C
Because their on a straight highway and the lines go up and down (north and south) and parallel lines is a set of straight lines
Final answer:
The northbound and southbound lanes on a straight highway are the best example of parallel lines, as they never intersect and stay equidistant from each other, fulfilling the criteria for parallelism in geometry which is the option c.
Explanation:
The best example of parallel lines in the real world would be C. The northbound and southbound lanes on a straight highway. In mathematics, parallel lines are two lines in the same plane that do not meet; they stay the same distance apart over their entire length. When we look at the northbound and southbound lanes on a straight highway, they are designed to be straight and run alongside each other without crossing, making them a practical example of parallel lines.
It is important to understand that parallel lines have several key features. They are always the same distance apart (equidistant), and they never intersect or cross each other. This principle is seen in the highway lanes, which must stay separate to facilitate traffic in opposite directions.
To contrast, other options like A. The lines formed on a windowpane may not necessarily be parallel, B. A four-way stop at an intersection involves intersecting lines, and D. A bridge extending over a river can be a single line or may curve, which does not fit the definition of parallel lines.
triangle STV has sides with lengths of 7, 11, and 14 units. Determine whether this is a right triangle.
Final answer:
By applying the Pythagorean theorem, we find that the sum of the squares of the two shorter sides of triangle STV (7 and 11) is not equal to the square of the longest side (14). Therefore, triangle STV is not a right triangle.
Explanation:
To determine if triangle STV with sides of 7, 11, and 14 is a right triangle, we can apply the Pythagorean theorem, a² + b² = c², where c is the hypotenuse (the longest side of the triangle) and a and b are the other two sides. For triangle STV, assume that the side with a length of 14 units is the hypotenuse, and the sides with lengths of 7 and 11 units are the other two sides.
Now, let's calculate:
a² = 7² = 49
b² = 11² = 121
a² + b² = 49 + 121 = 170
c² = 14² = 196
Since 170 does not equal 196, the sums of the squares of the sides do not equal the square of the hypotenuse. Therefore, triangle STV is not a right triangle.
Which theorem or postulate proves that △ABC and △DEF are similar?
-SAS Similarity Theorem
-SSS Similarity Theorem
-AA Similarity Postulate
ANSWER ASAP!
Photo:
Answer:
The triangles are similar by AA Similarity Postulate
Step-by-step explanation:
we know that
In the triangle ABC
m∠CAB=65°
m∠ABC=m∠CAB
so
m∠ABC=65°
Find the measure of angle ACB
Remember that
The sum of the internal angles in a triangle must be equal to 180 degrees
so
m∠ACB+m∠ABC+m∠CAB=180°
substitute the values
m∠ACB+65°+65°=180°
m∠ACB=180°-130°=50°
In the triangle DEF
m∠FDE=m∠CAB=65°
m∠DFE=50°
Find the measure of angle DEF
Remember that
The sum of the internal angles in a triangle must be equal to 180 degrees
so
m∠DEF+m∠FDE+m∠DFE=180°
substitute the values
m∠DEF+65°+50°=180°
m∠DEF=180°-115°=65°
therefore
m∠CAB=m∠FDE=65°
m∠ABC=m∠DEF=65°
m∠ACB=m∠DFE=50°
so
The three internal angles of the triangles are congruent
therefore
The triangles are similar by AA Similarity Postulate
larry earns $20.25 per hour plus 8% of his sales which of the following equations represents toms earrings E when he works x hours and has a total of y sales in dollars
E=20.25x+y is the equation
Larry's earnings, represented by E, when he works x hours and has y dollars in sales, is calculated by his hourly wage ($20.25 per hour) plus an 8% commission on his sales, which results in the equation E = 20.25x + 0.08y.
Explanation:To calculate Larry's earnings E based on his hourly wage and sales commission, we need to consider both parts of his earnings: his hourly rate and his commission rate. The equation that represents Larry's earnings when he works x hours and has a total of y sales in dollars will include the hourly earnings plus a percentage of his sales.
Larry earns $20.25 per hour, so his earnings from hours worked would be 20.25 times the number of hours worked, which is 20.25x.
Additionally, Larry earns a commission of 8% on his sales. To calculate this, you need to convert the percentage to a decimal by dividing by 100 (8% becomes 0.08) and then multiply by the total sales y, resulting in 0.08y.
The total earnings E would therefore be the sum of his hourly earnings and his sales commission, which gives us the equation E = 20.25x + 0.08y.
which situation has a unit rate of $7?
a.Trevor spent $49 on 2 theater tickets
b.sally bought a pack of 5 t-shirts for $35
c. Brandon bought 7 gallons of gas for $14
d. gina bought nail polish for $5 and a pack of gum for $2
please help thank you.
Answer:
B
Step-by-step explanation:
consider the function y = -2 - cos(x-pi). What effect does pi have on the basic graph?
Answer:
The effect of [tex]\pi[/tex] on the graph is it shift the graph horizontally.
Step-by-step explanation:
Given : Function [tex]y=-2-\cos(x-\pi)[/tex]
To find : What effect [tex]\pi[/tex] does have on the basic graph?
Solution :
Consider the parent function [tex]y=\cos x[/tex]
The graph get transformed into [tex]y=-2-\cos(x-\pi)[/tex]
When there is a change in the x value then horizontal shift happened.
The general form of cosine is [tex]f(x)=A\cos(B(x-C))+D[/tex]
The horizontal shift in this function is C.
Similarly, If we applied in [tex]y=-2-\cos(x-\pi)[/tex] then there is a horizontal shift of [tex]\pi[/tex]
Therefore, The effect of [tex]\pi[/tex] on the graph is it shift the graph horizontally.
which linear expression is a factor of the polynomoal function f(x)=x^3+2x^2
Answer:
x + 3
Step-by-step explanation:
Factor out the greatest common factor from f(x), which is x²
We get f(x) = x²(x + 3)
The (x + 3) factor is a linear component
Lines are in the form of y = mx + b, here we have y = x + 3
If f(x) = –2x + 7 and g(x) = x2 – 2, what is [f o g](3)?
Answer:
[tex](f\circ g)(3)=-7[/tex]
Step-by-step explanation:
The given functions are;
[tex]f(x)=-2x+7[/tex]
and
[tex]g(x)=x^2-2[/tex]
We need to first of all find [tex](f\circ g)(x)[/tex]
[tex](f\circ g)(x)=f(g(x))[/tex]
[tex](f\circ g)(x)=f(x^2-2)[/tex]
[tex](f\circ g)(x)=-2(x^2-2)+7[/tex]
[tex](f\circ g)(x)=-2x^2+4+7[/tex]
[tex](f\circ g)(x)=-2x^2+11[/tex]
We now plug in x=3
[tex](f\circ g)(3)=-2(3)^2+11[/tex]
[tex](f\circ g)(3)=-18+11[/tex]
[tex](f\circ g)(3)=-7[/tex]
The answer is A. -7 on edge :)
if m ACB =(11x-32),find the value of x
Answer: x= acb/11 + 32/11
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Calculation to finding the value of x:
Given:
[tex]m\ ACB =(11x-32) [/tex]
To find:
x=?
Solution:
[tex]m\ ACB =(11x-32) [/tex]
Given that ABCD is a square,
[tex] \angle ACB = 45[/tex]
Putting the given value in the question:
[tex]\to 45 = 11x-32\\\\ \to 45 + 32= 11x\\\\ \to 77 = 11x\\\\ \to 11x= 77\\\\ \to x=\frac{77}{11}\\\\ \to x=7 [/tex]
Therefore, the final answer is "7".
Learn more:
brainly.com/question/21127280
$800 is deposited in an account that pays 9% annual interest compounded annually. Find the balance after four years
Answer:
$1,129.27Step-by-step explanation:
Compounded interest formula is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the principal, [tex]r[/tex] is the anual interest in decimal, [tex]n[/tex] is the numer of compounded periods in one year and [tex]t[/tex] is the time in years.
[tex]P=\$800\\r=0.09\\n=1\\t=4[/tex]
Notice that [tex]n=1[/tex], because the interest is compounded anually, if the interest is compounded, then [tex]n=12[/tex], because there would be 12 compound periods in one year.
Then, we replace all these vaules in the formula
[tex]A=P(1+\frac{r}{n})^{nt}\\A=800(1+\frac{0.09}{1})^{1(4)}=800(1.09)^{4}\\ A=1,129.26[/tex]
Therefore, after 4 years, the amount would be $1,129.27.
which equation has no solutions
|4x-2|=-6 because an absolute value can’t be equal to a negative
A school has 550 students, 30 teachers, and 10 aids. Write the following ratios in simplest form.
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The ratios in SIMPLEST FORM are:
1:3
3:55
55:1
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
To write the ratios in simplest form, find the greatest common divisor (GCD) of the two numbers in each ratio and divide both numbers by the GCD.
Explanation:The ratios we need to write in simplest form are:
1. Students to teachers = 550:30
2. Students to aids = 550:10
To write these ratios in simplest form, we need to find the greatest common divisor (GCD) of the two numbers in each ratio and divide both numbers by the GCD.
1. Students to teachers = 55:3
2. Students to aids = 55:1
Angle θ is in standard position. The terminal side of the angle passes through the point (5/13,12/13 ) on the unit circle. Find cscθ.
Answer:
cscФ = 13/12
Step-by-step explanation:
∵ The terminal side of the angle Ф passes through point (5/13 , 12/13)
∵ x = 5/13 and y = 12/13
∵ x = cosФ and y = sinФ
∴ cosФ = 5/13
∴ sinФ = 12/13
∵ cscФ = 1/sinФ
∴ cscФ = 1 ÷ 12/13 = 13/12
plz help
math question
Answer: 0, I think?
Step-by-step explanation: In order to do this equation, we want to get the variable on one side. In order to do this, we add 7 to both sides to cancel out the -7's. Now, we divide 9 on both sides, giving us 0.
Please help me graph this right
go 6 to the left of 0 and 10 up from -6
please help 15 points only help if you know the answer please.
1. 6 movies
2. 10 movies
3. The students
4. 10 - 6 = 4
5. For teachers: 9 - 4 =5
For students: 13 - 6 = 7
Can someone help me on number 22, Thanks!!!
Answer:
About 19 feet
Step-by-step explanation:
You divide 5280 by 275.5 to get feet per rotation.
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 2, 6, 11, 13, 17, 19.
Answer: 11
Step-by-step explanation:
Add the numbers together to get 68, then divide it by 6 to get your answer! Sorry if I'm wrong!
Mean: 11.3
Median: 12.5
If a circle has a circumference of 16 pi yards, find the area in terms of pi
Answer:
8
Step-by-step explanation:
Factor completely 3x2 + x + 7.
Answer:
-1
Step-by-step explanation:
3 • 7 = 21
Find two factors of 21 whose sum equals the coefficient of the middle term, which is -1 .
-21 + -1 = -22
-1 + -21 = -22
1 + 21 = 22
21 + 1 = 22
Answer:
Can not be factorized further
Step-by-step explanation:
Here we are asked to factorize the expression [tex]3x^2+x+7[/tex]
In order to factorize a quadratic polynomial , we have to follow the following steps.
step 1. We have to find the product of coefficient of [tex]x^2[/tex] and the constant term. In this case the coefficient of [tex]x^2[/tex] is 3 and constant term is 7. Hence the product is 3*7=21
Step 2: Now we have to find all the possible factors of this product. In our case the factors will be
21=1*21
21=3*7
Step 3: We have to select one pair of those factors such that their sum or difference is equal to the coefficient of middle term that is [tex]x[/tex] . In this case it is 1. And we can see that in our polynomial , none of the pair gives you 1 either as sum or difference.
As there does not exist any such pair , it can not be further factorize.
CAN YOU HELP ME
the width of a rectangle is 3/8 the length x of the rectangle . Which expression describes the rectangle?
Step-by-step explanation:
You cannot describe the rectangle with an expression
What I can do is describe the area.
l(3/8l)
Also perimeter.
2l+2(3/8l)
Which is the r- value of the following data to three decimals places?
Answer:
Choice D is correct;
r = -0.953
Step-by-step explanation:
r-value refers to the correlation coefficient between two sets of data and is use to assess the degree of association between two variables.
The value can be calculate manually or by use of software. In this case I employed the correlation function in Ms. Excel an the output is shown in the attachment below.
The function to use is; = correl
Which best represents the units of the average rate of change for the boiling point based on the amounts of ethylene glycol in the 100ml solutions?
a. 1/(mililiters*degrees Fahrenheit)
b. degrees Fahrenheit/(mililiters)
c. (mililiters)/degrees Fahrenheit
d. (mililiters*degrees Fahrenheit)/1
Answer:
Option b. degrees Fahrenheit/(mililiters)
Step-by-step explanation:
we know that
The formula to calculate the average rate of change between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have that
the units of the y-axis are [tex]{\°F}[/tex]
the units of the x-axis are [tex]{ml}[/tex]
therefore
the units of the the average rate of change are
[tex]m=\frac{\°F}{ml}[/tex]
Sarah Drew a parallelogram that is not a rectangle what is the greatest number of right angles Sarah's parallelogram can have
Final answer:
A parallelogram is a quadrilateral with parallel and equal sides, but it does not necessarily have any right angles. The greatest number of right angles a parallelogram can have is two, which occurs when the parallelogram is a rectangle.
Explanation:
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. In a parallelogram, the opposite angles are also equal. However, a parallelogram is not required to have any right angles, and in fact, most parallelograms do not have any right angles.
The greatest number of right angles a parallelogram can have is two. This would occur when the parallelogram is a rectangle, which is a special type of parallelogram. A rectangle has opposite sides that are parallel and equal in length, and all four angles are right angles, measuring 90 degrees each.
Therefore, the answer to Sarah's question is that the greatest number of right angles her parallelogram can have is two.
a recipe calls for 2 2/4 cups of raisins,but Julie only has a 1/4 measuring cup. how many 1/4 cups does Julie need to measure out 2 and 2/4 cups of raisins
Answer:
10
Step-by-step explanation:
Divide 2 2/4 cups of raisins by 1/4 cup:
10 cups
-------------
4
=============
1 cup
--------
4
Invert the divisor and then multiply:
10 cups 4
------------- · ---------- = 10
4 1 cup
Julie must measure out 10 of these 1/4-cup measures (of raisins).
WILL BE MARK BRAIN 2(2x+32)+2/5(4x+4)
28/5x + 328/5 is the answer. I did it and checked. Hope this helped
10 POINTS AND BRAINLIEST!
Answer:
A=bh=24*8=192
V=2(wl+hl+hw)=2·(4·3+15·3+15·4)=234
A=1311(big rectangle ---> (31-12)69)+2(12 x 23 ---> because of the two smaller rectangles=1311+552=1863
Step-by-step explanation:
algebra
how do you find x? i know the answer is 8.9 (bc of answer key) but how do i get to that?
Answer:
x = 8.9
Step-by-step explanation:
We can see in the problem that the diameter is 37.8.
Radius is 1/2 of the diameter.
d = 2r
So in this problem r = 37.8/2 or r = 18.9.
Then you can see that the given side of the triangle is 10.
Since we know that that line is also the radius since it goes from the edge of the circle to the center, we can just subtract 10 from 18.9 to get 8.9.
what's the volume of the figure
Answer:
b
Step-by-step explanation:
The volume (V) of the triangular prism is
V = area of triangular end × length
area of triangle = [tex]\frac{1}{2}[/tex] × 3.4 × 2.5 = 4.25 in², hence
V = 4.25 × 4.8 = 20.4 in³ → b
Answer: B
Step-by-step explanation:
The volume of a triangular prism can be achieved by the equation:
[tex]V=\frac{1}{2} *l*w*h[/tex]
similar to finding the volume of a regular right triangle, where you have:
[tex]a=\frac{1}{2} b*h[/tex]
Here all you are adding is the dimension of depth by multiplying that depth (l) by the equation for the area.
Which is a rational function??
Answer:
Number C is the rational function
What is the equation of the horizontal line through (-4,6)
Answer:
y = 6
Step-by-step explanation:
We are to find the equation of the horizontal line which passes through the point (-4,6).
Since the line is horizontal so the slope will be zero and the equation will be [tex] y = c [/tex] for some constant [tex] c [/tex].
We know that the line passes through the point (-4,6) so the constant [tex] c [/tex] will be 6 at all points on the line.
Therefore, the equation of the horizontal line will be y = 6.
ANSWER
[tex]y = 6[/tex]
EXPLANATION
The equation of a horizontal line passing through:
[tex](x_1,y_1)[/tex]
is given by
[tex]y=y_1[/tex]
The equation of the horizontal line through (-4,6) is
[tex]y = 6[/tex]