Segment JK is congruent to segment DE because they have the same length.
Explanation:To determine if segment JK is congruent to segment DE, we need to compare their lengths. We can use the distance formula to find the length of each segment.
For segment JK, the coordinates are J(1, 4) and K(-6, -8). Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-6 - 1)^2 + (-8 - 4)^2)
= sqrt((-7)^2 + (-12)^2)
= sqrt(49 + 144)
= sqrt(193)
For segment DE, the coordinates are D(3, 3) and E(-4, -9). Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-4 - 3)^2 + (-9 - 3)^2)
= sqrt((-7)^2 + (-12)^2)
= sqrt(49 + 144)
= sqrt(193)
Since the lengths of segment JK and segment DE are both sqrt(193), they are congruent.
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Find all real square roots of -121.
The real square roots of -121 are ±11i, where 'i' represents the imaginary unit.
Explanation:When dealing with square roots of negative numbers, it's important to recognize that the square root of a negative number is an imaginary number. In this case, the square root of -121 is found by taking the square root of the positive value of 121 and then multiplying the result by 'i'. The square root of 121 is 11, so the square root of -121 becomes ±11i.
In the context of real numbers, square roots of negative values do not exist. However, in the realm of complex numbers, the introduction of the imaginary unit 'i' allows for the representation of square roots of negative numbers. The number 'i' is defined as the square root of -1. When squared, 'i' multiplied by itself yields -1.
Hence, the square root of -121, which is a negative number, results in ±11i, representing two imaginary numbers with opposite signs. These imaginary square roots are crucial in various fields, including mathematics, physics, and engineering, where complex numbers play a significant role in modeling and solving problems involving quantities with both real and imaginary components.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A circle has a diameter of 28 centimeters. Estimate the area of the circle. Use 22/7 for π.
Please answer this as soon as possible!
Answer:
616 cm²
Step-by-step explanation:
To find the area of a circle you use the formula A = π · r²
So we know that the diameter is 28 cm, to find the radius we would divide this in half, because d = 2r, giving us 14. Now we can do 14² which is 196, and then times that by pi or in this case 22/7.
196 × (22/7) = 616
Answer:
616 square centimeters
Step-by-step explanation:
Diameter of circle = 28 centimeters
π = 22/7
Area of a circle, A = π [tex]\frac{D^{2} }{4}[/tex]
A = [tex]\frac{22}{7}[/tex] * [tex]\frac{28^{2} }{4}[/tex]
A = [tex]\frac{22}{7^{1} }[/tex] * [tex]\frac{(4 * 7)^{2} }{4}[/tex]
A = [tex]\frac{22}{7^{1} }[/tex] * [tex]\frac{4^{2} *7^{2} }{4}[/tex]
A = 22 * 28
A = 616 square centimeters
I need help with this graph.
Evaluate the expression 1/4y+10+y squared y=8
The table shows the cost of a game from 2000 to 2004, which has been increasing in a quadratic fashion. Let x = 0 in 2000, and find the best-fit quadratic equation. What will game cost in 2010? A) $417 Eliminate B) $746 C) $960 D) $1,586
Answer: Here we are going to use the equation y=15x2+3x+56.
x=0 in 2,000 so x=10 in 2010.
Substitute 10 for x.
After this we have the answer: D. $1,586
Hope this helps
An album sells for $14.00 through an online music service. If the album is 30% off, and sales tax is 6%, what is the total price of the album including tax?
Answer:
10.39 dollars.
Step-by-step explanation:
14 times 0.7 equals 9.8 dollars. Then, multiply 9.8 with 1.06 and you get 10.388 or 10.39 Hope this helps!
The volume of a cube is 64 Inches-cubed. What is the measure of each side of the cube ??
Answer:
a≈4
Volume 64
Step-by-step explanation:
Question is the attachment
Answer:
180
^
120 Green, 60 Red
^ ^
Bruised Green = 30, Not Bruised Green = 90/Bruised Red = 12, Not Bruised Red = 48
Step-by-step explanation:
There is a beginning amount of 180 which goes in the first bubble. Then, you divide by 3 because 1/3 is red. 180 divided by 3 is 60, so there are 60 red apples. And 180 minus 60 is 120 and that's the amount of green. Then, 1/5 of the red apples are bruised so 60 divided by 5 is 12, so 12 are bruised and sincce 60 - 12 = 48, 48 are not. And then 1/4 of the green are bruised so 120 divided by 4 is 30, which means 30 are bruised. Lastly 120 minus 30 = 90, so 90 are not bruised that are green.
The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?
The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.
Answer:
2 pairs
Step-by-step explanation:
Answer:
Step-by-step explanation:
d (The pyramid has 2 pairs of congruent faces.)
Tobin is solving the equation 3(x - 1.25) = 11.25. His work is shown below.
What mistake did Tobin make?
a
Tobin did not make a mistake.
b
Tobin should have subtracted 3.75 from each side.
c
Tobin did not distribute the 3 correctly.
d
Tobine should have divided by 3.
Answer:
D
Step-by-step explanation:
If you take a look at everything up to the step before last, you can follow the train of thought and see that Tobin did everything correctly. However, when he had 3x=15 and multiplied both sides by 3, he got a ridiculous answer. If he had instead divided both sides by 3, he would have found that x=5, and not 135. Therefore, the correct answer is D.
Answer:
D. Tobin did not make a mistake
Step-by-step explanation:
i just did it on ed
Find the members of set A.
A)
(1,4,6)
{9,8,5)
9
{1,46,3,7)
D)
(1,3,4,5,6,7,8,9)
Answer is c {1,4,6,3,7}
Answer:
C. [1,4,6,3,7]
Step-by-step explanation:
Answer:
The answer is C
What method would you choose to solve the equation 2x^2-7=9? Explain why you chose this method
Answer:
PEMDAS
Step-by-step explanation:
parenthesis, exponents,multiplication,division,additon,substraction, these are the steps in order to follow when solving equations.
Mrs.Marks paid $125 to have her hair colored and cut. If she tips her hairdresser 12% . What’s her total ?
Answer:
her total is $140
Step-by-step explanation:
turn 12% into a decimal (0.12) then multiply that by the amount she paid (125*0.12) that gives you 15. then add 15 to 125 to get the total amount ($140)
hope this helps!
Answer:
$140
Step-by-step explanation:
The total before the 12% tip is $125
To find 12% of $125, we will change 12% to a decimal, 0.12
0.12 * 125=15
15$ is the tip.
125+15=140
$140 is her total
PLEASE HELP ASAP GIVING BRAINLIEST
5. What percent of the women who answered the survey prefer Candidate A?
A) 21%
B) 42%
C) 44%
D) 79%
7. What percent of all voters are men who prefer Candidate B?
A) 47%
B) 44%
C) 29%
D) 23%
Answer:
5.) Answer choice C (44%)
7.) Answer choice A (47%)
Step-by-step explanation:
to find the percentage, we find the total of all women and divide the total of women from candidate A from the total amount of women voters.
1346+1704 = 3050
1346/3050 ≈ 44%
The same procedure applies for question 7 except we add EVERYONE up. We divide the amount of men for candidate B from all of the voters.
1704+1488+1346+1871 = 6409
1488/6409 ≈ 23%
Voila! There's your answer .ω.
Hope you understand this now!
Solve the one-variable equation using the distributive property and properties of equality.
–6(2 + a) = –48
What is the value of a?
a = –6
a = –3
a = 5
a = 6
Answer:
a=6
Step-by-step explanation:
-6(2+(6)=-48
-6(2+6)=-48
(-6X2)+(-6+6)=-48
(-12)+(-36)=-48
-48=-48
They are equal. Tell me if I made a mistake. Thanks!
Write the fraction as a percent. 9/20
Answer:Write 9/20 as a percent. Use equivalent fractions: 9/20 = 45/100 = 45%.
Step-by-step explanation:
If p/4 = 36 then x = ?
Answer:
144 (thank me) ( and also brainliest)
Step-by-step explanation:
p/4=36
144/4 gives you 36
p or x would be 144
An experiment consists of randomly drawing a cube from a bag containing three red and two blue cubes What is the sample space of this experiment
Answer:
{Red,Blue}
Step-by-step explanation:
Since the experiment consists of randomly drawing just a cube from a bag containing three red and two blue cubes, the outcome could be either a red or blue cube. Therefore the sample space is:
{Red,Blue}
value of x?
x-2(x+3)=4(2x+3)-(x+4)
Answer:
X=-1/4
Step-by-step explanation:
X-2(x+3)=4(2x+3)-(x+4)
Open the bracket first
X-2x-6=8x+12-x-4
Collect like terms
X-2x+x-8x=12-6-4
-x+x-8x=6-4
-8x=2
Divide both sides by-8
X=-2/8
Divide both by 2
X=-1/4
In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
Answer:
18
Step-by-step explanation:
A circle has its origin at (0, 0). The point (5, 7) is on the edge of the circle. What is the radius of the circle?
Select one:
A. r = 6√2
B. r = 2√18
C. r = 4√21
D. r = √74
E. There is not enough information to answer this question.
Answer:
The radius of the circle is √74
Step-by-step explanation:
Radius of a circle is the distance between the centre of a circle and its circumference.
The origin of the circle (0,0) will be its centre.
The point on the edge of the circle is the point on its circumference which is (5,7).
The radius of the circle will be the distance between this two points according to definition.
R = √(x2-x1)²+(y2-y1)²
Given (x1, y1) = (0,0) and (x2, y2) = (5, 7)
x1 = 0, y1 = 0, x2 = 5, y2 = 7
Substituting into the formula we have;
R = √(5-0)²+(7-0)²
R = √5²+7²
R = √25+49
R = √74
Answer:
Step-by-step explanation:
Given that a centre has an origin (0,0) and (5,7) at the edge.
What is the radius of the circle
This is a direct question, we can apply coordinate geometry by finding the distance between two point, .
From co-ordinate geometry, the distance between two points is
d =√[(x2-x1)² + (y2-y1)²]
So, applying this
Point 1 = (x1,y1) = (0,0)
Point 2 = (x2,y2) = (5,7)
The radius of the is
r = √[(x2-x1)² + (y2-y1)²]
r = √[(5-0)² + (7-0)²]
r = √[5² + 7²]
r = √(25 + 49)
r = √74
The correct answer is D
D. √74
An arc that lies outside of a central angle is called a
O
A. minor arc
O
B. semicircle
O
c. major arc
SUE
An arc that lies outside of a central angle is called a Major arc.
Option 'C' is correct.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
An arc that lies outside of a central angle is called a major arc.
Since arc of a circle is a continuous portion of a circle.
And Central angle is the angle formed at the centre and it is an acute angle so, an arc that lies outside of a central angle will be a major arc only.
Because major arc is greater than half of the circle so, it can be formed outside of a central angle only.
Hence, An arc that lies outside of a central angle is called a Major arc.
Option 'B' is correct.
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Explain how to determine if a question is asking for
volume or surface area.
Answer:
Sample response: Volume represents the amount of space an object takes up. Surface area represents the area of the outside surface of the object. If you need to find the amount of space something takes up, or the amount to fill something, find the volume. If you want to find how much is needed to cover something, find the surface area.
Step-by-step explanation:
If they are asking for volume, they are wanting to know how much can go inside the object....If they are asking for surface area.....the are wanting to know about the outside only.
The volume is equal to the product of area and height of shape.
The total area occupied by the surfaces of an object is called its surface area.
What is a volume?"A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere."
What is surface area?"The total area occupied by the surfaces of an object is called its surface area."
Different shapes have different volumes. In 3d geometry, we have studied the various shapes and solids such as cube, cuboid, cylinder, cone, etc., that are defined in three dimensions. For all these shapes, we are going to learn to find the volume.
The formula to calculate the volume of a solid in a three-dimensional space, is to find the product of dimensions. Basically, the volume is equal to the product of area and height of shape.
Volume = Base Area x Height
For shapes having flat surfaces such as cube and cuboid, it is easy to find the volume. But for curved shapes like cone, cylinder and sphere, we have to consider the dimensions of its curved surface as well, such as radius or diameter.
In geometry, different 3D shapes have different surface areas which can be easily calculated using the formulas that we will be learning in this article. The surface area is classified into two categories:
1. Lateral surface area or Curved surface area
2. Total surface area
There is a different surface area formula for every geometrical shape, but the idea behind all is to get the total area occupied by all the faces of the objects.
The total surface area considers all the faces of the 3D shape including the flat surfaces and the curved surfaces, while the lateral surface area is calculated to find the area occupied by the curved surface of the shape. It does not include the area of the bases. A sphere is one 3D figure which has only one round surface with no flat base.
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A rectangle measures 4 1/2 inches by 2 3/4 inches, what is the area of the rectangle? Answer in fraction form.
PLZ HELP ASAP AND SHOW UR WORK!!!! THE ≤. WITHOUT THE LINE IN THE BOTTOM
2/3X + 6 ≤ 10
A. X ≤ 12
B. X ≤ 6
C. X ≤ 4
D. X ≤ 2
Answer:
B
Step-by-step explanation:
[tex]\frac{2}{3}x +6<10[/tex]
subtract 6 from both sides
[tex]\frac{2}{3}x <4[/tex]
divide by 2/3(or multiply by 3/2)
[tex]x<6[/tex]
and thats your answer
Consider the diagram below. What is the mDEB?
Answer:146
Step-by-step explanation:
The measure of the arc DEB is equivalent to 146°.
What is angle?An angle is formed when two rays have the same end point. The common end point is called vertex.
Given is to find the measure of arc DEB.
We can write the measure of angle DBE as half the measure of arc BCD. Mathematically, we can write -
∠DBE = 1/2(arc BCD)
107 = 1/2(arc BCD)
arc BCD = 107 x 2
arc BCD = 214°
Now, we can write -
m(arc DEB) + m(arc BCD) = 360°
m(arc DEB) = 360 - 214
m(arc DEB) = 146°
Therefore, the measure of the arc DEB is equivalent to 146°.
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A bag contains 10 red marbles and 15 green marbles. If yuki selects a marble from the bag without looking,what is the probablity that she will pull out a res marble?
Answer:
1/25
Step-by-step explanation:
The probability is 1/25 because 10 red marbles plus 15 green marbles = 25 marbles in total. Therefore, the probability of choosing a red marble without looking is 1/25.
Answer:
The probability that Yuki will pull out a red marble is [tex]\( \frac{2}{5} \)[/tex].
Explanation:
To find the probability of selecting a red marble, you divide the number of red marbles by the total number of marbles in the bag.
Given:
- Number of red marbles = 10
- Number of green marbles = 15
Total number of marbles = Number of red marbles + Number of green marbles
Total number of marbles = 10 + 15 = 25
Now, to find the probability of selecting a red marble:
[tex]\[ \text{Probability} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} \][/tex]
[tex]\[ \text{Probability} = \frac{10}{25} \][/tex]
[tex]\[ \text{Probability} = \frac{2}{5} \][/tex]
ILL GIVE YOU BRAINLIEST!! Which number is rational?
Answer:
sqrt(64)
Step-by-step explanation:
The square root of 64 = 8 and 8 is a rational number
Answer:
C. √64
Step-by-step explanation:
The square root of 64 is rational. It is rational because the square root of 64 is 8. 8 is a rational number.
A restaurant served 80 entrees during dinner. Of the 80 entrees, 24 were fish. The restaurant serves about 720 dinner entrees in a week. About how many of these 720 dinner entrees should the manager expect to be fish?
A.
56
B.
104
C.
192
D.
216
Answer:
D
Step-by-step explanation:
We can set up a proportion because the "expected" amount should correspond to the sample amount.
[tex]\frac{24}{80} =\frac{x}{720}[/tex], where x is the number of dinner entrees that are fish
Cross-multiply:
80 * x = 24 * 720
80x = 17280
Divide both sides by 80:
x = 17280/80 = 216
The answer is D.
Hope this helps!
Answer:
D. 216
Step-by-step explanation:
Entrees : fish
80 : 24
720 : X
X/720 = 24/80
X = 720 × 24/80
X = 216
find the height of a triangle whose base is 11cm and its area is 88cm square
Answer:2
Step-by-step explanation:
Answer:
16 cm
Step-by-step explanation:
Area of a triangle=(b×h)/2
Height=2 (area)/base
H=2(88)/11
H=176/11
H=16 cm