Answers
Given:
Figure of a triangle.
To find:
The values of x.
Solution:
In the figure, we have an angle bisector.
According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Using angle bisector theorem, we get
[tex]\dfrac{x}{7}=\dfrac{15}{14}[/tex]
Multiply both sides by 7.
[tex]x=\dfrac{15}{14}\times 7[/tex]
[tex]x=\dfrac{15}{2}[/tex]
[tex]x=7.5[/tex]
Therefore, the value of x is 7.5 units.
Related Questions
Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 7 comedies, 7 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 4 children's movies
Answers
Answer:
6188
Step-by-step explanation:
Number of children's movies = 4
Number of comedy movies = 7
Number of mystery movies = 7
Number of horror movies = 5
Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies
To find:
Number of different combinations to rent 9 movies out of which 4 are children's movies
Solution:
Number of movies left to be rented = 9 - 4 = 5
Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17
Now, there are a total of 17 movies out of which 5 are to be selected.
Therefore, we can use:
[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]
where, [tex]n = 17[/tex]
[tex]r = 5[/tex]
[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]
Brainliest Question Of The Day:
Chen is making some bread, his brother, sister, little brother ate some bread. they ate 15 bread altogether. there was 7 loafs left. how many bread did Chen made?
Hint: 1 loaf has 12 pieces of bread
Correct answer for brainliest:)
Answers
Answer:
9?
Step-by-step explanation:
They ate 15 bread..
so if 1 loaf = 12 pc of bread,
they ate 1 loaf and 3 peace’s of another loaf.
their was still 7loafs left so he made
9 loafs if their was 7 whole lofs left, becasue they cut them into peace’s of bread?
i need help pls help me
Answers
Answer:
8
Step-by-step explanation:
A store receives customer satisfaction ratings that range between 0 and 100. In the first 13 ratings the store received, the average customer satisfaction rating was 75. What is the least value the store can receive for the 14th rating and still be able to have an average of at least 84 for the first 21 ratings?
Answers
Answer:
Step-by-step explanation:
From the given information:
For the first 10 ratings, the average value is 75.
For maintaining the average of 84 ratings for the first 21st rating, we have:
Total rating for 21 units = 84 * 21 = 1764
For 10 units = 84 *10 = 840
Now, the initial 10 unit average = 75 * 10 =750
The first 10 unit + last 10 unit = 840 + 750 = 1590
The difference = 1764 - 1590 =174 unit
So, in the 14th rating, he has to go with 174 units.
What is the area of this figure? *
15 m
5 m
8 m
8 m
Answers
Answer:
Where is the picture of the figure ?
Answer:
where’s pic
Step-by-step explanation:
?
Write this sentence as an equation?
Six less than 4 times a number gives 18
Answers
Answer:
6-4 times x=18
btw x=9
Answer:
4x - 6 =15
Step-by-step explanation:
I will use "x" as our variable to represent the number we are trying to find.
Let's take the problem piece by piece.
Six less than four times a number.
If we are using x to represent our number, we know that when we do four times that number we are multiplying x times 4, which is the same as writing "4x."
Next we know that we are taking six less than 4x. Six less than means we will be subtracting 6 from our 4x, which is the same as writing 4x - 6.
Finally, we know that six less than 4x (4x - 6) equals 15. Now we have a full equation:
4x - 6 =15
what is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15
Answers
Answer:
mean: 19.66667
mode: 12
median: 18
range: 37
An online shopping club has 11,200 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function R
to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # members. monthly fee.
Answers
Answer:
Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)
Step-by-step explanation:
Monthly revenue = Number of members * Monthly fee ......... (1)
Where;
Number of members = 11,200
Monthly fee = $7
For each $1 monthly increase in membership fee, we have
For 1 month, one dollar the decrease = 400 * 1 = 400
For 2 months, 2 dollar increase will lead to decrease of 400* 2 = 800 members
Therefore, for x months
Innrease in membeship fee or price increase = 7 + x
Decrease in the numbers of members = 400x
Substitute the values into equation (1), we have:
Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)
Choose all the expressions that are equivalent to 3(2 + 11)
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22
Answers
convert 5/4 into a decimal
Answers
Answer:
Step-by-step explanation:
The answer is 1.25
Ravi buys pounds of flour. How many ounces of flour does he buy?
Answers
There is 16 ounces in each pound, how ever many pounds it is multiply 16 by the number of pounds,
Step-by-step explanation:
how ever many pounds it is multiply 16 by the number of pounds,
Question 14 (5 points)
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
Question 14 options:
A)
y = ½x + ½
B)
y = –½x + ½
C)
y = 2x + 2
D)
y = –½x – ½
Answers
Slope = 1/2
Y = 1/2x + b
Plug in the point
0 = -1/2 + b, b = 1/2
Solution : y = 1/2x + 1/2
The answer is A
Which equation represents a line parallel to the line shown on the graph?
Answers
Step-by-step explanation:
b
help pls
(screenie below)
Answers
Answer:
I thinks the answer is D nvm it's D
__ + 15 - 15 = 21
what is the blank number
Answers
Answer:
Step-by-step explanation:
21 is the blank number as +15 and -15 cancels out
Answer:
the answer is 21
Step-by-step explanation:
2.S.3 In a behavioral study of the fruitfly Drosophila melanogaster, a biologist measured, for individual flies, the total time spent preening during a 6-minute observation period. The following are the preening times (sec) for 20 flies:54 34 24 10 16 52 76 33 31 46 24 18 26 57 32 25 48 22 48 29 19 (a) Determine the mode (s). (b) Calculate the range. (c) Construct a dotplot of the data
Answers
Answer:
Step-by-step explanation:
The raw data given can be properly expressed by a frequency table. The frequency table formed from the data given is attached to this answer.
From the frequency table,
(a) The modes of the data are 24 and 48. Thus, the data is said to be bimodal.
(b) Range = height value - least value
= 76 - 10
= 66
Range = 66
(c) A dot plot is a pictorial graph of the plot of the given data. The plot of the given data is attached to this answer.
i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
xxx yyy
666 222
121212 444
303030 101010
(Choice B)
B
xxx yyy
333 1.81.81, point, 8
777 4.24.24, point, 2
999 5.45.45, point, 4
(Choice C, Checked)
C
xxx yyy
444 1.21.21, point, 2
888 2.42.42, point, 4
131313 3.93.9
Answers
Answer:
The answer is C
Step-by-step explanation:
i also use khan
Answer:
table C
Step-by-step explanation:
each one is multiplied by .30
:)
The next Collection we will begin working on will be Collection 5, "Decisions That Matter." This Collection begins on page 251 in your textbook. Before you turn to that page, take a moment to consider the title of the Collection. What types of passages might you expect to find in this Collection? What are decisions that matter? Have you made decisions that matter? If so, what are some examples?
Turn to page 251 in your textbook. You will see an image and a quotation. How do the Collection opening image and quotation work together to make a connection? What do they have in common? What message do they send when presented together?
In this discussion board, you should complete two posts:
Original Post
Minimum of two paragraphs (4-6 sentences each) responding to the questions posed above (underlined).
Explain your thinking/reasoning.
Consider adding real life examples.
Reply to a classmate
Minimum of one paragraph (4-6 sentences) in which you elaborate on a classmates ideas, provide relatable examples or real life experience, share your opinion, or respectfully present a differing opinion.
Replies such as, "I agree," will not receive credit.
Answers
Answer:
Hope this helps ^w^
Step-by-step explanation:
Jews or Jewish people are an ethnoreligious group and Hebrews of historical Israel and Judah. Jewish ethnicity, nationhood, and religion are strongly interrelated, as Judaism is the ethnic religion of the Jewish people, while its observance varies from strict observance to complete nonobservance. This is amazing religion, how everything is in place in a neat way. the worldwide Jewish population reached a peak of 16.7 million, representing around 0.7 percent of the world population at that time, which is a ton. defines itself as a Jewish and democratic state in the Basic Laws, Human Dignity and Liberty in particular, which is based on the Declaration of Independence. Israel's Law of Return grants the right of citizenship to Jews who have expressed their desire to settle in Israel. Despite their percentage of the world's population, Jews have significantly influenced and contributed to human progress in many fields, both historically and in modern times, including philosophy, ethics, literature, politics, and cinema, medicine, and science and technology, founded Early Christianity and had a profound influence on Islam. Jews have also played a significant role in the development of Western Civilization. If you thought that was crazy watch until you hear the English word "Jew" continues Middle English '. These terms were loaned via the Old French ', which itself. In my opinion, I enjoy learning about different parts of the world. And as myself, I feel like we all should be equal no matter what race are are.
TELL ME IF YOU NEED MORE
2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.
Answers
Answer:
25 presents.
Step-by-step explanation:
First subtract 2.7(4) from 30.
30 - 2.7(4) = 19.2 meters
Now, convert 19.2 into centimeters.
There's 100cm in 1m, so 19.2 meters can be found by doing:
19.2 x 100 = 1920 cm.
Now, do 1920 divided by 75:
1920/75 = 25.6
Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.
solve the question below 33
Answers
Answer:
The value of x(perpendicular) is 17.80
Step-by-step explanation:
Given triangle is a right angled triangle as one of the angles is 90°
Also according to the reference angle 54°,
Hypotenuse = H = 22
Perpendicular = P = x
We can use the trigonometric ratio of sine as it involves both known value perpendicular and hypotenuse.
So,
[tex]sin\ 54 = \frac{P}{H}\\sin\ 54 = \frac{x}{22}\\0.8090 = \frac{x}{22}\\x = 0.8090*22\\x = 17.798[/tex]
Rounding off to nearest hundredth
x = 17.80
Hence,
The value of x(perpendicular) is 17.80
What is the measure of an interior angle of a regular 10-gon?
Answers
Answer:
Step-by-step explanation:
What is the largest integer n such that (n^2-38) / (n +1) is an integer?
a. 36
b. 38
c. 72
d. 76
e. None of these
Answers
Answer:
a. 36
Step-by-step explanation:
for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.
we check with the options
option a n=36 sutisfies the above condition.
(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36
I need number 7 and 8 answered
Answers
please answer correctly no trolls!
Answers
Answer:
Yes
Step-by-step explanation:
16.5-15.<3.8
1
1 point
Write the fraction as an equivalent decimal.
273
100
type your answer...
Answers
Answer:
2.75 is this correct I don't understand the question very much
need help with box and whiskers plot pls ill give brainliest (answer all 4 questions if can)
Answers
2. 25
3. 40
4. 30
Andre purchased 1 quart of lemonade
from a concession stand for $1.50.
Which shows the rate for 6 quarts of
lemonade?
Answers
Answer:
7
Step-by-step explanation:
the table shows information about the number of tires needed for a number of cars. complete the table. write the rule of the table
I need this ASPA
Answers
Answer:SAMEEEEEEEEEEE UHHHHHHHHH
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
kjhvg
.
Step-by-step explanation:
l
Find the value of a/b/c if a=1/3, b=1/2, c=1/6
Answers
Answer: The answer is 0.1111111111111
Step-by-step explanation:
You will need to set the table and make your bed today. This is not always the case
because you set the table every 3 days and you make your bed every other day. When is
the next time you will have to do both activities on the same day?
Answers
Answer:
after 6 days
Step-by-step explanation: