Line DCE is parallel to line AB
a) Find the size of angle ABC
b) Find the size of angle DCA
c) Calculate the size of angle ACB
Answers
Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Related Questions
True or False?
k = 2 is a solution to the inequality 8k + 4 > 18.
Answers
Answer:
True
Step-by-step explanation:
Substitute 2 with k
8(2)+4
16+4
20 is greater than 18
20>18
We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied
was education level, which was recorded as 'illiterate," "primary," and "secondary." What type of
variable is education level in this example?
Answers
Answer:
Categorical data.
Step-by-step explanation:
Variables can be classified as:
Quantitative: If the variable assumes numeric values.
Categorical: If the variable assumes labels.
In this question:
'illiterate," "primary," and "secondary" are labels, which means that in this example, education level is an example of categorical data.
Education level is a type of categorical variable.
StatisticsA categorical variable is a quantity that has been measured on a nominal scale or on an ordinal scale, but whose values do not represent measurable quantities, so cannot be summed up into totals. The values that a categorical variable can take therefore only consist of names, whether or not the names of the categories to which the values belong.
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=7900(1.05)^x
Answers
Answer:
5% increase
Step-by-step explanation:
Write the recurring decimal 0.5 as a fraction in its simplest form
Answers
Answer:
Step-by-step explanation:
0.555... = 5/9
John is planning on building a shelf in the shape of a right triangle. He wants the shelf to be 99 inches at its widest and 4040 inches long. He believes the diagonal will be 41 inches. Is he accurate?
Yes, because when we perform Pythagorean theorem we get 4141 inches for the hypotenuse.
No, because when we perform Pythagorean theorem we get 4040 inches for the hypotenuse.
No, because we do not have enough information to solve the problem.
Yes, because when we perform Pythagorean theorem we get 4141 inches for the long leg.
Answers
x=?..................
Answers
228-180=x=48
Step-by-step explanation:
since x is alternating with the 228- the angle and angles on a straight line is equal to 180 therefore x is 228 - 180 which is equal to 48
(x + 3)2 = 3
Which of the following is the correct solution to the equation above?
Answers
x+3=3/2
x=3/2-3
x=-3/2
Remove the parenthesis
Move the constant to the right
2x = 3 - 6
2x = 3-6
Calculate
2x = -3
=
X = -3/2 or -1 1/2
How many terms are in this expression?
-1 - 8a²b?
Answers
Answer:
2 terms
Step-by-step explanation:
2
Hope this helps :)))))
concert tickets cost $30,$40 or $50 if you buy a ticket online you pay an extra $3 as a booking fee. what percentage of each tickets price is the booking fee?
Answers
Answer:
$30 = 10%
$40 = 13.34%
$50 = 16.67%
Step-by-step explanation:
To find the answer you divide the cost of the ticket by the booking fee to get your answer.
The booking fee of $30 is 10%,$40 is 7.5% and $50 is 6%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths.
The percentage of x of the y is given as,
x/y × 100
Thus, a percentage of $3 of $30 will be,
3/30 x 100 = 10%
The percentage of $3 of $40 will be,
3/40 x 100 = 7.5%
The percentage of $3 of $50 will be,
3/50 x 00 = 6%.
Hence "The booking fee of $30 is 10%,$40 is 7.5% and $50 is 6%".
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James wants to tile his floor using tiles in the shape of a trapezoid. To make
the pattern a little more interesting he has decided to cut the tiles in half
along the median. The top base of each tile is 13 inches in length and the
bottom base is 19 inches. How long of a cut will John need to make so that
he cuts the tiles along the median?
A. 16 inches
B. 3 inches
C. 6 inches
D. 32 inches
Answers
The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False
Answers
Answer:
True l True-----------------^~^
10
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x+3
4
7a) Enter ONLY the numerical value of your answer below. If there are more than
one value for x, enter another value under 7b below."
Your answer
7b) If there are more value for x, enter another value for x below. Click next to
skip this part if there's no other value for x.
Answers
martemat 20 e7 72gsys y3823 485 u
There are 16 ounces in 1 pound. Learn to convert pounds to ounces.
Answers
Answer:
Since the are 16 ounces in a single pound, when converting there be 16 ounces for every pound.
Step-by-step explanation:
For example 1 pound = 16 ounces
2 pound = 32 ounces
3 pound = 48 ounces etc.
Use substitution to solve the systems
y=5x
x+y=-6
x+2y=8
3x-4y=4
Answers
1.(-1,-5)
2.(4,2)
Sovle: 10 -2x = -30
Please use subsitution
Show your steps to solve the equation
Answers
-2x = -40
2x = 40
x = 20
answer: x=20
10-2x=-40
-10. -10
-2x=-40
-2x/-2=-40/-2
x=20
Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator
Answers
Answer:
Step-by-step explanation:
[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]
Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
Answers
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
A student read the first 150 pages of a book that is 450 pages long.
What fraction of the book does the student have left
Answers
Answer:
1/3
Step-by-step explanation:
the book is 450 pages long
the student read 150 pages
so he read 150/450=1/3
Answer:
2/3
Step-by-step explanation:
150x3=450
so 2 thirds
Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $67.50 in interest how long did she leave the money in the account
Answers
Answer:
5.66 years
Step-by-step explanation:
450 x 1.025^(n) = 450 + 67.50
450 x 1.025^(n) = 517.50
1.025^(n) =(517.50 / 450)
1.025^(n) = 1.15
n = ln(1.15) / ln(1.025)
n = 5.66
Answer:meep
Step-by-step explanation:
meep
The family size bottle of sunscreen holds 12 fluid ounces (fl oz) of sunscreen. the regular bottle holds 75% less. how many fewer fluid ounces does the regular bottle hold?
Answers
Answer:
9
Step-by-step explanation:
12×0.75=9
Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2
miles. Show that at least twice he had to be running at a rate of 11 miles per hour.
Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.
Calculus AB AP
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Time taken = 2 hours 18 minutes
18 / 60 = 0.3 hours
Hence, time taken = 2.3 hours
Speed = distance / time
Speed = 26.2 / 11.3 = 11.39 mi/hr
Hence, according to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39
Since initial and final velocity is 0 ;
The runner attains a speed of 11 mi/hr between :
(0, 2.3) and (t, 2.3)
Mr. O. ran the Disney Marathon the AB AP is (0, 2.3) and (t, 2.3).
Given Data: Time taken = 2 hours 18 minutesTime taken =18 / 60
Time taken = 0.3 hours
Hence,
time taken = 2.3 hours
Speed = distance / timeSpeed = 26.2 / 11.3
Speed = 11.39 mi/hr
According to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39 Since initial and final velocity is 0 ;
The runner attains a speed of 11 mi/hr between : (0, 2.3) and (t, 2.3)
Thus, the AB and AP is (0, 2.3) and (t, 2.3)
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There are about 1024 stars in the universe. Each galaxy has approximately the same number of stars as the Milky Way galaxy.
About how many galaxies are in the universe? Write your answer as a power.
Answers
Answer:
100
Step-by-step explanation:
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Answer:
There are about 10^13 galaxies in the universe
Step-by-step explanation:
After kicking, one coach likes to play practice games with 6 players on each team. She doesn't like any team to have more or fewer than 6 players and she doesn't like anyone to be left off a team. What are two possible numbers of players who must show up to practice so that the coach can make these teams?
Answers
Answer:
The explanation is given below:
Step-by-step explanation:
The computation of the two possible numbers of players is shown below:
6 × 2 = 12
6 × 3 = 18
6 × 4 = 24
6 × 5 = 30
6 × 6 = 36
It can be any of them
These are the possibilities
Estimate the product by first rounding each number to the highest place value. 26.7 × 4.8
Answers
Answer:
150
Step-by-step explanation:
26.7 round to 30
4.8 rounds to 5
30x5 = 150
Answer:
130
Step-by-step explanation:
you times 16.7*4.8 to get 128.16
you round to get 128.2
round again to get 128
round again to get 130
that is all you can round up
9.999 round off to the nearest 1000
Answers
Answer:
0
Step-by-step explanation:
9.999 rounded to the nearest 1000 is 0
Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. We take a simple random sample of 36 seniors and calculate the sample mean homework hours per week. If you discover that Northside High has only 200 seniors, which of your three answers would no longer be correct
Answers
If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answers
Answer:
Rounded to the nearest integer, there are 32 boxes of labels left.
Step-by-step explanation:
Since there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain, we can determine how many boxes of labels remain through the following mathematical operations:
3/4 = 0.75
100 = 125
25.75 = X
25.75 x 125/100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, there are 32 boxes of labels left.
3
The teacher estimated that she would have 68 students this school year. She actually had 74.
What is the percent error?
A 2.08%
B
6%
8.11%
D 191.89%
Answers
Answer:
c
Step-by-step explanation:
Find the product of (X-6) (x + 6x + 36).
- 216
c. x - 36
+ 216
d. x2 - 36
Which of the following is the cube of ( 2x - 1)?
a. 8x + 12x + 6x +1
c. 8x® - 12x2+
b. 8x + 12x + 6x-1
d. 8x® - 12x +
Answers
Answer:
[tex]7x^{2} -6x-216[/tex], [tex]8x^{3} -12x^{2} +6x-1[/tex]
Step-by-step explanation:
For question 1, use the FOIL method. [tex]7x^{2} -6x-216[/tex]
For question 2, also use the FOIL method - the answer is [tex]8x^{3} -12x^{2} +6x-1[/tex]
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find the sequence of -1, 1, __, 5, __
Answers
the pattern is +2 to each number