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An equilateral triangle has a side length of 40.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answers
Answer:
x=12
y = 4
Step-by-step explanation:
3x + y = 4x - 2y
x = 3y
y= 1/3x
3x + y = 40 3x + y = 40
3(3y) + y = 40 3x + (1/3x) = 40
9y + y =40 10/3x = 40
10y = 40 x = 12
y= 4
Answer:
We know that all sides of the equilateral triangle is equal.
Given :---
An equilateral triangle has a side length of 40.
Another side of the same triangle measures
3x + y.
The third side of the same triangle measures
4x - 2y.
According to the above problem, the equation are
3x+y=40........(i) and 4x-2y=40.........(ii)
Divide the equation (ii) by 2, we get
2x-y=20..........(iii)
Now solving for x and y we get,
3x+y=40.......(i)
2x-y=20........(iii)
5x =60
x=60/5
x=12
Putting the value of x in equation in equation (iii) we get
24-y=20
y=24-20
y=4
The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.
Hence, the value of x is 12 and y is 4.Related Questions
HELP PLEASE !!! :)))))
Answers
Answer: the person has high blood sugar Levels
Step-by-step explanation:
3x + 4y =12 and 2x +6y = 18.
Answers
3x + 4y = - 12 = 0
x + 3y = - 9 = 0
Enter the number that makes the equation true.
Answers
2. The farmer from Explore Activity 3 would like to have a better estimate of
the number of trees per acre. This time, the farmer decides to choose 20
acres at random. Use the table to simulate the farmer's random selection
and find a new estimated average for the number of trees per acre.
(Explore Activity 3)
Answers
Answer:
Step-by-step explanation:
2[tex]2x^{2} -3x[/tex]
Answers
[tex]a=\sqrt{b+6[/tex]
Answers
please help and explain how you did it
Answers
To find the angles, you have to solve for x. You’re already given that angle A is 76. To find the others, you know that angle C is 180-(16x+16) since it’s supplemental to the exterior angle. Then, you know the sum of the angles of the entire triangle is 180, so add up A, B, and C
A+B+C=180
76+6x+(180-16x-16)=180
240-10x=180
-10x=-60
x=6
So to find angle B, you use 6x or 6(6)=36.
To find angle C, you use 180-(16x-16) or 180-16(6)-16=68
So now match up the angles with their corresponding sides to find the length from shortest to longest.
Angle A (76) corresponds with BC
Angle B (36) corresponds with AC
Angle C (68) corresponds with AB
Again, the higher the degree, the longer the corresponding side, so AC is shortest, AB is next, and BC is the longest.
In a orchestra , 10% the musicians play brass instruments. 15% play woodwin and, %5 play percussion .The other 28 musicians olay stringed insturments.
how many musicians are in the orchestra altogther?
Answers
Firstly, add up the percentages:
10%+15%+28% ( don’t worry about the percentage sign)
= 53% that would be the percentage of the musicians+Woodwind+percussion
28 other play stringed instruments, what you do is u want to change 53%to a normal number , so 53% is out of 100 , so 53/100x100= 53 , and 53+28= 81.
—There are 81 musicians altogether .
Mr. Washington is buying a gallon of milk for $3.99 and some boxes of cereal for $4.39 each. If Mr. Washington has
$20, how many boxes of cereal can he buy?
Answers
Answer:
3
Step-by-step explanation:
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Answers
Factor out the greatest common factor
Answers
Answer:
too ;long
Step-by-step explanation:
sory lol
Help on 6 and 7 plz.....
Answers
Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection
performed and the scale factor.
A)
To obtain quadrilateral W"X"Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 3.
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
c) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 2.
D) To obtain quadrilateral W X Y Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/3.
Answers
Answer:
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)
Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).
The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
If quadrilateral WXYZ is reflected across the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
If you have $100 and then get $40 more, what is the percent change?
Answers
Answer:
40%
Step-by-step explanation:
40 is 40% of 100, you don't need a calculator for that, so, it's a 40% increase
hope this helps:)
7x.
5x+18
find the size of the smallest angle
Answers
where are the anglessssssssss
Below are five questions from a survey of MBA students. Answers were written in the blank at the left of each question. For each question, state the data type (categorical, discrete numerical, or continuous numerical) and measurement level (nominal, ordinal, interval, ratio). Explain your reasoning. If there is doubt, discuss the alternatives. _____ Q11 What is the age of the car you usually drive
Answers
Complete question :
Q11. What is the age of the car you usually drive? (years).
Q12.) About how many times in the past year did you attend formal religious services?
Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).
Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).
Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)
Answer:
Continous, ratio
Discrete, Ratio
Categorical, ordinal
Categorical, nominal
Categorical, ordinal
Step-by-step explanation:
Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The
Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.
The measurement scales include ;
Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.
The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.
The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other
Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :
Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5
1. continuous numerical, ratio
2. discrete numerical, ratio
3. categorical, ordinal or interval
4. categorical, nominal
5. categorical, ordinal or interval
just did the question! hope future students are helped
Im Timed Help Pls I need help with math problem
Answers
Answer:
35.36 i think
Step-by-step explanation:
40%x68=27.2
20%x27.2=5.44
27.2+5.44=32.64
68-32.64=35.36
$35.36
Which expression means the same as "25 less that 5y"
Answers
Answer:5y-25
Step-by-step explanation:
Answer:
5y - 25
Step-by-step explanation:
that expression shown 25 less than 5y
hope this helps...
Which of the following equations correctly describes the graphed line?
y = -1/2x - 5
y = -1/2x + 5
y = 1/2x + 5
y = 1/2x - 5
Answers
Answer:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptGiven the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
(x₁, y₁) = (4, 7) (x₂, y₂) = (-4, 3)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
Out of 1,400 students, 60% have a dog. How many students have a dog?
Answers
Answer:
840
Step-by-step explanation:
Answer:
840 students have a dog
Step-by-step explanation:
0.60 * 1400=
840 have a dog
extra answer: 560 do not have a dog
Brianna used two congruent parallelograms and a square to create the
figure shown.
Answers
Answer: the awnser is 33 3/4
Step-by-step explanation: im literally doing the same test
The area of a parallelogram can be found by finding the product of its height and base. The area of the resulting figure is 105/4 sq. ft.
What is a Parallelogram?A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.
Each side of the square is given 4 1/2 ft,
And the height of each parallelogram 1 1/2 ft.
Now, the area of square is (side)^2 and the area of parallelogram is height × base.
Thus, area of given figure is given as,
Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)
= 105/4 sq. ft.
Hence, the area of the given figure is 105/4 sq. ft.
To know more about parallelogram refer to,
https://brainly.com/question/19187448
#SPJ2
What is the area of a rectangular floor that is 7'-3" long and 4'-2" wide?
Answers
Answer:
4350 in^2
Step-by-step explanation:
hope this helps :)
Write an equation in slope
intercept form that passes
through (-5, -4) and
(-2,-7).
Answers
Answer:
y = x + 1
Step-by-step explanation:
slope/m = -3/3 = -1
b/y-inter = 1
ANB Leasing is planning to lease an asset costing $210,000. The lease period will be 6 years. At the end of 6 years, the salvage value is estimated to be $30,000. The asset will be depreciated on a straight-line basis of $30,000 per year over the 6-year period. ANB's marginal income tax rate is 40%, but its average tax rate is only 31.5%. Assuming ANB Leasing requires a 12% after-tax rate of return on the lease, determine the required annual beginning of the year lease payments. a. $52,653 b. $45,609 c. $46,120 d. $31,592
Answers
Answer:
52653
Step-by-step explanation:
SKFN SNZc ZBSIC HNSDIPBV DVNSBNCNSVB
what is the correct solution of
4 - 2x = -2
+4 +4
2x = 2
2 2
x = 6
Answers
Lol
CAN ANYONE PLEASE HELP ME AND TELL THE ANSWERS
Answers
PLEASE help, i have limited time
Answers
Answer:
standard form: = -3x7 + y^2 = 12 - x^2
Step-by-step explanation:
Hi, Which angles are supplementary??????
Answers
im not sure btw
State whether the following mapping represents a function. Then give the domain and range.
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Let us create the table from the given mapping
x y
2 20
2 40
4 40
3 30
From the table, it is clear that the input x = 2 is repeated twice. In other words, the input x = 2 is duplicated.
i.e. at x = 2, y = 20 and at x = 2, y = 40As we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, the given relation/mapping DOES NOT represent a function.
Determining the domain of a relation:
We know that the domain of the relation is the set of all the x-coordinates of the given points or ordered pairs.
Thus, the domain of the relation in ascending order is:
Domain D = {2, 3, 4}
Please note the duplicated elements in the domain or range of a relation are written only once.Determining the range of a relation:
We know that the range of the relation is the set of all the y-coordinates of the given points or ordered pairs.
Thus, the range of the relation in ascending order is:
Domain D = {20, 30, 40}
1. Which inequality could describe the data set shown below ? { 200,300,400,500} x = 200 x > 200
Answers
Answer:
X>1
Step-by-step explanation: