Answers
The value of "x" in the given triangles is 17.
We are given a triangle, ΔABC. The midpoint of the side AC is denoted by D. The midpoint of the side BC is denoted by E. The midpoints D and E are joined by a line segment. The line segment DE is parallel to the side AB. The triangles ΔABC and ΔDEC are similar triangles. The lengths of the sides of the triangle ΔDEC are half those of ΔABC. The ratio of the lengths of DE and AB is 1/2.
DE/AB = 1/2
(3x - 4)/(9x - 59) = 1/2
6x - 8 = 9x - 59
51 = 3x
x = 17
To learn more about triangles, visit :
https://brainly.com/question/2773823
#SPJ1
Related Questions
How does a domain restriction placed on a non-invertible function affect its inverse? drag a function or an interval into each box to correctly complete the statement.
Answers
A domain restriction placed on a non-invertible function affect its inverse.
Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x+3}-1[/tex], and the domain of the inverse function is [tex]\left[-3,\infty ][/tex]
A function will have an inverse if for each output, there is only one respective input.
The domain of the inverse is the range of the original function.
The function given is:
[tex]f(x) = (x+1)^{2} -3[/tex]
It's range is [tex]\left[-3, \infty][/tex], which will be the domain of the inverse.
To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1[/tex]
The inverse of the function is [tex]y = \sqrt{x+3} -1[/tex], and the domain of the inverse function is [tex]\left[-3, \infty][/tex].
To learn more about invertible function click here https://brainly.com/question/3831584
#SPJ4
a team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. is it necessarily true that two of the team members must have personal records that are within four inches of each other? what if there are four jumpers? heights are measured to within a precision of 1/4 inch.
Answers
The statement that two of the team members must have personal records that are within four inches of each other it is not true for three high jumpers, and true for four high jumpers.
1 foot = 12 inches
So, for three high jumpers the statement is not true. A counterexample,
First player = 6 feet
Second player = 6 feet 6 inches
Third player = 6 feet 11 inches
Thus, personal record each player have interval more than 4 inches of each other.
For four high jumpers the statement is true. Since there are 4 jumpers and 3 intervals by the pigeonhole principle, at least two of the four jumpers have intervals within four inches. For example, in the image, the new jumpers should be placed in areas A, B, C and this makes at least two of the four jumpers have an interval of four inches.
Thus, the statement is not true for three jumpers and true for four jumpers.
Learn more about pigeonhole principle here:
brainly.com/question/29242775
#SPJ4
Chloe is in the business of manufacturing phones. She must pay a daily fixed cost of $300 to rent the building and equipment, and also pays a cost of $75 per phone produced for materials and labor. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answers
The table of values and the equation for C, in terms of p, representing the total cost, in dollars are
p C(p)
0 300
1 375
2 450
3 525
4 600
and so on.
Given,
Chloe is in the business of manufacturing phones.
She pay a daily cost $300 to rent for the building and equipment.
and, also pays a cost of $75 per phone produced for materials and labor.
Now, According to the question;
How to make a table of values and the equation for C, in terms of p, representing the total cost, in dollars?
The given parameters are:
Cost per phone = $75
Fixed cost of labor and material = $300
The total cost is represented as;
C(p) = Fixed cost + Cost per phone x Number of phones
So, we have
C(p) = 300 + 75 * p
Evaluate
C(p) = 300 + 75p
Hence, Using the above equation, the table of values is
p C(p)
0 300
1 375
2 450
3 525
4 600
Learn more about linear equations at:
https://brainly.com/question/17055827
#SPJ1
6. A sunflower was 12 inches when first planted. Since then it has grown 34 of an inch each month.
A. Write a linear equation.
B. Identify the slope and y-intercept.
C. How tall was it after a year?
Answers
The linear equation will be y=34x+12 and the slop is 34 and y intercept is 12. And the sunflower will be 420 inches tall after a year.
Here, the sunflower was 12 inches when first planted and it grows 34 of an inch each month
So, the linear equation will be
y=34x+12
Where,
y=height
x=month
now,
the slope-intercept equation is
y=mx+c
Where,
m=slope
c=y intercept
Comparing this equation with equation (1)
We will get
m=34
c=12
so, the slope is 34 and y intercept is 12.
now,
The tree is 12 inches when it first planted and since then it grows 34 of an inch every month
So,
Height of tree after a year =12+34×12
Height of tree after a year = 12+408
Height of tree after a year = 420 inches.
Hence,
The tree will be 420 inches tall after a year.
To know more about linear equation refer to :
https://brainly.com/question/12788590
#SPJ9
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house.
How high up, to the nearest tenth of a foot, does the ladder reach on Mary's house?
A. 14.7
B. 14.8
C. 14.9
D. 15.3
Answers
Answer:
14.7
Step-by-step explanation:
hopes this helps please mark brainliest
Write a rate that represents the situation.
Need help on 5 & 6
Answers
Answer:
5. (6 hours)/(1 day)
6. (8 quarts)/(1 container)
Step-by-step explanation:
5. The number line shows both hours and days. It does not indicate why the relationship exists. Perhaps the hours are the ones worked in a day. What’s important is whether the relationship between the two is the same for all data pairs. E.g., 12/2 = 6; 36/6 = 6; 60/6 - 5, and so forth. They are all the same ratio, or rate: (6 hours)/(1 day)
6. The number line shows both quarts and containers. The relationship between the two is the same for all data pairs. E.g., 8/5, 16/10 or 8/5; 24/15 or 8/5; 32/20 or 8/5, and 40/25 or 8/5. They are all the same ratio, or rate: (8 quarts)/(1 container).
salma has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. each small cup holds 12 ounces of lemonade and each large cup hold 16 ounces of lemonade. salma sold 60 cups of lemonade totaling 920 ounces. determine the number of small cups sold and the number of large cups sold
Answers
If Salma sold 60 cups of lemonade with total 920 ounces, then the number of small cups is 10 and the number of large cups is 50.
The problem can be translated into a system of linear equations.
Let:
p = the number of small cups sold
q = the number of large cups sold
"Salma sold 60 cups" can be translated into equation:
p + q = 60 (equation 1)
"totaling 920 ounces" can be translated into equation:
12p + 16q = 920 (equation 2)
Multiply equation 1 by 12 then substracted from equation 2:
12p + 16q = 920
12p + 12q = 720 _
4q = 200
q = 50
Substitute q = 50 into equation 1:
p + 50 = 60
p = 10
Hence, the number of small cups = 10, the number of large cups = 50.
Learn more about equations here:
https://brainly.com/question/13729904
#SPJ4
I really need the answer to this question. What is n take away 5 times by 4? or: n-5*4
Answers
Answer: n-20
Step-by-step explanation: just multiply 5 and 4.
hope this helps!
please give brainliest!
l
Ashley's bill for dinner at a restaurant was $100. She left a 15% tip. What was the amount
of the tip?
Answers
Answer:
Step-by-step explanation:
ashleys bill was 100 so by knowing any percentage times 100 is itself ashleys tip was $15
Answer:
the amount on the tip is 15.00$
but when you add the amount of the total cost and the tip it would be $115 dollar they spend
Step-by-step explanation:
Find the slope of each line.
11. through (3, 5), parallel to y = 5x-1
12. through (-0.5, 0.5), perpendicular to y = -2x - 4
Answers
The slope is 5. The slope of a line parallel to this equation will be 5, regardless of its position.
To find the line that goes through the point (3,5) that has slope = 5.
y = 5x + b
now use the point to find 'b'
5 = 5(3) + b
b = -10
perpendicular: [tex]\frac{1}{2}[/tex]
[tex]y-0.5= \frac{1}{2} \times(x + 0.5)[/tex]
[tex]y - 0.5 = \frac{1}{2}x + 0.25[/tex]
[tex]y = \frac{1}{2}x+\frac{3}{4}[/tex]
What is Slope?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Find out more about Slope of line:
https://brainly.com/question/3493733
#SPJ13
Find the geometric mean between each pair of numbers. 8 and 12
Answers
The Geometric Mean between the pair of numbers 8 and 12 is 4√6 .
Geometric Mean between the numbers x and y is calculated using the formula ,
GM = √(x * y),
where GM represents the Geometric Mean
In the question ,
it is given that ,
the pair of numbers are 8 and 12 .
we need to find the geometric mean between them ,
By using the Geometric Mean formula from above ,
we get ,
GM = √(8 × 12)
GM = √96
GM = 4√6
Therefore , The Geometric Mean between the pair of numbers 8 and 12 is 4√6 .
Learn more about Geometric Mean here
https://brainly.com/question/3856884
#SPJ9
9
105°
C
Α΄
B
6
Calculate the measure of ZC in ABCA to the nearest tenth of a degree.
Answers
By using the law of sine, the measure of ∠C is 39°
Law of sine:
Law of sine refers the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given,
Here we have the triangle.
Now, we have to find the angle ∠C.
While we looking into the given diagram,
We have the length of,
AB = 6
AC = 9
∠B = 105°
So, based on the law of sine it can be written as,
=> sin 105° / 9 = sin x°/6
Apply the value of sin 105° = 0.97, then we get,
=> 0.97/9 = sin x° / 6
Cross multiply them, then we get,
=> 5.82/9 = sin x°
=> 0.64 = sin x°
=> x = sin⁻¹ (0.64)
=> x = 39°
To know more about Law of sine here.
https://brainly.com/question/17289163
#SPJ1
Members of a lacrosse team raised $1775. 50 to go to a tournament. They rented a bus for $901. 50 and budgeted $46 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament = 19 .
Given : amount raised by team = $1775.50
rent of bus = $901.50
budget for meal per player = $46
To find : the number of players the team can bring to the tournament
Equation :
taking bus charge as y - intercept ( since it does not depend on the no . of members riding on it )
taking meal amount as slope ( since it depends on the no . of members a team can bring to the tournament )
Let x be the no . of players a team can bring to the tournament .
Therefore , the equation is :
1775.50 = 46 x + 901.50
874 = 46 x
x = 19
Hence , the number of players the team can bring to the tournament = 19 .
To learn more on equation of line follow link :
https://brainly.com/question/13763238
#SPJ4
reflect shape A in the x-axis
Answers
Answer:
points: (4,-1) (1,-1) (4,-3)
Step-by-step explanation:
The function c(x) = 14x + 13 represents the cost (in dollars) of renting a surfboard, where x is the number of hours you rent
the surfboard.
a. Graph the function and identify its domain and range.
Answers
The domain of this function c(x) = 14x + 13 using interval notation is (0, ∞).
The range of this function c(x) = 14x + 13 using interval notation is (13, ∞).
How to identify the domain and range any graph?In Mathematics, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
Additionally, the vertical extent of any graph represents all its range values and they are always read and written from smaller to larger numerical values, and from the bottom of a graph to the top.
By critically observing the graph of this function shown in the image attached below, we can reasonably infer and logically deduce the following:
Domain = (0, ∞).
Range = (13, ∞).
Read more on domain here: brainly.com/question/17196520
#SPJ1
1.31 (a) possible coverage error: only employees in a specific division of the company were sampled. (b) possible nonresponse error: no attempt is made to contact nonrespondents to urge them to complete the evaluation of job satisfaction. (c) possible sampling error: the sample statistics obtained from the sample will not be equal to the parameters of interest in the population. (d) possible measurement error: ambiguous wording in questions asked on the questionnaire.
Answers
B. No attempt is made to contact noncorrespondents.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.Hence,B. No attempt is made to contact noncorrespondents.
learn more about probability click here:
brainly.com/question/13604758
#SPJ4
Write the equation of the line that passes through the points (1,-3) and (3,3)
Answers
The equation of line is y = 3x - 6
Define Equation of line.
A line in geometry is a collection of points that can be stretched infinitely in two different ways. To put it another way, a line is created by continually extending the two end points in any direction. As a result, we can assert that a line lacks end points. However, because it just has length and no width, it is a one-dimensional geometric form. Based on the information provided, we can create multiple forms of equations for lines algebraically, such as point slope form, slope-intercept form, and two point form. Two Point Form Formula,y - y₁ = m (x - x₁)
We have the given points,
(1, -3) and (3, 3)
Let, (x₁ , y₁) = (1, -3) and,
(x₂, y₂) = (3, 3)
Formula for equation of line is,
y - y₁ = m (x - x₁)
Where m is slope and for that we have formula for slope is
m = (y₂ - y₁) / (x₂ - x₁)
plug in the values,
m = (3 - (-3) ) / (3 - 1)
m = 6 / 2
m = 3
Now, we get the slope. Now, just put the values in equation of line formula
y - y₁ = m (x - x₁)
y - (-3) = 3 (x - 1)
y + 3 = 3x - 3
y = 3x - 6
Hence, the equation of line is y = 3x - 6
To read more about Equation of line.
https://brainly.com/question/19417700
#SPJ9
a baseball player averages 2 hits per game. The player already has 18 hits this season. another player has 22 hits so far this season and averages 1 hit per game. After how many games will both players have the same number of hits?
Answers
Answer: 20
Step-by-step explanation:
i got 100
Probability: Discrete, Binomial, Normal
IB Math Applications SL
1. Jae Hee plays a game involving a
biased six-sided die. The score for
the game, X, is the number which
lands face up after the die is rolled.
The table shows the probability
distribution for X.
a. Find the exact value of p.
Score x
P(X=x)
Name: Somatar
Date:
-3
1
18
-1
P
Period:
0
3
18
1 point: Correct p-value
b. Jae Hee plays the game once. Calculate the expected score.
1
1
18
1 point: Correct substitution into formula
2 points: Correct substitution and answer
c. Jae Hee plays the game twice and adds the two scores together.
Find the probability Jae Hee has a total score of -3.
2
18
Answers
The precise value of p is 4/18. Jae Hee's expected score in the game is 1.833. Jae Hee has a 1/162 chance of receiving a total score of -3. The likelihood that something will happen is defined as probability.
How to calculate Probability ?Probability is calculated by dividing the number of possible outcomes by the total number of outcomes. Probability and odds are distinct concepts. Odds are the probability that something happens divided by the probability that it does not happen. Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or a statement being true.Therefore,
Value of p is,
∈p = 1
1/18 + p + 3/18 + 1/18 + 2/18 + 7/18 = 1
14/18 + p = 1
p = 4 / 18
So the exact value of p is 4/18
Expected score of the game :
∈(x) = ∈xi pi
= -3 (1/18) - 1 (4/18) + 0 (3/18) + 1 (1/18) + 2 (2/18) + 5 (7/18)
= 33/18
= 1.833
Expected score of the game Jae Hee plays is 1.833
Calculate Probability of Jae Hee getting total score of -3
p (total score -3 )
= p(x= -3) and p(x=0) + p(x=0) and p (x=3)
= 1/18 × 1/18 + 1/18 × 1/18
=1/162
Probability of Jae Hee getting total score of -3 is 1/162
To learn more about Probability, refer to:
brainly.com/question/24756209
#SPJ13
Answer:
Step-by-step explanation:
Please help - giving extra points
4) The Opus Supreme Opera House has 300 seats. 90 of the seats are in the balcony.
What percent of the seats are in the balcony?
Pick the model that represents the problem.
0%
0%
90
%
?
90
What percent of the seats are in the balcony?
()
100%
300
100%
300
Answers
Answer: 30%; Second Model
Step-by-step explanation:
Since it is 90/300, simplified into 3/10
The percentage is 30% and the second model shows 3/10, the first one shows 2/5.
Find the solution to the linear equation.
9x8=9x+6
Answers
9 x 8 = 72
Subtract 6 from both sides
72 - 6 = 9x + 6-6
Simplify
66 = 9x
Divide both sides by the same factor
66 = 9x
66/9 = 9x/9
Simplify
X = 22/3
Answer: x = 22/3
Sorry if I didn’t do it right
Answer:
72=9x+6
x= 7.111111111111111111111111111111111111111111111111111111111111and on
Step-by-step explanation:
A salesperson's commission rate is 4%. What is the commission from the sale of %31,000 worth of furnaces
Answers
The commission on the sale of 31000 worth of furances when the rate of commission is 4% is given by 1240.
Given that, a salesperson's commission rate is 4%.
Sale of person is 31000.
So the commission of the that sales is = 31000*4% = 31000*(4/100) = 310*4 = 1240
Hence the commission of the sale is 1240.
To know more about Sale refer to:
https://brainly.com/question/78672
#SPJ9
A group of 60 people are going on a trip to an amusement park that has dollar coasters and water rides. The number of people who like roller coasters is 42, the number who do not like water rides is 23 and the number who do not like either kind of ride is 8. Determine which Venn diagram accurately represents the people going on the trip.
Answers
The no. of people whole likes only roller coasters is 19.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Let N(U) be the no. who likes at least one of the rides which is
N(U) = (60 - 8) = 52 as 8 people do not like either kind of ride.
Given, The number of people who like roller coasters is 42 and the number who do not like water rides is 23.
∴ The no. of people who only likes roller coasters is (42 - 23) = 19.
learn more about sets and Venn diagrams here :
https://brainly.com/question/28318748
#SPJ1
a month with 31 days has the same number of mondays and wednesdays.how many of the seven days of the week could be the first day of this month?
Answers
Answer:
sunday and saturday i believe
Step-by-step explanation:
lmk if it helps! :)
Part B
What is the ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B? Write the answer as a
fraction.
Answers
The ratio of the amounts is x/24.
The amount invested in company A is unknown. The amount is represented by the variable "x". The amount invested in company B is $24. We need to find out the ratio of the amount invested in company A to that of company B. We need the answer as a fraction.
Let the ratio be represented by the variable "r". A ratio compares two numbers. A ratio expresses how much of one thing there is in comparison to another. A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction denotes the number of components of a specific size.
r = x/24
Hence, the ratio of the amount invested in company A to that of company B is x/24.
To learn more about ratio, visit :
https://brainly.com/question/13419413
#SPJ1
In the diagram, the lines L and M appear to be parallel. How do you know for sure?
Answers
Proved that the line L and M are parallel lines
Here we have to prove that L and M are parallel
One angle at the point at F is given that 139 degrees
We know sum of angles on a straight line is 180 degrees
Then the other angle will be
139 + a = 180
a = 180 - 139
a = 41 degrees
Now consider the triangle and find the value of x
The sum of interior angles of a triangle is 180 degrees
then
(3x+8) + (3x) + (9x+7) = 180
3x+8 +3x +9x + 7 = 180
15x + 15 = 180
15x = 180 - 15
15x = 165
x = 165/15
x = 11
Then the value of angle 3x + 8 = 3 × 11 + 8
= 33 + 8
= 41 degrees
Before that we have solved the angle at f = 41 degrees, therefore both are equal angles which is called corresponding angles
Therefore, the line L and M are parallel
Hence, proved that the line L and M are parallel lines
Learn more about parallel lines here
brainly.com/question/12274210
#SPJ9
What is the degree of the polynomial below?
x +32x² + 4x² - 4x
A.
7
B.
6
C.
5
D.
4
Answers
Answer:
2
Step-by-step explanation:
Degree is the largest exponent = 2 (as written)
8–7. The block brake conit of a pin-connected lever and
friction block at B. The coefficient of tatic friction between
the wheel and the lever i m = 0. 3, and a torque of 5 N # m
i applied to the wheel. Determine if the brake can hold the
wheel tationary when the force applied to the lever i
(a) P = 30 N, (b) P = 70 N
Answers
If the brake can hold the wheel stationary when the force applied to the lever i
(a) P = 30 N -> No
(b) P = 70 N -> Yes
To hold lever,
x + Σ[tex]M_{O} = 0[/tex] [tex]F_{B}(0.15) - 5 = 0[/tex] [tex]F_{B} = 33.333 N[/tex]
Require
[tex]N_{B} = \frac{33.333}{0.3}[/tex]
= 111.1 N
Lever,
x + Σ[tex]M_{A} = 0[/tex] [tex]P_{Reqd.}[/tex](0.6) - 111.1(0.2) - 33.333(0.5) = 0
[tex]P_{Reqd.}[/tex] = 39.8 N
(a) P = 30 N < 39.8 N No
(b) P = 70 N > 39.8 N Yes
To learn more about force here:
https://brainly.com/question/7362815
#SPJ4
I’ll give brainlist!!!
What is the slope?
Answers
The slope of the line is 1/3
First we have to choose two points from the graph
The first point = (1, -5)
The second point = (7, -3)
The slope of the line is the change is y coordinate with respect to the change in x coordinate of the function
The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope of the line
[tex](x_1,y_1)[/tex] is the coordinate of the first point
[tex](x_2,y_2)[/tex] is the coordinate of the second point
Substitute the values in the equation
The slope of the line = (-3 - (-5) / (7 - 1)
= (-3+5) / 6
= 2 / 6
= 1/3
Hence, the slope of the line is 1/3
Learn more about slope of the line here
brainly.com/question/16180119
#SPJ1
HELPPPPPPPP!!! Picture included
Answers
The equation that could be used to find the measure of angle B is Sin B = √5/5.
According to the question,
We have the following information:
We have a right-angled triangle with all its sides given.
Now, in order to find the measurement of angle B, we will use trigonometric functions. Two functions Sin and Cos are given in options. So, we will find the values of angle B using these two.
Cos B = AB/BC
Cos B = 6/3√5
Cos B = 2/√5
Now, multiplying both the numerator and denominator by √5:
Cos B = 2√5/5
Now, this equation is not given in options. So, we will find the angle using Sin.
Sin B = AC/BC
Sin B = 3/3√5
Sin B = 1/√5
Now, multiplying both the numerator and denominator by √5:
Sin B = √5/5
Hence, the correct option is B.
To know more about measure of angle here
https://brainly.com/question/27681289
#SPJ1
