ANSWER
57°
EXPLANATION
We have that angles D and E are vertical angles.
Vertical angles (also known as vertically opposite angles) are angles that are on opposite sides of each other when two lines cross.
Vertical angles are equal.
This means that angles D and E are equal.
The measure of angle E is 57°.
That is the answer.
Bod and coa are _____ angles
Answer:
opposite angles
Step-by-step explanation:
They are formed in the intersection of lines AD and BD.
Answer:
opposite angles
Step-by-step explanation:
they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.
What is the value of y when x equals 10 (y=2x+1)
Answer:
y= 21
Step-by-step explanation:
2*10+1= y
20+1= 21
y = 21
At a sale, coats were sold for $180 each. This price was 90% of a coat’s original price. How much did a coat originally cost?
Answer: 200
Step-by-step explanation:
Jenna drives on average 46 miles per day with a standard deviation of 5.3 miles per day. Suppose Jenna's miles driven per day are normally distributed. Let X = the number of miles driven in a given day. Then X - N(46, 5.3). If necessary, round to three decimal places.
Provide your answer below:
Suppose Jenna drives 41 miles on Monday. The Z-score when x - 41 is______ . The mean is________ This z-score tells you that x = 41 is________ standard deviations to the left of the mean.
Answer:
Suppose Jenna drives 41 miles on Monday. The Z-score when x - 41 is \(-0.943\). The mean is \(46\) This z-score tells you that x = 41 is \(0.94\) standard deviations to the left of the mean.
Step-by-step explanation:
From the question we are told that
The mean is \(\= x = 46\ miles / day\)
The standard deviation is \(\sigma = 5.3 \ miles \ per \ day\)
The value of = 41
Generally the z-score is mathematically represented as
\(z = \frac{x-\= x}{\sigma }\)
substituting values
\(z = \frac{41-46}{5.3}\)
\(z = - 0.943\)
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Answer choices are:
A. BC congruent to EF
B. AC congruent to DF
C. AB congruent to DE
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
If the height of a parallelogram is 11m and the
base is 6.9m, what is the area of the parallelogram?
Answer:
\( \huge{ \boxed{ \tt{75.9}\sf \: {m}^{2} }}\)
Step-by-step explanation:
\( \underline{ \sf{Given}} : \)
\( \star{ \sf{ \: Height \: of \: a \: parallelogram \: (h) \: = 11m}}\)
\( \star{ \sf{ \: Base \: of \: a \: parallelogram \: (b) \: = 6.9m}}\)
\( \underline{ \sf{Finding \: the \: area \: of \: the \: parallelogram \: having \: height \: of \: 11m \: and \: base \: of \: 6.9m}} : \)
\( \boxed{ \sf{Area \: of \: parallelogram = base \: ∗ \: height}}\)
\( \mapsto{ \sf{Area \: of \: parallelogram = 6.9m \: ∗ \: 11m}}\)
\( \mapsto{ \sf{Area \: of \: a \: parallelogram = 75.9 \: {m}^{2} }}\)
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
\( \huge\sf {\dag Question} \)
If the height of a parallelogram is 11m and the base is 6.9m, what is the area of the parallelogram?
\( \huge\sf {\dag Solution } \)
\( {\underline {\underline {\rm { Given:}}}} \)
h ( height of the parallelogram ) = 11mb ( base of the parallelogram ) = 6.9m\( {\underline {\underline {\rm { To \: find :}}}} \)
Area of the parallelogram
\( {\underline {\underline {\rm { Calculation :}}}} \)
We know that,
\( {\underline {\underline {\rm {\red { Ar. \: of \: parallelogram = h \times b}}}}} \)
Substituting values-
\( \sf {\implies Ar. \: of \: parallelogram = 11 \times 6.9}\)
\( \sf {\implies Ar\: of \: parallelogram = 75.9{m}^{2}}\)
_________________________________Evaluate the expression 54⁰
Answer:
1
Step-by-step explanation:
All numbers to the power of 0 are 1.
PLS GIVE BRAINLIEST
Find the surface area of the box shown
Find an equation for the line below.
Answer:
Y=1.5x+0.5
Step-by-step explanation:
Y=mx+b
rise over run= 9 divided by 6= 1.5= the slope
y-intercept= 0.5= were it croses on the x-axis
20 5 4 2 X 2.5 12 1.5 3
Answer:
x = 10
Step-by-step explanation:
if two prisms are similar then the side lengths are proportional
2/4 = x/20 cross multiply expressions
40 = 4x divide both sides by 4
10 = x
Choose the correct correspondence
C
R
S
T
Answer:
r
Step-by-step explanation: its r
Answer: T
Step-by-step explanation: triangle c <-> T triangle
stuff must be across from each other
) In a geometric progression, the sum of the first two terms is equal to 16. The sum to infinity is equal to 25. Find the possible values of the first term.
There are no possible real values for the first term 'a' that satisfy both equations.
Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.
The sum of the first two terms can be expressed as:
a + ar = 16
To find the sum to infinity, we can use the formula:
Sum to infinity = a / (1 - r)
Given that the sum to infinity is 25, we have:
25 = a / (1 - r)
We now have two equations:
a + ar = 16
a / (1 - r) = 25
We can solve these equations simultaneously to find the possible values of 'a'.
From the first equation, we can factor out 'a' to get:
a(1 + r) = 16
Dividing both sides of the second equation by 25, we have:
a / (1 - r) = 1
We can rearrange this equation to get:
a = 1 - r
Substituting this expression for 'a' in the first equation, we get:
(1 - r)(1 + r) = 16
Expanding the equation, we have:
1 - r^2 = 16
Rearranging the terms, we get:
r^2 = -15
Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.
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Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
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The image of the point
(−1,7) under a translation is
(0,11). Find the coordinates of the image of the point
(1,−4) under the same translation.
Answer:
(2, 0)
Step-by-step explanation:
First, find how the other point was transformed:
The x coordinate increased by 1, and the y coordinate increased by 4.
Now, do these same transformations to the other point, (1, -4)
x coordinate: 1 + 1 = 2
y coordinate: -4 + 4 = 0
So, the new point is (2, 0)
Solve p/-1+ 17 = 13 for p.
Answer: 208
Step-by-step explanation:
\(\frac{p}{-1+17} =13\)
\(\frac{p}{16} =13\)
\((16)\frac{p}{16} =13(16)\)
\(p=13*16\)
\(p=208\)
\(\large\displaystyle\text{$\begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{=-P} \end{gathered}$}\)\(\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17=13} \end{gathered}$}\)\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17-17=13-17} \end{gathered}$}\)\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{-P=-4} \end{gathered}$}\)\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{-p}{1}=\frac{-4}{-1} } \end{gathered}$}\)\(\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P=4} \end{gathered}$}}\)\(e + \frac{1}{8} = \frac{5}{8\\}\)
Tommy throws a ball from the balcony of his apartment down to the street. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball, in meters per second, while it's in the air?Question options:A) 2∕3B) –2∕3C) –3∕2D) 3∕2
Solution
The average rate of change of the height of the ball is given by
\(\frac{f(b)-f(a)}{b-a}\)Here,
\(\begin{gathered} a=0 \\ b=10 \\ f(a)=f(0)=15 \\ f(b)=f(10)=0 \end{gathered}\)\(\begin{gathered} AverageRate=\frac{f(b)-f(a)}{b-a} \\ AverageRate=\frac{0-15}{10-0} \\ AverageRate=\frac{-15}{10} \\ AverageRate=-\frac{3}{2} \end{gathered}\)The average rate is -3/2
Option C
What's the equation of this sequence 4,8,16,32,64,128,256
Answer:
n x 2
Step-by-step explanation:
n x 2
4,8,16,32,64,128,256 , 512,1024,2048...
Determine the value of x in the figure below:
x = 3
x = 1.7
x = 5
x = 4
Hello!
x = the intersection
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
Answer: X=4
Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4
Find f(0) if f (x) = log base 10 of 10 + 9^x + (x - 2)(x - 1)
Answer:
Step-by-step explanation:
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (Please walk me through the question! With words please so i understand, i don't speak math)
14 units
21 units
28 units
35 units
Answer:
28
Step-by-step explanation:
In this question, the units are just the number of boxes/grid-squares. So count how many boxes they have to walk between each step. You start at the top left location, and go around to all of them counting the boxes they pass.
they should all add up to 28 boxes, or 28 units!
2(x-3)+3=6x-5 help
find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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to the nearest inch, find the perimeter of a 10-degree sector cut form a ircular disac of raus 11 inches
Answer: 24 inches
Step-by-step explanation:
The arc length of the sector is \(\frac{10}{360}(2\pi)(11)=\frac{11\pi}{18}\).
Adding the two radii, the perimeter is \(\frac{11\pi}{18}+2(11) \approx 24\) inches.
Find the surface area of the following prism.
Answer:
4224
Step-by-step explanation:
SA=(24×16:2×2)+(20×2×60)+(24×60)
A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, “Buy 1 bow and 1 roll of wrapping paper for only $6.00.” A second sign in the store states, “5 bows and 1 roll of wrapping paper will only cost $10.00.”
In dollars and cents, the cost of a single roll of wrapping paper costs $
.
Answer:
3.00
Step-by-step explanation:
One bow and and 1 roll of wrapping paper cost 6.00$
so the roll by itself would cost 6.00$
6x^2 + 2x = 0 aiudajjffjjfivjzdhasadñojdva
Answer:
silly question has no answer
I need help this is 6-4 ex use dot....
Based on the dot plots, it appears that students generally did more push-ups this year than last year.
The range of the push-ups completed this year is 12, while the range of the push-ups completed last year is only 10.
How to explain the informationThis means that there is a greater spread of values in the data set for this year, with some students completing many more push-ups than others. In the data set for last year, the values are more evenly distributed, with most students completing between 5 and 10 push-ups.
The range of a data set affects the shape of the dot plot by determining how spread out the values are. A wide range will result in a dot plot that is more spread out, while a narrow range will result in a dot plot that is more compact. In the case of the push-up data, the wider range of values for this year results in a dot plot that is more spread out than the dot plot for last year.
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