Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?
Answer:
they are already paralell
Step-by-step explanation:
ok
help me please
Indicate the method you would use to prove the two triangles. If no method applies, enter "none".
AAS
SSS
NONE
SAS
ASA
Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.
the sum of two numbers is 30 and their difference is 20. What are the two numbers?
\(\huge\pink{Answer}\)
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:
x + y = 30
The difference between x and y is 20. In other words, x minus y equals 20 and can be written as equation B:
x - y = 20
Now solve equation B for x to get the revised equation B:
x - y = 20
x = 20 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 30
20 + y + y = 30
20 + 2y = 30
2y = 10
y = 5
Now we know y is 5. Which means that we can substitute y for 5 in equation A and solve for x:
x + y = 30
x + 5 = 30
X = 25
Summary: The sum of two numbers is 30 and their difference is 20. What are the two numbers? Answer: 25 and 5 as proven here:
Sum: 25 + 5 = 30
Difference: 25 - 5 = 20
ꜰᴏʟʟᴏᴡ ᴍᴇ❤I'm so confused, know the answer?
Answer:
P = -10
5p - 8(p + 1) > 16
5(-10) - 8(-10 + 1) > 16
-50 - 8(-9) > 16
-50 + 72 > 16
22 > 16
MAMD.M.D. 1B: A dormitory on campushouses 200 students. 120 are male, 50are upper division students, and 40 areupper division male students. A studentis selected at random. Find theprobability of selecting a lower divisionstudent, given the student is a femaleis:Your answer:0 7/157/87/202/15
Answer:
7/20
Explanation:
The given data is presented in the table below:
The probability of selecting a lower division student, given the student is a female:
\(\begin{gathered} =\frac{70}{200} \\ =\frac{7}{20} \end{gathered}\)The answer is 7/20.
HELPP ASAPP!!!!!!!!!!!!!!!!
Answer:
y = 18
Step-by-step explanation:
Solve for m∠D:
Extra Characters.............
We can notice that this is a quadrilateral with two pairs of equal sides, with that we will see that:
m∠D = 98°
How to find the measure of angle D?In the image we can see a quadrilateral ABCD, on that image we can see that:
AB = CD
AD = BC
You can notice that because of the "arrows" on the sides.
From that, we can conclude that the measures of the angles meet the conditions:
m∠A = m∠C
m∠D = m∠B
On the image we also can see that:
m∠B = 98°
And the measure of angle B is equal to the measure of angle D, then we can conclude that the measure of angle D is also 98°, so:
m∠D = 98°
Learn more about quadrilaterals by reading:
https://brainly.com/question/23935806
#SPJ1
find by a digit to make the number divisible by 3 1234?
A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.
To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.
Let's calculate the sum of the digits in 1234:
1 + 2 + 3 + 4 = 10
The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.
To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.
The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.
1234 + 2 = 1236
we obtain the number 1236, which is divisible by 3.
For more such questions on divisible
https://brainly.com/question/29373718
#SPJ8
Please help me with this
47,34,29,37,22,25,36,39,42,45
Find the range of the marks of the students.
. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.
Answer:
y = 4x - 11
Step-by-step explanation:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) are any point on the line,m is the slope,and b is the y-intercept.We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:
1 = 4(3) + b
1 = 12 + b
-11 = b
Thus, the y-intercept is -11.
Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11
The answer is:
y = 4x - 11Work/explanation:
First, we will write the equation in point slope:
\(\sf{y-y_1=m(x-x_1)}\)
where m = slope;
(x₁,y₁) is a point on the line.
Plug in the data:
\(\sf{y-1=4(x-3)}\)
Simplify
\(\sf{y-1=4x-12}\)
Add 1 on each side
\(\sf{y=4x-12+1}\)
\(\sf{y=4x-11}\)
Hence, the equation is y = 4x - 11.what is the volume of the figure below
18x12x13x5 divided by 1/2
Answer: is 28080
Step-by-step explanation:
I NEED HELP PLS......
Answer:
1.4
Step-by-step explanation:
First ignore the Fahrenheit symbol it makes everything more confusing.
Just do regular math, -1.7 + 3.1 = 1.4!
You were very close, this stuff can be confusing (I got confused at first too)
I hope this helps you out!
Please help me
OWO...........
Answer:
1. D
2. Is A $0.87 for each song
Step-by-step explanation:
12 x $0.87 = $10.44
$10.44 + $5.04 = $15.48
I hope this helped you
Subtract 2(1/2) - 4(1/4)
A. -2(1/4)
B. -1(3/4)
C. 1(3/4)
D. 7(3/4)
Cual es el resultado de esta derivada? y=³√3x³-2x+5
Queremos derivar la expresión dada, obtendremos el resultado:
\(y' = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}\)
Derivada de la composición:Asumo que la expresión dada es:
\(y = \sqrt[3]{3x^3 - 2x + 5} = (3x^3 - 2x + 5)^{1/3}\)
Para derivar esto primero usamos la regla de la composición, si:
f(x) = g(h(x))
entonces la derivada de la función f(x) se puede escribir como:
f'(x) = g'(h(x))*h'(x)
Usando está regla y tomando:
g(x) = x^(1/3)h(x) = 3x^3 - 2x + 5.Obtendremos:
\(y = (1/3)*\frac{3*3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}} = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}\)
Lo cual nos da la derivada deseada.
Sí quieres aprender más sobre derivadas, puedes leer:
https://brainly.com/question/25827985
What are the real solutions of f(x) =0
The real solutions of f(x) = 0 are -6, 0 and 8.
What are Functions?Function is an expression which is defined for the relationship between an independent variable and a dependent variable. In other words, it is related from a set which is called the domain to a set called range where the element in domain only has an image in range.
Given graph of a function.
f(x) = 0 implies that for particular values of x, the function maps to 0.
From the graph y = f(x)
We have to find the point values of x such that y value is 0.
These are the points where the graph touches the X axis.
The graph touches X axis at -6, 0 and 8.
Hence the real solutions of the function f(x) = 0 are -6, 0 and 8.
Learn more about Functions here :
https://brainly.com/question/14231580
#SPJ1
The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
Please help answer this question!:)
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The first step I would do is to subtract the 2x from both sides so the answer is choice D.
1. List the variable costs for one of your company's products or services, with a cost estimate for each variable cost. If you have more than one product or service, choose one of them. (3.0 points)
For example, the variable costs for a company that makes t-shirts and ships them to customers might look like this:
T-shirts--$6 each
Paint--about $1.25 per shirt
Labor--about $3 per shirt (because workers earn $9 per hour and can make 3 shirts per hour, or because workers are paid by the shirt)
Shipping--$4 per shirt
2. Add the variable costs per unit to get the total cost of goods or services sold per unit. (1.0 points)
TIP: Your minimum selling price will have to be higher than this number. Next, you'll calculate fixed costs to find out how much higher it needs to be.
For example, the total cost of goods or services sold for the t-shirt company would be $14.25.
3. List the fixed costs for your company, with estimates for how much each cost will be per month. If some of your fixed costs are one-time purchases, like a computer or equipment, divide the total cost of the purchase by the number of months you expect to use the purchase. (3.0 points)
For example, the fixed costs for the t-shirt company might look like this:
Rent--$300 per month
Utilities (water and electricity)--$50 per month
Telephone and Internet service--$50 per month
Computer and printer--$1,200 total cost, divided by 60 months total expected use, is $20 per month
Office supplies--$25 per month
4. Add the fixed monthly costs to get the total fixed costs per month. (1.0 points)
TIP: Now you know that your minimum selling price has to be high enough to cover these fixed costs too. You'll calculate your break even point next.
For example, the monthly fixed costs for the t-shirt company would be $445.
5. Calculate the selling price you would need in order to break even if your company sold 100 units of your product or service, using the steps below.
a. Divide your total monthly fixed costs (from question 4 above) by 100. This is the total fixed cost per unit. (1.0 points)
For example, for the t-shirt company, this is $445 divided by 100, which is $4.45.
b. Add the total fixed cost per unit (from 5a above) to the total cost of goods or services sold per unit (from question 2 above). This is the selling price you would need in order to break even if you sold 100 units per month. (1.0 points)
For example, for the t-shirt company, this is $14.25 plus $4.45, which is $18.70. This means the t-shirt company would need a selling price of at least $18.70 to break even if it sold 100 shirts.
6. Calculate the number of units you would need to sell in order to break even, using a selling price of your choice. Use the steps below.
a. Choose a selling price that is higher than your total cost of goods or services sold per unit (the amount from question 2 above) but that is different from the selling price from question 5b above. Pick a price you think is reasonable. (2.0 points)
For example, the t-shirt company might decide that it is reasonable to price the shirts at $20 instead of $18.70.
b. Subtract the total cost of goods or services sold per unit (the amount from question 2 above) from the selling price. This is the gross profit per unit. (1.0 points)
For example, the t-shirt company would take its $20 price and subtract $14.25, which leaves $5.75.
c. Divide the total monthly fixed costs by the gross profit from 6b above. This tells you how many units you must sell to break even. (1.0 points)
For example, the t-shirt company would take its $445 monthly costs and divide that number by $5.75, which is 77.4. The company would round that number up to 78, so it would have to sell 78 shirts per month at the $20 price to break even.
7. Describe two things you could emphasize about your product in order to help make it attractive to your target market. What makes you think these things matter to this target market? (2-8 sentences. 2.0 points)
8. Identify a competitor to your company and find out what their prices are for similar products or services. Do you want your prices to be higher, lower, or the same as your competitors? Why? (2-6 sentences. 2.0 points)
9. Will your company use cost-based markup, or retail-based markup? Why? (2-5 sentences. 2.0 points)
10. Do you think the demand for your product will be elastic or inelastic? Why? (2-5 sentences. 2.0 points)
11. Describe at least one pricing strategy you will use and explain why you think it will be effective. (2-5 sentences. 3.0 points)
Answer:
Variable costs are expenses that vary in proportion to the volume of goods or services that a business produces. In other words, they are costs that vary
Step-by-step explanation:
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
#SPJ1
Which is a false comparison? 4liters<1 gallon, 1foot<1 meter, 25 grams<1 ounce, 10 kilometers<9miles
Therefore, we can see that 10 kilometers is greater than 9 miles (10 km > 14.48 km), and so the comparison "10 kilometers < 9 miles" is false.
What is kilometer?A kilometer (km) is a unit of measurement for length, commonly used in the metric system. It is equal to 1000 meters or approximately 0.62 miles. Kilometers are often used to measure longer distances, such as the distance between two cities or countries.
by the question.
To explain this, we can convert kilometers to miles or miles to kilometers to compare them in the same unit.
1 mile is approximately equal to 1.61 kilometers. So, 9 miles would be approximately equal to 14.48 kilometers.
To learn more about distance:
https://brainly.com/question/15172156
#SPJ
Solve and graph. |3x+6/9|>=2
The solution to the inequality expression is -8/9 ≤ x ≥ 4/9
How to solve and graph the inequality expressionFrom the question, we have the following parameters that can be used in our computation:
|3x + 6/9| ≥ 2
Expand the inequality expression
So, we have
-2 ≤ 3x + 6/9 ≥ 2
Subtract 6/9 from both sides
So, we have
-24/9 ≤ 3x ≥ 12/9
Divide through the equation by 3
-8/9 ≤ x ≥ 4/9
Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9
The graph is attached
Read more about inequality at
https://brainly.com/question/30994664
#SPJ1
What is the solution to the equation −6z+1=−4−7z , given the replacement set {−5, −3, −1} ?
−5
−3
−1
I don't know.
the solution to the system of equation from the replacement set is -5
Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:
Given
−6z+1=−4−7z
Collect the like terms;
-6z + 7z = -4 - 1
Simplify the result
z = -4 -1
z= -5
Hence the solution to the system of the equation from the replacement set is -5
Learn more on equation here: https://brainly.com/question/2972832
Answer:
-5
Step-by-step explanation:
I took the quiz in k12
What should be the third row in the following series of shapes
Answer:
The answer is number 2
In the equation A = bh,
СС
what does each of the
variables stand for?
Answer:
A= Area
B= Base of the figure
H= Height of the figure
B and H are multiplied together to find the area
Step-by-step explanation:
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
For more such questions on mean
https://brainly.com/question/29368683
#SPJ8
ILL GIVE AS MANY POINTS AS U WANT PLZ HELP MEEE I don't use this please help
Answer:
Ok, "steeper than y = x^2" means that the function grows "faster" than y = x^2. and we can look at this by looking at the derivates, if the derivate is larger, then it is steeper.
The derivate of y = x^2 is: y´= 2x.
Now let's look at the other functions.
a) y = (1/2)*x^2
the derivate is:
y' = 2*(1/2)*x = x
this function is less steep than y = x^2
b) y = -x^2
the derivate is:
y' = -2x
So we have, in absolut value, exactly the same than for y = x^2.
The difference is that here the function decays instead of growing, so this is "less steep than y = x^2)
c) y = (2x)^2 = 4*x^2
the derivate is:
y´= 2*4*x = 8*x
this is steeper than y = x^2-
d) y = 2x^2
the derivate is:
y´= 2*2*x = 4x.
this is steeper than y = x^2
e) y = (x/2)^2 = (1/4)*x^2
the derivat is:
y' = (2/4)*x = (1/2)*x
so this is lees steep than y = x^2
I need a help with this hw
The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5 d ) -25/12
What is trigonometric ratio?
Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent. Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse
the give parameters are:
tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2
a) sin(α+β)
Using the trig ratios tan = opp/adj
but from pyth. rule, 4² + 3² = h²
16+9 = h²
h = √25 = 5
Now from trig Sin(α+β)
4/5 + 3/5
=- 7/5
b) cos(α+β)
cos = ad/hypo
4/5 + 3/5
= -7/5
c) Sin(α-β)
4/5 - 3/5
-1/5
d) tan(α-β)
= -4/3 - 3/4
= (-16 - 9)/ 12
-25/12
Learn more about trigonometric ratios on https://brainly.com/question/23130410
#SPJ1
In a parallelogram ABCD, angle a=70, find 2angle d
Answer:
D = 110
Step-by-step explanation:
Given,
In a parallelogram ABCD,
∠A =70∘
∠A + ∠B = 180∘.. (supplementary angles)
∠B = 180∘ – 70∘ = 110∘
∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)
∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110