erved.
6
What is the reason for step 3 of this proof?
OA
Alternate Interior Angles Theorem
OB.
Corresponding angles in congruent triangles are congruent.
OC. For parallel lines cut by a transversal, corresponding angles are congruent.
OD.
Vertical Angles Theorem
OE.
SAS criterion for congruence
Vertical Angles Theorem is the reason for step 3 of this proof. Hence, option D is correct.
What is Vertical Angles Theorem?Theorem of vertical angles or angles that are vertically opposing According to the theorem, two opposing vertical angles that are created when two lines cross one other are always equal to one another.
As AE = EC and BE = ED (by the definition of bisection) suggest that triangles AEB and CED are congruent (by the SAS criterion for congruence),
It is claimed in step 3 of the provided proof that mAEB = mCED. The corresponding angles of two triangles are equal when they are congruent. Since mAEB = mCED, it follows that the measure of angle AEB must be equal to the measure of angle CED.
This step is crucial because it proves the equality of the respective angles in the congruent triangles AEB and CED. This equality is then utilized in step 4 to prove that the two triangles satisfy the SAS criterion, which is a congruence criterion.
Steps 5 through 11 then employ the congruence of triangles AEB and CED to demonstrate that the quadrilateral ABCD is a parallelogram.
Thus, option D is correct.
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The complete question is given below-
What is the reason for step 3 of this proof?Given: and bisect each other.
Prove: Quadrilateral ABCD is a parallelogram.
Proof:
Statement Reason
1. and bisect each other. given
2. AE = EC
BE = ED definition of bisection
3. mAEB = mCED
4. ABE CDE SAS criterion
5. ACD CAB Corresponding angles of congruent triangles are congruent.
6. converse of Alternate Interior Angles Theorem
7. mBEC = mAED Vertical Angles Theorem
8. BEC DEA SAS criterion for congruence
9. DBC BDA Corresponding angles of congruent triangles are congruent.
10. converse of Alternate Interior Angles Theorem
11. Quadrilateral ABCD is a parallelogram. definition of a parallelogram
a Alternate Interior Angles Theorem
B. Corresponding angles in congruent triangles are congruent.
C. For parallel lines cut by a transversal, corresponding angles are congruent.
D. Vertical Angles Theorem
E. SAS criterion for congruence
Plsss help I’m so confused
Answer:
The answer is 1001101
Step-by-step explanation:
77 base 10 to base 2 is 1001101
Write 320 g as a fraction of 2 kg. Give your answer in its simplest form.
Answer:
4/25
Step-by-step explanation:
320 grams over 2kj(which is 2000grams) is 320/2000, simplified is 4/25
Please help me!
1. Determine whether the following table represents an exponential function. Explain why or why not.
X: 0, 1, 2, 3
Y: 12, 16, 32, 52
Does the table represent an exponential function? Why or why not?
A. No, all of the X values have a constant difference, but all of the Y values do not have a constant ratio
B. Yes, all of the X values have a constant ratio, but all of the Y values have a constant difference
C. No, all of the X values have a constant ratio, but all of the Y values do not have a constant difference.
D. Yes, all of the X values have a constant difference, and all of the Y values have a constant ratio
2. Determine whether the rule represents an exponential function. Explain why or why not.
Y=9x5^x
Choose the correct answer below
A. Since the independent variable X is the exponent, Y=9×5^x represents an exponential function
B. Since the independent variable X is not the base, Y=9×5^x does not represent an exponential function
C. Since the independent variable X is the base, Y=9×5^x does represent an exponential function
D. Since the independent variable X is not the exponent, Y=9×5^x does not represent an exponential function
3. A population of 55 foxes in a wildlife preserve quadrupled in size every 11 years. The function y=55x4^x, where X is the number of 11 year periods, models the population growth. How many foxes will there be after 22 years?
After 22 years there will be ____ foxes (type an whole number)
4. Since 2006, the amount of money spent that restaurant in a certain country has increased at a rate of 8% each year. in 2006, about $360 billion were spent at restaurants. If the trend continues, about how much will be spent at restaurants in 2015.
About $______ billion will be spent at restaurants in 2015 if the trend continues.
5. A bird drops a stick to the ground from a height of 90 feet. The function h=-16t^2+90 gives the sticks approximate height H above the ground, in feet, after T seconds. Add about what time does the stick hit the ground?
The stick hits the ground at about _____ seconds. (Round to one decimal place as needed)
6. During halftime of a soccer game, a slingshot launches T-shirt at the crowd. A T-shirt is launch from a height of 3 feet with an initial upward velocity of 80 ft./s. Use the equation h(t) = -16t^2+80t+3, where t is time in seconds and h(t) is height. How long will it take the T-shirt to reach its maximum height? What is the maximum height?
The T-shirt takes _____ Second(s) to reach its maximum height. (type an integer or a decimal)
The T-shirts maximum height is_____ feet above the field. (type an integer or a decimal)
Please help me I really need to get this done today! I will give you everything I have!
Answer:
a
Step-by-step explanation:
Find the value of x.
Select the correct answer from each drop-down menu.
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.
This is not the line of best fit because the line . Anna could get a better fit by the y-intercept and the slope.
This is not the line of best fit because the line is not through the middle of the data points.
What is line of best fit?
The line of best fit is a line through a scatter plot of data points that best expresses the relationship between those points.
In this case, this is not the line of best fit because the line is not through the middle of the data points.
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f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
Answer:
3=1×5-2
Step-by-step explanation:
you minus 5-2 is 3 and one threes three
1. Create an ungrouped frequency distribution table with the data from the survey concerning the age of the people, which attend the gym. The results of a survey are presented below.
Answer:
firstly ,we need to put the set of ages into categories
Example: (Category1 = age 19 ; category2 = age 20 ; ........ )
→ The frequency of a certain value (age) is equal to the number of times that specific age appears in the data set.
Step-by-step explanation:
Abc car share inc. offers car sharing for a $199 yearly fee plus $14/hr for the
use of its car share. what is the total cost for a person who purchases a car
share and uses it for 72 hours total time?
The total cost for a person who purchases a car share and uses it for 72 hours is $1207.
What is the total cost?The total cost is a function of the yearly fee and the cost per hour.
Total cost = yearly fee + (total hours the car was used for x cost per hour)
$199 + (72 x $14)
$199 + $1008 = $1207
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What is the slope of the line that passes through (-2, 7) and (4, 9)
Answer: The slope is 1/3
Step-by-step explanation:
m = y2-y1/x2-x1
m =9-7/4+2
m=2/6
m=1/3
Answer:
The slope is 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
m=9-7/4-(-2)
m=2/6
m=1/3
Evaluate
11
% of
953.23
m
Give your answer rounded to 2 DP.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{11\% of 953.23}}{\left( \cfrac{11}{100} \right)953.23}\implies 104.86[/tex]
Find the area of the polygon.
2 cm
3 cm
1 cm
3 cm
4 cm
Answer:
the area of the problem is 20
please help me with this if you can? thanks alot :)))
The probabilities are:
P(red) = 5/24P(orange) = 0 P(blue) = 1/3P(not green)= 17/24P(green or black) = 11/24P(not yellow) = 1.How to find the probabilities?
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
5 red marbles.7 green marbles.4 black marbles.8 blue marbles.So the total number is 5 + 7 + 4 + 8 = 24.
Then:
P(red) = 5/24P(orange) = 0/24 = 0 (because there are 0 orange marbles).P(blue) = 8/24 = 1/3P(not green) = (24 - 7)/24 = 17/24P(green or black) = (4 + 7)/24 = 11/24P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).If you want to learn more about probability, you can read:
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3. () Triangle ABC is transformed to create Triangle A'B'C'. What type of rigid transformation is this? (1 pt)
If triangle A'B'C' is reflected over the y-ands, what are the coordinates of triangle A"B"C"? (3 pts)
-
A' (1.3)
B' (4.1)
A" (_
B (______
C' (6,5)
-
C" (
111
Answer:
see the attachment photo!
4. Reid is building a fence around a square portion of his
yard with an area of 200 square feet. Which point
below best represents the side length of one side of the
fence?
A. Point A
B. Point B
C. Point C
D. Point D
The point that best represents the length of one side of the fence of the square portion of the garden area is: B. Point B.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
Area of the square portion of his yard = 200 square feet
Side length of one side of the fence = √200 = 14.1 feet.
From the number line given, point B best represents 14.1 feet. Therefore, the side length is best represented by: B. Point B.
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3. In the expression 25-5+7x3 ÷ 1, which operation should be done first?
O division
O addition
O subtraction
O multiplication
Answer:
division
Step-by-step explanation:
please mark me as brainlest
Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
The function that is positive for the entire interval [–3, –2] is the graph of the function (b)
How to determine the function?See attachment for the proper representation of the available options
For a function to be positive on the interval [-3,-2];
It means that the y values must be in the positive quadrant from x = -3 to x =-2
From the list of options, we have:
The y values from x = -3 to x =-2 is at the positive quadrant for the second graph i.e. option B
Hence, the function that is positive for the entire interval [–3, –2] is the graph of the function (b)
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4.3 Mr Mokwebo 's two sons, Refentse and Tokelo have just passed grade 7 and grade 9 respectively. He will give them some money to buy chocolates at Jubilee Mall as a reward for their hardwork. Refentse will receive R21 less than Tokelo. Altogether they will need R253 to buy the chocolates. Set up an equation and calculate how much each will get. Let Tokelo 's money be x 4.3.1 Write down Refentse 's money in terms of x. (1) 4.3.2 Set up an equation and calculate how much each will get. (4) [22] Total: 60
The amount of money each of Mr Mokwebo 's two sons; Tokelo and Refentse will get is R116 and R95 respectively.
How to write and solve equation:Amount needed to buy chocolate = R253Tokelo's money = xRefentse's money = x - 21Total amount needed = Tokelo's money + Refentse's money
253 = x + (x - 21)
253 = x + x - 21
253 = 2x - 21
253 - 21 = 2x
232 = 2x
divide both sides by 2
x = 232/2
x = 116
Therefore,
Tokelo's money = x = R116
Refentse's money = x - 21
= 116 - 21
= R95
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tìm số hữu tỉ
(x-5/6)^2=1/36
Answer:
x = [tex]\frac{2}{3}[/tex] , x = 1
Step-by-step explanation:
(x - [tex]\frac{5}{6}[/tex] )² = [tex]\frac{1}{36}[/tex] ( take square root of both sides )
x - [tex]\frac{5}{6}[/tex] = ± [tex]\sqrt{\frac{1}{36} }[/tex] = ± [tex]\frac{1}{6}[/tex] ( add [tex]\frac{5}{6}[/tex] to both sides )
x = [tex]\frac{5}{6}[/tex] ± [tex]\frac{1}{6}[/tex] , then
x = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
x = [tex]\frac{5}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{6}{6}[/tex] = 1
Write the following expression without negative exponents and without parentheses.
(5x)^−3
Answer:
[tex] \dfrac{1}{125x^3} [/tex]
Step-by-step explanation:
[tex] (5x)^{-3} = \dfrac{1}{(5x)^3} = \dfrac{1}{5^3x^3} = \dfrac{1}{125x^3} [/tex]
The chart below shows conversion between yards and inches.
Conversion Chart
Yards
Inches
3
108
6
?
8
288
11
396
What is the missing value in the table?
144
180
198
216
step by step explanation :
to converting yard to inches you have to multiply whatever number u are given in yard by 36 to get your figure in inches
o multiply whatever number u are given in yard by 36 to get your figure in inches so we multiply 6 *36 to give us 216
o multiply whatever number u are given in yard by 36 to get your figure in inches so we multiply 6 *36 to give us 216answer:
216
Shape A can be transformed to shape B by a rotation 90° clockwise about (-1, 1) followed by a translation by vector
(a b)
Find the values of a and b
The values of a and b if the coordinate is rotated 90° clockwise is -1 and -1
Rotation of coordinatesThe rotation is a transformation technique that changes the position of an object in an xy plane. If the coordinate (x, y) is rotated 90° clockwise, the resulting coordinate will be at (-y, x)
If the coordinate (-1, 1) is therefore rotated 90° clockwise about the origin, the resulting coordinate will be (-1, -1).
Comparing
a = -1 and b = -1
Hence the values of a and b if the coordinate is rotated 90° clockwise is -1 and -1
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How many combinations exist of the letters W, X, Y, Z, taking two at a time?
04
06
012
Step-by-step explanation:
C(4,2)
Use combinations formula,
c(n,r)=n!/r!(n-r)!
c(n,r)=4!/2!(2!)
[tex]c = \frac{4 \times 3 \times 2 \times 1 }{2 \times 1 \times 2 \times 1} [/tex]
[tex]c = 3 \times 2 \times 1[/tex]
[tex]c = 6[/tex]
A. Z
B. <
C. S
D. >
E. =
F. 2
55? 35
Answer:
ABCD=EF
Step-by-step explanation:
A. Z
B. <
C. S
D. >
E. =
F. 2
55? 35
how do you do .22 x .4
Answer: 0.088
Step-by-step explanation:
There are two ways. My way is complicated, but never wrong!
0.22 converted to a fraction is 22/100,
explanation: you know this because the denominator must be 10, 100, 1000, 10000 etc... and must be one more digit than the numerator.
and 0.4 into a fraction is 4/10. but we have to have same denominators so we multiply 4/10 by 2 4 x 10 = 40; 10 x 10 = 100.
now multiply...
40 x 22 = 880
100 100 100
and turn it into a decimal, by reversing how we turned it into a decimal.
so it's 0.088!
5/8 multiplied by 4/10 (pls answer asap)
Answer:Flying potatox x plus y yes
Step-by-step explanation:
Answer:
the answer is 1/4 if the question is a fraction
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. the total length of the trip is 190.08 miles.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip.
If Leah fell asleep after they had traveled 132 miles
So,
44% of 132
= 0.44 x 132
= 58.08
Add in the miles they already traveled
132 + 58.08
= 190.08
Thus, the total length of the trip is 190.08 miles.
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A water tank that initially contained 200 gallons of water is leaking water at a constant rate of 4 gallons per minute. For the amount of time the tank has water, which of the following function models gives the number of gallons, G. in the tank t minutes after the leak started?
a. g(t) = 196 - t
b. g(t) = 200 - 4t
c. g(t) = 200t - 4
d. g(t) = 200t - 4r^2
e. g(t) = 200(3/4)^t
Answer:
b. g(t) = 200 - 4t
Step-by-step explanation:
I don't know how to explain this, but here is the answer.
9 + 4(x + 2) - 3x
What is the term for best describes 3
An expression is defined as a set of numbers, variables, and mathematical operations. The term that best describes 3 is coefficient.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of 3 in the expression, 9 + 4(x + 2) - 3x, is that it is the coefficient of x in the third term.
Hence, the term that best describes 3 is coefficient.
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Pls help no links or troll answers ill report them
Answer:
insufficient
Step-by-step explanation:
What is the question?