Answers
Answer:
Angle ABD = 45 degrees
Angle DBC = 45 degrees
Step-by-step explanation:
If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:
angle ABD = Angle DBC
9 x + 9 = 12 x - 3
solve for x by subtracting 9x from both sides,
9 = 3 x - 3
and adding 3 to both sides:
9 + 3 = 3 x
12 = 3 x
divide both side by 3 to isolate "x":
12/3 = x
x = 4
And now we can find the value of each angle:
Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees
Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees
Related Questions
lines A and B are parallel lines find the measures of angle 1
Answers
Answer:
33Step-by-step explanation:
alternate angles are equal
see attached
The measure of ∠1 is 33° .
What is alternate interior angles?When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
According to the question
As given , lines A and B are parallel lines
therefore ,
∠1 = 33°
∠3 = 57°
they are between parallel line and opposite of transversal line
So, they are alternate interior angles and are equal .
Hence, The measure of ∠1 is 33° .
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The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answers
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answers
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
Answers
Hope this helps:)
Please help it would help me alot!!!
Answers
Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23
Step-by-step explanation:
Please help I would appreciate
Answers
Answer:
the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative
Please find the area and circumference of
the circle below
Answers
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answers
Answer:
[tex]f(0)=-2\\f(1)=e-1[/tex]
Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,
[tex]f(x)=e^x-3+2x[/tex]
Put [tex]x=0[/tex]
[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]
Put [tex]x=1[/tex]
[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]
When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data
Answers
Answer:
The linear function would be:
C = 10t + 2
where C is the cost and t is time in months
Step-by-step explanation:
4cm
2cm
6cm
Find the area please
Answers
Step-by-step explanation:
ummm where is the pic? like bruh
Answer:
48 cm
Step-by-step explanation:
Multiply 4x2x6 and get the answer of 48 cm.
The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?
Answers
Answer:
20.8333333
Step-by-step explanation:
6 x 20.8333333 = 125
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answers
Answer:
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Step-by-step explanation:
The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.
So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Write 1/8% as a decimal number Enter your number in the box
Answers
Answer:
it is 0.125
Step-by-step explanation:
......................
20 points & Brainliest
Why are rotations a rigid motion?
Answers
Answer:
RC,\α is a rigid motion.
Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.
the motion follows in a circularmanner with C as the center.
consider a point Q which changes to Q1 after rotation by an angle\alpha
Step-by-step explanation:
When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.
How many times greater is the product of 4 x 300 than the product 4 x 30
Answers
Answer:
10 times bigger
Step-by-step explanation:
because if you do 4 times 300 thats 1200
and if you do 4 times 30 then you get 120
and 120 times 10 is 1200 so there you go.
HOPED THIS HELPED!!!!!!!!! :D
Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?
Answers
Answer:
18%
Step-by-step explanation:
24-18% is 19.68 which means it took away $4.32.
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
Answers
63+5(8+1/5)
the 6 and 3 is not 63 it is 6 and a 3 in the corner.
Answers
At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager
Answers
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
Fraction form of probability: 10/15
Decimal form: 0.6 repeated
Percent form: about 66.67%
The probability that person is either a lifeguard or manager is 2/3.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.
Total = 2 + 8 + 3 + 2 = 15
So, P(lifeguard) = 8/15, P(Manager) = 2/15.
Then, P ( lifeguard or Manager)
= 8/15 + 2/15
= 10/15
= 2/3.
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Solving a System of Linear Inequalities
Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?
Answers
Y intercept is 0,-1/5
Answer:
y = 4/5x -1/5
Step-by-step explanation:
4x -5y = 1
-5y = -4x + 1
5y = 4x - 1
y = 4/5x - 1/5
Which relationships have the same constant of proportionality between Y and as the equation Y=5/2 X
Answers
Answer:
I'm pretty sure it's 10/4 but I'm not totally sure
Answer:
on Khan the answer is B,C,E
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answers
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
Is f^-1(x) = x/9 - 5/9 a function?
Answers
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?
Answers
Answer:
4.50
Step-by-step explanation:
2.25 plus 2.25 aka half
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answers
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
Plz help 30 points to whoever answers correctly. Write an equation of the parábola in intercept form. X-intercepts of 3 and 6 passes through (9,-9)
Answers
Answer:
k lemmee checkkkkkkkk
Add parentheses to make 6-9-2+3x6 equal to 17
Answers
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
Name the points which satisfy the conditions. The ordinate is zero.
Answers
9514 1404 393
Answer:
G
Step-by-step explanation:
The one point with a y-value of 0 is the one on the x-axis: G.
In a population of 271 Dd parrots, predators kill 55. What is the approximate fitness of the genotype?
Fitness of Dd: 20%
Fitness of Dd: 40%
Fitness of Dd: 60%
Fitness of Dd: 80%
Answers
Answer:
60%
Step-by-step explanation:
They killed quite a bit and a lot were left.
Please help ASAP.
Will mark brainliste
Answers
Answer:
i think its c but it could also be d sorry if im wrong T-T
Step-by-step explanation: