Answers
Answer:
The correct corresponding part is;
[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Step-by-step explanation:
The information given symbolically in the diagram are;
ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)
Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])
Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])
From which, we have;
∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∠B ≅ ∠D by CPCTC
Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC
Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]
Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]
Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Related Questions
Mammoth Cave in Kentucky has a depth of −124.1 meters. Suppose a hiker traveled to the bottom of the cave. How many meters did the hiker descend? __ m
Answers
Answer:
124.1 m
Step-by-step explanation:
Given that:
Depth of mammoth cave = - 124.1 meters
To travel to the bottom of the cave, hence, the hiker is at the maximum depth.
Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters
After withdrawing $58, Mark
had $200 dollars left in his
savings account. How much
money was in the account
before the withdrawal?
Answers
Write the equation of the perpendicular bisector of the segment formed by:
(-4, 3) and (8, -3)
Answers
Answer:
The equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
Step-by-step explanation:
Given the points
(-4, 3)(8, -3)First, we need to find the midpoint of the points (-4, 3) and (8, -3)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]
[tex]=\left(2,\:0\right)[/tex]
Thus, the midpoint of the points is: (2, 0)
Now, finding the slope between (-4, 3) and (8, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]m=-\frac{1}{2}[/tex]
Therefore, the slope m = -1/2
The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2
Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the slope 2 and the point (2, 0)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 0 = 2 (x-2)[/tex]
[tex]y = 2x-2[/tex]
Therefore, the equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
Point C is located at (-4, -6) on the coordinate plane. Point C is reflected over the y-axis to create point C'. What ordered pair describes the location of C''?
Answers
Answer:
(4,6)
Step-by-step explanation:
Since its reflected just remove the signs
The reflected coordinate points along the y-axis is C'(4, - 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know reflection over the y-axis changes (x, y) to (- x, y).
Given, Point C(-4, -6) is reflected over the y-axis.
∴ The reflected coordinate points C'(4, - 6).
learn more about transformations here :
https://brainly.com/question/11709244
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Julie made 40 chocolate
cupcakes and 32 vanilla
cupcakes. What is the
ratio of chocolate to
vanilla cupcakes in
simplest form? HELP ASAP
Answers
Answer:
5 to 4
Step-by-step explanation:
when it's asking for a ratio it's basically division
chocolate/vanilla = 40/32 = 5/4
5/4 is the same as 5:4 or 5 to 4
5/9&4/9=5 to 4
The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as
an expression of x.
Answers
Answer:
54x¹³Step-by-step explanation:
area = L x W
where L = 9x⁸
W = 6x⁵
plugin values into the formula:
Area = 9x⁸ * 6x⁵
= 54x¹³
The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:
Area = length × width
Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:
Area = (9x8) × (6x5)
To simplify the expression, multiply the coefficients and combine the variables:
[tex]Area = 54x^2 * 40x[/tex]
Now, multiply the coefficients:
[tex]Area = 2160x^3[/tex]
So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To know more about area, refer here:
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Tiffany's allowance is reduced $1.25 every time she forgets to clean her room. If she forgets to clean her room 7 times this month, by how much money is Tiffany's allowance reduced? A. $7.25 B. $8.75 C. $17.85 D. $18.75
Answers
Answer:
$8.75
Step-by-step explanation:
Tiffany allowance is reduced by $1.25 each time she forgets to clean her room
If she forgets to clean her room 7 times this month
Then her allowance is reduced by
= 1.25 × 7
= 8.75
Hence Tifanny allowance is reduced by $8.75
Answer:
Hence Tifanny allowance is reduced by $8.75
Which number line shows the solution of 5x- 25 <-15
Answers
Answer:
I would say C is correct.
Step-by-step explanation:
Hope this helps you and have a wonderful day:)
x+5y=5
2x-y=-4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
Answers
y = 2x
-6x + 3y = 16
Solve please
Answers
Answer:
(x,y) = ∅
Step-by-step explanation:
-6x+3(2x)=16
this equation equals to zero
therefore there are no solutions
Helllp,??????????????
Answers
Or
3x+9+10x=33
13x+9=33
13x=26
X=2
is the number -284.2 rational or irrational?
Answers
Answer: -284.2 is a rational number
Another fun game to do... copy and paste this on your page so others will have fun doing it too! Don’t leave anything out!
1. Think of a number
2. Double it
3.add 10
4. Half it
5. Take away the number you started with
6. Your answer is 5 Right?
Answers
Step-by-step explanation:
it worksss lolll
10
10×2
20+10
30÷2
15-10
yeahhh 5
great lolll
have a great day :)
write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest
Answers
Answer:
Thx for my points back
Step-by-step explanation:
Answer:
Thx
Step-by-step explanation:
for free points.....
PLEASE HELP
A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.
1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2
Answers
Answer:
Option (4)
Step-by-step explanation:
From the picture attached,
ΔABC is a right triangle.
Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.
Length of diameter AC = 58 ft
Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft
Area of the circular garden = πr² [r = radius of the circle]
= π(29)²
= 2642.08 ft²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(27)(50)[/tex]
= 675 ft²
Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle
= 2642.08 - 675
= 1967.08 ft²
≈ 1966 [Nearest value]
Option (4) will be the answer.
Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate
plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?
A. A'(1, -2), B'(4, -6), C'(4,-2)
B. A'(-1, -2), B'(-4,-6), C'(-4,-2)
C. A'(-1,2), B'(-4, 6), C'(-4,2)
D. A'(1, 2), B'(4, 6), C'(4,2)
Answers
Answer:
c
Step-by-step explanation:
y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answers
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.What is the rate of change of the linear equation 3.9x + y = 15.21?
A. -15.21
B. -3.9
C. 3.9
D.15.21
Answers
Help me please :( !!
Answers
Answer:
Step-by-step explanation:
Table
Time 3 6 9 12
Rainfall 2 4 6 8
Time is on the x axis
Rainfall is on the y axis
Slope = (y2 - y1)/(x2 - x1)
Slope = (8 - 2) /(12 - 3)
Slope = 6/9 = 2/3
Unit rainfall = 2 cm rainfall / 3 hours = 0.667 cm rainfall / hour.
HERE IS THE TEXT THERE IS MORE THO
Answers
Answer:
What exactly is this for?2. On Saturday morning the temperature outside was 4 degrees Fahrenheit. By noon, the temperature had risen 12 degrees, and then at 9 P.M., it dropped 17 degrees. Write an expression that this situation describes. What was the temperature at 9 P.M.? Explain how you could use the vertical number line as a tool to solve the problem.
Answers
Answer:
it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree
Can a line be drawn in the plane that is not a function?
Ο Νο
O Yes
Answers
Answer:if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Step-by-step explanation:So it is a no ok.
IF YOU DO ALL THREE AND U ANSWER THEM CORRECTLY ILL GIVE YOU 50+ POINTS
❤️
Answers
Answer:
30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens
Answer:
1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)
2. If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)
3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)
6x+3 what is the value of x?
Answers
Answer:
3
Step-by-step explanation:
6x+3
6+6+6=18
or 6 divided by 2 which is 3
When you buy multiple stocks, you have to multiply your gains and losses by how many stocks you own. For example, if you own two stocks of Netflix, and the stock increases in value by $10, you have gained $20 (To calculate this you do $10 x 2).
Suppose you own 5 stocks of Netflix. If the value of Netflix stock increases by $30 after you buy it... how much money have you made?
Answers
(30 x 5)
Carla rolls an unbiased 8 sided dice 100 times. Estimate the number of times she will roll a prime number.
Answers
So 4/8 = 50% of the number
So 0.5 x 100 = 50 times
Answer:
the numbers on an 8-sided die are 1, 2, 3, 4, 5, 6, 7, and 8
2, 3, 5, and 7 are prime numbers
half the numbers are prime
you should roll a prime number half of the time (theoretically)
if you roll the die 100 times, you (theoretically) should get a prime number 50 times, which is half of the time
what is negative 5 plus 6
Answers
We know it will be positive because we are adding a bigger positive amount
Answer:
negative 5 plus positive (normal) 6 is 1
the answer is 1
Step-by-step explanation:
6 is a positive number, it makes things higher.
5 is a negative number, it makes things lower
this is also the same as 6 - 5, which if you had higher numbers could be a negative number depending on which is bigger. since 6 is bigger in this case, the answer is positive. if it was negative 7 plus 6, the answer would be -1 or negative one. if it was negative six plus positive six, the answer would be zero since they cancel each other out.
Help me please...........:)
Answers
Answer:
4/3
Step-by-step explanation:
7/8y-6=8
solve for y
Answers
Answer:
y=55/64
Step-by-step explanation:7
8y−6
=8
Step 1: Multiply both sides by 8y-6.
7=64y−48
64y−48=7(Flip the equation)
64y−48+48=7+48(Add 48 to both sides)
64y=55
64y
64
=
55
64
(Divide both sides by 64)
y=
55
64
Check answers. (Plug them in to make sure they work.)
y=
55
64
(Works in original equation)
Answer:
y=
55
64
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.
Answers
Answer:
1/52
Step-by-step explanation:
52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52