Answers
Applying the triangle proportionality theorem, the value of x and the value of y are:
C. y = 5, x = 10.
How to Apply the Triangle Proportionality Theorem?Since lines m and n are said to be parallel lines, therefore, according to the triangle proportionality theorem, the ratios below can be created.
4/12 = y/15 [proportional sides]
Cross multiply
(y)(12) = (4)(15)
12y = 60
Divide both sides by 12
12y/12 = 60/12
y = 5
x = 15 - y
Plug in the value of y
x = 15 - 5
x = 10
Thus, applying the triangle proportionality theorem, the value of x and the value of y are:
C. y = 5, x = 10.
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Related Questions
Can someone help me pls
Answers
The correct solution of the expression 3/4 ( 6x - 4) = 1/2 (x + 4) with the property that justify each step is shown below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)
Now, Solve the expression as;
⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)
⇒ 9/2x - 3 = 1/2x + 2 By Distributive property
⇒ 9/2x - 3 - 1/2x = 1/2x + 2 - 1/2x Subtraction property of equality
⇒ (9/2 - 1/2)x - 3 = 2 Combine like terms
⇒ 4x - 3 = 2 Subtraction property
⇒ 4x - 3 + 3 = 2 + 3 Addition property of equality
⇒ 4x = 5
⇒ 1/4 × 4x = 1/4 × 5 Multiplication property of equality
⇒ x = 5/4
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why is the sky blue? why is the water blue?
Answers
The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.
Why does the sky appear blue and the water blue?The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).
When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.
Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).
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No
0.7
What’s the percentage
Answers
Answer: 70%
Step-by-step explanation:
0.7
----- x 100% = 70%
1
Answer:
70%
Step-by-step explanation:
When turning a decimal into a percent always bring the decimal point two places to the right.
0.7.0.
070%
70%
Select the correct answer.
What is one way the author creates tension in the passage?
A. by explaining Mini's experience through her own point of view as a five-year-old girl
B. by establishing the restrained and distant relationship that Mini has with her mother
C. by illustrating the intimidating and unfamiliar appearance of the Cabuliwallah
D. by describing Mini's unusual shyness and fear upon interacting with the Cabuliwallah
Answers
Which of the following is an example of the Commutative Property? 2x + 3x = 5x 5xy = 5(xy) 5z - 3x = -3x + 5z 3(a + b) = 3a + 3b
Answers
From the given examples 5z - 3x = -3x + 5z and 5(xy) = 5(xy) are following the commutative property.
According to the given question.
We have some equations
2x + 3x = 5x
5xy = 5(xy)
5z - 3x = -3x + 5z
3(a + b) = 3a + 3b
Here, we have to find which equation is following the commutative property.
As we know that, the commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
For, example 4 + 5 gives 9, and 5 + 4 also gives 9.
From the given example the equation
5z - 3x = -3x + 5z is following the commutaive property of addition.
And, 5(xy) = 5(xy) is following the commutative property of multiplication.
Hence, from the given examples 5z - 3x = -3x + 5z and 5(xy) = 5(xy) are following the commutative property.
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Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answers
Answer: 157.19
Step-by-step explanation:
F(x) =2x^2+12x-6 Does this function have a minimum or maximum value? What is this minimum or maximum value?
Answers
Let's compare the given function with the model for a quadratic equation:
\(\begin{gathered} f(x)=ax^2+bx+b \\ a=2,b=12,c=-6 \end{gathered}\)Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
\(\begin{gathered} x_v=-\frac{b}{2a}=-\frac{12}{4}=-3 \\ \\ y_v=2\cdot(-3)^2+12\cdot(-3)-6 \\ y_v=2\cdot9-36-6^{} \\ y_v=-24 \end{gathered}\)Therefore the minimum value is -24.
The exponent in “3w9” is
Answers
Answer:i dont realy know im just tryna do my work lol
Step-by-step explanation:
What is (1-2)???????????????
Answers
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
its the same as 2 - 1 you just add the - sign to your answer
hope this helps
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0 y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answers
The differential equation dy/dt = y(3-y) smug all of the given conditions.
One possible autonomous differential equation with equilibrium solutions at y=0 and y=3, and with y' > 0 for 0 < y < 3 and y' < 0 for -∞ < y < 0 and 3 < y < ∞, is:
dy/dt = y(3-y)
We can see that y=0 and y=3 are equilibrium solutions by setting dy/dt = 0 and solving for y:
dy/dt = y(3-y) = 0
y = 0 or y = 3
To check the sign of y', we can use the derivative of y(3-y) with respect to y: d/dy (y(3-y)) = 3 - 2y
For y < 0, we have y(3-y) < 0, so d/dy (y(3-y)) < 0, which says that y' < 0.
For 0 < y < 3, we have y(3-y) > 0, so d/dy (y(3-y)) > 0, which implies that y' > 0.
For y > 3, we have y(3-y) < 0, so d/dy (y(3-y)) < 0, which implies that y' < 0.
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Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks
Answers
Answer:
30w+200=1000
Step-by-step explanation:
95% of what number is 114?
Answers
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 618 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Answers
The value of the test statistic is given as follows:
z = 4.47.
How to obtain the test statistic?The equation to calculate the test statistic using the z-distribution is given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the expected value.n is the sample size.The parameters for this problem are given as follows:
\(\overline{p} = 0.59, p = 0.5, n = 618\)
p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.
Then the test statistic is obtained as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)
z = 4.47.
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(PLZ help)
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
Answers
Answer: The answer should be 0.10d + 0.01p
Step-by-step explanation: please give brainliest :)
the expected values of two television sets are predicted as follows.(help a sis out)
Answers
Answer:
The graph of g(x) has a lesser y intercept
Step-by-step explanation:
Given
f(x) = 100(-x + 4)
Required
Determine the relationship between f(x) and g(x)
First, we need to get the equation of g(x).
From the question, we have that:
Initial Value = 360
Rate = -90 yearly
[It is negative because the rate shows decrement]
Hence, the equation of g(x) is:
g(x) = Initial Value + Rate * x
Where x represents number of years
g(x) = 360 + (-90 * x)
g(x) = 360 - 90x
g(x) = -90x + 360
Recall that
f(x) = 100(-x + 4)
f(x) = -100x + 400
To solve y intercept, we set x = 0.
f(0) = -100 * 0 + 400 = 0 + 400 = 400
g(0) = -90 * 0 + 360 = 0 + 360 = 360
By comparison, the graph of g(x) has a lesser y intercept
To solve x intercept, we set y = 0
For f(x)
0 = -100x + 400
100x = 400
x = 4
For g(x)
0 = -90x + 360
90x = 360
x = 4
By comparison, they have the same x intercepts.
From the list of given options, option A answers the question.
(b) A shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill.
Answers
The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.
A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.
The bill of the customer was mistakenly interchanged by $45.
The sum of the two digits of the bill is 9.
Now,
9 = 9 + 0 or,
9 = 8 + 1 or,
9 = 1 + 8 or,
9 = 5 + 4 or,
9 = 2 + 7 or,
9 = 7 + 2 or,
9 = 3 + 6 or,
9 = 6 + 3
Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.
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3
Select the correct answer.
What is the inverse of the function f(x)=19/x2
Answers
If \($&f(x)=\frac{19}{x^{2}} \\\) then the inverse function exists \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).
What is the meaning of inverse function?An inverse function in mathematics exists function which "reverses" the another function.
Let f(x) = y, then the inverse function, \($x=f^{-1}(y)$\)
\($&f(x)=\frac{19}{x^{2}} \\\)
\($&y=\frac{19}{x^{2}} \\\)
\($&x^{2}=\frac{19}{y} \\\)
simplifying the equation, we get
\($&x=\sqrt{\frac{19}{y}} \\\)
\($&x^{-1}=f^{-1}(y)=\sqrt{\frac{19}{y}} \\\)
\($&f^{-1}(y)=\sqrt{\frac{19}{y}},\) then \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).
If \($&f(x)=\frac{19}{x^{2}} \\\) then the inverse function exists \($&f^{-1}(x)=\sqrt{\frac{19}{x}}\).
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Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles
Answers
Answer:
20 Edges
Step-by-step explanation:
As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.
answer the question submitted
Answers
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.
 Mr. Rodriguez’s holiday greeting cards in his gift shop before the holiday he sells the cards at a 150% markup on the price he paid to his supplier after the holiday to discuss the car 30% what is the Post holiday price of two cars he originally bought for me supply of supplier for $1.50 and $2.00, respectively
Answers
Isabella tossed a coin and spun a spinner that is divided into 3 equal sections. She did this 50 times. The results are shown in the table. What is the experimental probability that the next time Isabella tosses the coin and spins the spinner she will get a tails and a 2? *
Answers
Answer:
ur gay landen
Step-by-step explanation:
Sandra runs a race which is 7.5 kilometers. How many miles does Sandra run in this race?
Answers
Answer:
4.66028 miles
Step-by-step explanation:
Simplify 310x + 16y + 310x + 56y ( i need help)
Answers
Answer:
\(620x+72y\)
Step-by-step explanation:
\(310x+16y+310x+56y \\ \\ =310x+310x+16y+56y \\ \\ =620x+72y\)
Find the distance traveled in 25 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t) feet per second
Answers
Answer:
499.338 feet
Step-by-step explanation:
You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.
DistanceThe distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...
\(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)
The distance traveled in 25 seconds is 499.33 feet.
It is required to find the distance traveled in 25 seconds.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
We have to find the distance , we will integrate v(t) from 0 to 25 second.
Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.
Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is
1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.
According to given question we have
Given a velocity function v, the distance s is figured by taking the integral. In this case,
v = 20 + 5 cos(t)
s = 20t + 5 sin(t) from 0 to 25
= s(45)-s(0)
s(0) = 0
so, the distance is
s(25) = 20*25 + 5sin(25)
= 500 -0.661
=499.33 feet.
Therefore, the distance traveled in 25 seconds is 499.33 feet.
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What is 190 divide by 1560
Answers
Answer:0.12
Step-by-step explanation:
Answer: 0.12.
explanation? sure.
first you get your quoitent then round it
(0.12179487179)
0.12.
there- ( o=^•ェ•)o ┏━┓
2. In the figure, is an exterior angle to triangle .
(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:
PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.
Answers
Answer:a
Step-by-step explanation:
⇒ d + e + f = b + a + a + c + b + c
⇒ d +e + f = 2a + 2b + 2c
= 2(a + b + c)
But, according to triangle angle sum theorem,
a + b + c = 180 degrees
Therefore, ⇒ d +e + f = 2(180°)
= 360°
Answer:
I only know a and b so don't hate me...
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
A gardener already has four and 2 over 3 ft of fencing in his garage. He wants to fence in a square garden for his flowers. The length of one side of the garden will be three and one over four ft. How much more fencing will the gardener need to purchase?
eight and one over three ft
twelve and three over seven ft
thirteen and one over four ft
eighteen and two over three ft
Answers
Answer:
8 1/3 ft
Step-by-step explanation:
He has: 4 2/3 ft
One side measures: 3 1/4 ft
A square has 4 congruent sides, so the total amount of fencing he needs is
4 × 3 1/4 ft = 4 × 13/4 ft = 13 ft
The total amount of fencing needed is 13 ft.
He already has 4 2/3 ft.
We subtract to find out the amount he still needs.
13 ft - 4 2/3 ft = 12 3/3 ft - 4 2/3 ft = 8 1/3 ft
Answer: 8 1/3 ft
Emilio borrows $1200 from a bank with 8.5% simple interest per year. How much will he
have to pay back total in 2 years?
Answers
Emilio will have to repay loan of a total of $1404 in 2 years.
To calculate the simple interest, we use the formula:
I = Prt
where:
I is the interest
P is the principal (the amount borrowed)
r is the interest rate per year
t is the time in years
In this case, Emilio borrowed $1200, the interest rate is 8.5%, and the time is 2 years, so we have:
I = 1200 * 0.085 * 2 = $204
Therefore, Emilio will have to pay back the principal plus the interest, which is:
1200 + 204 = $1404
So, Emilio will have to pay back a total of $1404 in 2 years.
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For each image, determine if you have enough information to find the missing lengths. If so, find them. If not, explain why. 1. DE is parallel to AC. Find the lengths of DE || AC AC and AD. B 2 D t 5 E 6
Answers
The length of AC is 12.5 and the length of AD is 3.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees
Given triangle ABC,
and D is a point on AB and E is a point on AC,
and forms a triangle ADE,
and DE is parallel to AC,
taking ΔABC and ΔBDE
∠B = ∠B (common angle)
because DE is parallel to AC, so corresponding angles are equal,
so ∠A = ∠D
and ∠C = ∠E
ΔABC ≈ ΔBDE (triangles are similar)
since both triangles are similar the ratio of their corresponding sides is equal,
AB/BD = AC/DE = BC/BE
given BD = 2, BE = 4, DE = 5 and EC = 6
BC = EC + BE = 4 + 6
BC = 10
AC/DE = BC/BE
AC = 5(10/4)
AC = 12.5
and AB/BD = BC/BE
AB = 2(10/4)
AB = 5
AD = AB - BD
AD = 5 - 2
AD = 3
Hence AC = 12.5 and AD = 3.
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The figure is in image.
Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together. Determine the number of pennies in the number of nickels that Autumn has.
Answers
The number of pennies and nickels are 9 and 11 respectively.
How to find the number of pennies and nickels?Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together.
Therefore,
let
x = number of pennies
y = number of nickels
Hence,
x + y = 20
0.01x + 0.05y = 0.64
Multiply equation(i) by 0.01
0.01x + 0.01y = 0.2
0.01x + 0.05y = 0.64
0.04y = 0.44
y = 0.44 / 0.04
y = 11
Therefore,
x = 20 - 11
x = 9
Therefore, the number of pennies and nickels are 9 and 11 respectively.
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