius of 5.1 inches and a height of 5 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
Answer:
V = 136.1
Step-by-step explanation:
Use the formula [tex]V = \frac{1}{3}\pi r^{2} h[/tex]
The solution is, the volume of the cone is 136.2inch^3.
What is volume of cone ?The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.
here, we have,
A cone has a radius of 5.1 inches
and a height of 5 inches.
we know,
Volume = ⅓ r²h
=136.2inch^3.
Hence, The solution is, the volume of the cone is 136.2inch^3.
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Which of the following are in form of different squares. NEED HELP PLEASE HURRY!!
Answer:
All but the fourthStep-by-step explanation:
The fourth is a sum (+) not difference (-).
All others are some form of difference of squares:
[tex]169x^4-49 = \left(13x^2\right)^2-7^2[/tex]
difference of square of number 13x² and square of number 7
[tex]36-25b^2=6^2-(5b)^2[/tex]
difference of square of number 6 and square of number 5b
[tex]100-r^2=10^2-r^2[/tex]
difference of square of number 10 and square of number r
[tex]64y^2-81=(8y)^2-9^2[/tex]
difference of square of number 8y and square of number 9
image 1
Image 2
image 3
Which is a scatter plot
I need help on this please
Your answer would be the last option, 0.71.
To find the probability of the next pizza not being a cheese pizza, we need to find how many pizzas in the sample weren't cheese by adding them up. This gives us:
14 + 23 + 14 = 51
The total number of pizzas made is 21 + 14 + 23 + 14 = 72.
Therefore the probability of not making a cheese pizza would be 51/72 = 0.708 = 0.71
I hope this helps!
Which expression has (x – a) as one of its factors?
A.–(x + a) – 2
B.–2(x + a)
C.(x – a) + 2
D.2(x – a)
i dont get this at all pls help im so lonely and confused...
Answer:
D
Step-by-step explanation:
When an expression is divided by its factor, there are no remainders.
Let's look at the number 6.
6= 1(6)= 2(3)
Thus, the factors of 6 are 1,2,3 and 6.
This is because 6 is divisible by all those numbers to give no remainders.
Let's look at the question again.
D. 2(x-a) is divisible by (x-a) since
[tex] \frac{2(x - a)}{x - a} = 2[/tex]
A.
[tex] \frac{ - (x + a) - 2}{x - a}[/tex]
This fraction cannot be simplified further
B.
[tex] \frac{ - 2(x + a)}{x - a} [/tex]
This fraction cannot be simplified either
C.
[tex] \frac{(x - a) + 2}{x - a} \\ = \frac{x - a}{x - a} + \frac{2}{x - a} \\ = 1 + \frac{2}{x - a} [/tex]
There is a remainder of 2 since 2 cannot be divided by (x-a). Thus, (x-a) is not a factor of this fraction.
Find the unit price rounded to the nearest cent: 8.2 lbs for $6.24.
$0.76
$0.90
$0.79
$0.91
Answer:
0.76
Step-by-step explanation:
6.24/8.2 = 0.76
What type of graph best displays medians?
Answer:
A Bar Graph. Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.
Step-by-step explanation:
(happy to help)
2 Points
True or false? To begin an indirect proof, you assume the inverse of what you
intend to prove is true.
O A. True
OB. False
SUBMIT
how many cubic feet of water can the following in ground swimming pool hold
a) 42ft4
b)144 ft3
c)303 ft3
d) 528 ft3
Answer:
do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer.
Step-by-step explanation:
do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer. hope that helps!
Answer:
528 ft3
Step-by-step explanation:
simplify (3c^2y^3/z^3)^3
Answer:
a
Step-by-step explanation:
Answer:
B 27x^6y^9/z^9
Step-by-step explanation:
Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be
used to find c her cousin's age?
Answer:
Add 4 to 17, then divide both sides by 3.
Step-by-step explanation:
Given that :
Suri's age is 4 less than 3 times her cousin's age
Suri is 17 years old
Let her cousin's age be c
Then ;
3c - 4 = 17
By adding 4 to 17; we have
3c = 17 + 4
3c = 21
Now, dividing both sides by 3 ; we have
3c/3 = 21/3
c = 7
The age of her cousin is 7 years
Answer:
Algebraic equation
Step-by-step explanation:
We would use an algebraic equation.
An algebraic equation is a mathematical statement in which two expressions are made equal to each other using the equal sign.
In this case the algebraic equation consists of constant, variables and algebraic operation.
One of the type of algebraic equation is a linear equation. The expression below relating suri's age with her cousin's is a linear equation.
We can derive equations from sentences that involves unknown values by representing them with variables such as x, y, etc.
Suri's age = 17years old
Let Suri's cousin's age = x
3 times her cousin's age = 3x
Suri's age = 4 less than 3 times her cousin's age = 3x-4
17 = 3x-4
3x = 17+4 = 21
x = 21/3
x = 7
Her cousins age = 3x = 3×7
Her cousins age = 21 years
In circle P, the measure of arc BDC is 260, what is the measure of angle 1?
A. 100
B. 60
C. 50
D. 80
Answer:
C. 50 deg
Step-by-step explanation:
m(arc)BDC = 260 deg
Since a full circle has an arc measure of 360 deg, we can find the measure of arc BC.
m(arc)BC = 360 deg - 260 deg = 100 deg
Angle 1 is formed by a tangent to the circle and a chord of the circle and has a vertex on the circle. Its measure is half the measure of the intercepted arc.
m<1 = (1/2)m(arc)BC = (1/2) * 100 deg = 50 deg
Answer: C. 50 deg
Find the area Of the shape in the picture.
Answer:
198.4cm squared
Step-by-step explanation:
just did all the math trust me ツ
Answer:198.4
Step-by-step explanation: First of all, I split the figure into two shapes a triangle and a square, then I found the area of the triangle (34.56) and of the square (163.84) and then added them together to reach 198.4
Is the point (-3,5) inside, outside or on the circle with equation (x+2)2 + (y-4)2 = 9?
Answer:
Step-by-step explanation:
it’s inside
From a standard deck of 52 cards, what is the probability of picking a 5 of diamonds at random from the deck?
A)1/13
B)1/26
C)1/4
D)1/52
Answer:
D)1/52
Step-by-step explanation:
because their is only one 5 of diamonds in each standerd 52 pack of cards
Answer: The dude below or above me is so wrong the answer for this question is c) 1/4.
Have a great day guys. ✌
Step-by-step explanation:
Bart recorded the amount of rain that fell in a desert in each month for one year. What was the total amount of rainfall in the desert that year? Line plot named as ALTDCMonthly Rainfall Amounts in One YearALTDC shows a number line from 0.0 to 1.1. The number line is divided into 22 equal parts. 1 dot on 0.4, 2 dots on 0.5, 1 dot on 0.6, 2 dots on 0.85, 1 dot on 0.95, 2 dots on 1.0, 2 dots on 1.05 and 1 dot on 1.1 is given. A. 9.85 inches B. 26.05 inches C. 7.25 inches D. 10.75 inches
Answer:
A. 9.85 inches
Step-by-step explanation:
In the graph we can see that 1 month has a rainfall of 0.4 in, 2 months have a rainfall of 0.5 in, 1 month has a rainfall of 0.6 in, 2 months have a rainfall of 0.85 in, 1 month has a rainfall of 0.95 in, 2 months have a rainfall of 1.0 in, 2 months have a rainfall of 1.05 in and 1 month has a rainfall of 1.1 in.
The total amount of rainfall in the desert that year was: 0.4 + 2*0.5 + 0.6 + 2*0.85 + 0.95 + 2*1.0 + 2*1.05 + 1.1 = 9.85 inches
Answer:
its 10.75 i'm pretty sure oops never mind i thought it was 1.5 its 1.05 my mistake the answer is 9.85!
Step-by-step explanation:
Find the product of 5jk(k – 2j)
Answer:
5jk²-10j²k
Step-by-step explanation:
We simply distribute the 5jk to both terms.
5jk(k) = 5jk²
5jk(-2j) = -10j²k
And then we write them together: 5jk²-10j²k
Answer:
Here is the answer. Please rate it.
lucy rolls 2 fair dice and adds the results from each. work out the probability of getting a total of 10
Answer:
The probability of obtaining the sum of 10 is 1/12 or 0.0833
Step-by-step explanation:
Given
2 fair dice
Required
Probability of obtaining the sum of 10
To solve this, we have to list out the sample space.
Sample space is the total possible sum that can be obtained when she rolls the dice.
Let the first die be represented with S1 and the second be represented with S2.
S1 = {1,2,3,4,5,6}
S2 = {1,2,3,4,5,6}
To get the sample space, we have to add individual elements of S1 and S2.
This is done as follows.
When S1 = 1 and S2 = {1,2,3,4,5,6}
Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6
Sum = 2, 3, 4, 5, 6, 7
When S1 = 2 and S2 = {1,2,3,4,5,6}
Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6
Sum = 3,4,5,6,7,8
Using the same pattern as used above
When S1 = 3 and S2 = {1,2,3,4,5,6}
Sum = 4,5,6,7,8,9
When S1 = 4 and S2 = {1,2,3,4,5,6}
Sum = 5,6,7,8,9,10
When S1 = 5 and S2 = {1,2,3,4,5,6}
Sum = 6,7,8,9,10,11
When S1 = 6 and S2 = {1,2,3,4,5,6}
Sum = 7,8,9,10,11,12
Writing out the Sum, will give us the sample space.
Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}
The sample space has a total of 36 elements
To calculate the probability of obtaining the sum of 10,
We have to count the number of 10's in the sample space
Number of 10 = 3
Probability = Number of 10 / Number of Sample Space
Probability = 3 / 36
Probability = 1/12
Probability = 0.0833
Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833
Answer:
3/36 = 1/12
Step-by-step explanation:
Total Outcome - 36
Possible Outcome - 4,6 5,5 6,4 : 3
<DAC = <BAD
What is the length of AB
round to one decimal place
please help me
Answer:
5.7
Step-by-step explanation:
AD is an angle bisector
ACD and ABD have sides in the same ratio
5.1/3.2 = AB/3.6
AB = 3.6 × 5.1/3.2
AB = 5.7375
Answer:
6.3
Step-by-step explanation:
What approach is being used in terms of the outcome of a students grade?
Answer:
It can be biased.
Step-by-step explanation:
Usually it is the correctness of the assignment, but with some teachers there may be bias with the grade too.
Hope this helps
Please mark me as Brainliest
Omar had 7goldfish in his fish tank. He has 3 fewer redfish than goldfish in his tank. Omar also has 8 more black fish than goldfish in his tank. How many fish does Omar have in all?
Answer:
Omar has 27 fish in all.
Step-by-step explanation:
Goldfish: OOOOOOO
Redfish: 7-3=4 OOOO
Black fish: 7+8=15 OOOOOOOOOOOOOOO
Add all of those and you get this many:
OOOOOOOOOOOOOOOOOOOOOOOOOO=27
Hope this helped lots and lots,
sincerely, me
FIFTY POINTS!
Please help me create the rational function that fits this graph!
PLEASE LOOK AT FILE ATTACHED!
WILL GIVE BRAINLIEST! THANK YOU
Answer:
According to the picture, we can have the function form as:
y = ax^2 + bx + c
The y-intercept is (0, 2) => c = 2
=> y = ax^2 + bx + c
The x-intercept is (-2, 0)
=> 4a - 2b = 0 (1)
The graph goes through (1, 1.5)
=> a + b + 2 = 1.5
=> a + b = -0.5 (2)
From (1) and (2)
=> 4a - 2(-a - 0.5) = 0
=> 6a + 1 = 0
=> a = -1/6 => b = -0.5 - (-1/6) = -1/2 + 1/6 = -15/30 + 5/30 = -10/30 = -1/3
=> y = (-1/6)x^2 -(1/3)x + 2
Hope this helps!
:)
The Fahrenheit measure of temperature is a function of the Celsius measure. The Fahrenheit measure is 32 more than 9/5 times the Celsius measure. Which equation best fits the situation?
A. x(g) + 32= 9/5 (x)
B. x(g)= 9/5 (x) + 32
C. g(x) + 32= 9/5 (x)
D. g(x)= 9/5 (x) + 32
Answer:
b
Step-by-step explanation:
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Which transformations were used to create triangle J'K'L?
Answer:
I believe it's the second one
Step-by-step explanation:
A dilation factor of 1/2 and reflection across the x-axis that triangle JKL is dilated to form triangle J'K'L' which is the correct answer would be an option (C)
What is the Dilation?Dilation is a process for creating similar figures by changing the size.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Here triangle JKL is dilated to form triangle J'K'L
Given that the coordinates for each of the shapes:
Regular:
J = -8, 6
K = -4, 6
L = -6, 2
Prime notation:
J' = -4, -3
K' = -2, -3
L' = -3, -1
We have to determine the dilation factor.
As we know dilation factor is the ratio of sides in the original image and the image after dilation.
Dilation factor = J'K'/JK
Dilation factor = 2/4 = 1/2
Hence, a dilation factor of 1/2 reflection across the x-axis that triangle JKL is dilated to form triangle J'K'L'
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