Using the figure below, select the two pairs of alternate interior angles.
1 and 4
2 and 3
6 and 7
5 and 8
Answers
2 and 3
6 and 7
Answer
Options second and third
Reason
From the figure we get l and m are two parallel lines and t is the traversal.
There are two pairs of alternate interior angles
The pairs of alternate interior angles are equal
pairs of alternate interior angles
2 and 3
6 and 7
Similarly there are alternate exterior angles are there. Other two options are alternate exterior angles
Related Questions
Which graph shows a system of equations with a solution at (–1, 1)?
Answers
Answer:- The second graph shows a system of equations with a solution at (–1, 1) .
Explanation:-
In the given pictures we have different lines intersecting parabola .
Given point is (-1,1) ,here x coordinate is negative and y coordinate is positive , which happen only in second quadrant of a Cartesian plane.
In graph 1 , there are two intersection points and none of them lie in the second quadrant. In graph 2 , there are two intersection points and one of them lie in the second quadrant and that is (-1,1). Therefore it shows a system of equations with a solution at (–1, 1) .In graph 3 , there are two intersection points and none of them lie in the second quadrant. In graph 4 , there are two intersection points and none of them lie in the second quadrant.16 POINTS. Find x and y intercepts and show work.
I’m looking for number six.
Answers
y = (x^4 - 3x^3 + 4x)^2
y = x^2(x^3 - 3x^2 + 4)^2
Go to Wolframalpha and put the above equation into the input line.
You see that there are 2 solutions at -1
There are 2 solutions at 0
There are 2 solutions at 2
You know that there are 2 solutions for each because the graph just touches the x axis. I wouldn't both to try and solve this thing using algebra.
that's what the graph would leave you to believe. There are 2 other solutions and they must be imaginary.
Note to moderator. Wolfram dot com just shows graphs. the work is mine and I'm just using a tool to explain my answer.
Find the lateral area and the total area of the prism.
27 sq. ft.
36 sq. ft.
54 sq. ft.
Answers
1) the lateral area----------------> L=P*h
P=(3+3+3) h=6
L=(3+3+3)*6=54 in²
the answer part 1) is the lateral area is 54 in²
2) the total area=------------- > S=P*h+2B
2B=2*[3*3/2] P*h=54
S=2*[3*3/2]+54=63 in²
the answer part 2) is the total area is 63 in²
Answer:
54 sq. ft.
Step-by-step explanation:
LA=ph or in other words Lateral Area= base perimeter * height
The perimeter of the base is 9 because 3+3+3=9.
The height is 6. So 6 * 9 = 54
A certain animated movie earned $1.1 * 10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was earned per minute of the movie?
Answers
To find the revenue per minute of the movie, divide the total revenue ( [tex]\$1.1 \times 10^9[/tex]) by the length of the movie ( [tex]9.1 * 10^1[/tex]). The trick is to divide the numerical portions and the power of ten portions separately. The answer is approximately [tex]\$1.20879 \times 10^7[/tex] per minute.
Explanation:The subject of this question is mathematics and it involves a concept called division in scientific notation. To find the revenue per minute for this movie, we'll divide the total earnings ($1.1 * 109) by the length of the movie in minutes (9.1 * 101).
Step 1: Place the two values with scientific notation over each other, akin to a typical division problem. This means $1.1 * 109 / 9.1 * 101.
Step 2: Divide the two numerical portions separately from the power of ten portions. This is dividing 1.1 by 9.1 and 109 by 101.
Step 3: The former (from step 2) gives you approximately 0.120879 and the latter simplifies to 108 (because when you divide with the same base, you subtract the exponents).
So the earnings per minute of this movie were approximately $0.120879 * 108, or $1.20879 * 107.
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What is the sum of −3x+6 and 7x−8 ?
Answers
Answer:
-80
Step-by-step explanation:
which number is a common factor of 32,48,and 80?
Answers
Answer:
Step-by-step explanation:
The GCF is found by listing the factors of all the numbers and picking the largest one that occurs in each. The factors of your numbers are as follows:
32: 1, 2, 4, 8, 16, 32
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Looking at those factors you can pick out anything you'd like: all the common factors, the greatest common factors, whatever you need.
Final answer:
The number 16 is a common factor of 32, 48, and 80, as it is the only number among the options given that divides evenly into all three numbers.
Explanation:
To find a common factor of 32, 48, and 80, we need to identify a number that divides evenly into all three numbers. A systematic way to do this is to list out the factors of each number and see which ones they have in common.
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
From these lists, we see that the numbers 1, 2, 4, 8, and 16 are common factors of all three numbers. However, among the options provided (3, 9, 10, 16), 16 is the only number that appears in all lists and is therefore a common factor of 32, 48, and 80.
Which graphic organizer would help you visualize important events in the history of the U.S. space program? timeline point-by-point diagram cause-and-effect chart Venn diagram
Answers
Answer with explanation:
If we have to visualize important events in the history of the U.S. space program, we have to keep following things in mind
Year Program
19... Satellite A
19.. On Moon ....
.... ............
...... .........
So, while scaling , we will keep year , that is time on any of the axis and program on another axis.
→→The Appropriate option will be
(a) Time line
The perimeter of a rectangular garden is 102 meters. the length is 6 meters longer than twice the width. find the dimensions of the garden.
Answers
Hope this helps !
Photon
Final answer:
The width of the garden is 15 meters and the length is 36 meters.
Explanation:
To solve this problem, we can use the formulas for perimeter and length. Let's assume that the width of the rectangular garden is x.
According to the given information, the length is 6 meters longer than twice the width, so the length can be represented as 2x + 6.
The perimeter is the sum of all four sides of the rectangle, which is given as 102 meters. We can set up the equation:
2(2x + 6) + 2x = 102
Simplifying the equation, we get:
6x + 12 = 102
6x = 90
x = 15
Therefore, the width of the garden is 15 meters and the length is 2(15) + 6 = 36 meters.
Which is the graph of the system x + 3y > –3 and y < 1/2x + 1?
Answers
The y-intercept of the second inequality is +1.
The fourth graph has these correct.
The answer to this question is D.
In this box-and-whisker plot, what is the median value of the data?
A. 48
B. 53
C. 56
D. 58
Answers
The median is the middle number when they're already in numerical order. In this case, the numbers are already in numerical order, so we can just look and see that the median is 56.
I hope this helps!
What is Y=x^2+6x+4 in vertex form?
Answers
A publisher pays 6% royalty to a book writer for the first 1,000 copies sold, and 5% on any number of copies above 1,000. They will print 3,000 copies. Find the sale price of the book if the writer expects to be paid $5,000.
Answers
There are 8 hamsters at crazy Pete pet shop that are completely brown the rest of the hamsters at the shop are mixed colors that ate brown hamsters represent 2/5 of the total Number of hamsters at the pet shop right and solve an equation using the variable H to find the total number of hamsters at the pet shop
Answers
The farmer originally planted 15 apple trees.
Let's denote the original number of rows as [tex]\( r \)[/tex] and the original number of columns as [tex]\( c \).[/tex]
In the original arrangement, the total number of trees is [tex]\( r \times c \).[/tex]
If 5 more rows and 3 fewer columns are added, the new number of rows becomes [tex]\( r + 5 \)[/tex] and the new number of columns becomes [tex]\( c - 3 \).[/tex]
According to the given information, the new arrangement has 25 more trees than the original arrangement. So, we can set up the equation:
[tex]\[ (r + 5) \times (c - 3) = r \times c + 25 \][/tex]
Expanding the left side:
[tex]\[ r \times c + 5r - 3c - 15 = r \times c + 25 \][/tex]
Now, let's simplify:
[tex]\[ 5r - 3c - 15 = 25 \][/tex]
[tex]\[ 5r - 3c = 40 \][/tex]
Now, let's solve this equation to find the relationship between [tex]\( r \)[/tex] and [tex]\( c \).[/tex]
Given the information, let's make some assumptions about the number of rows and columns to fit the situation realistically.
Let's start with 1 row and 3 columns ( [tex]\( r = 1, c = 3 \)[/tex] ):
[tex]\[ 5(1) - 3(3) = 5 - 9 = -4 \][/tex]
It doesn't satisfy the condition.
Next, let's try 2 rows and 4 columns ( [tex]\( r = 2, c = 4 \)[/tex] ):
[tex]\[ 5(2) - 3(4) = 10 - 12 = -2 \][/tex]
Still doesn't satisfy the condition.
Next, let's try 3 rows and 5 columns ( [tex]\( r = 3, c = 5 \)[/tex] ):
[tex]\[ 5(3) - 3(5) = 15 - 15 = 0 \][/tex]
This satisfies the condition.
So, the original arrangement had 3 rows and 5 columns, and the total number of trees is [tex]\( 3 \times 5 = 15 \)[/tex].
Starting time 2:15 elapsed time 45 minutes
Answers
Need help on 8,9,10,11 and 12
Answers
[tex]0.3x=12 \\ \\ x = 40[/tex].
The answer is 40.
9) 45% of 20 is [tex]0.45(20)=9[/tex].
The answer is 9.
10) 18 is [tex](18/30 = 60)[/tex]% of 30.
The answer is 60%.
11) 56 is 80% of some number x. We write
[tex]0.8x=56 \\ \\ x = 70[/tex].
The answer is 70.
12) If the total cost on an item that costs $4.00 is $4.32, then the tax is 32¢. We want to find the percent of the total 4 that is .32. [tex] \frac{0.32}{4} = 0.08=8[/tex]%.
The answer is 8%.
Alvin financed $3,450 to buy a new car. If he made 36 payments of $138.50 each, how much interest did he pay on the loan? a. $153.60 b. $415.50 c. $1,536 d. $4,986
Answers
Multiply 138.50 by 36. (4,986)
Then, subtract 4,986 by 3,450.
helppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
The first thing we are going to do is decompose the numbers 16 and 54 into prime factors:
[tex]16=2^{4} [/tex] and [tex]54=(2)(3^{3} )[/tex]
Now we are going to separate each term into cubes:
[tex]2 ^{4} =(2)(2^{3} )[/tex]
[tex]x ^{6} =( x^{3} )( x^{3} )[/tex]
[tex]y^{5} =(y^{2})(y^{3} ) [/tex]
After that we can rewrite the expression:
[tex]2( \sqrt[3]{(2)(2^{3})x^{3}y }) +4( \sqrt[3]{(2)( 3^{3})( x^{3})( x^{3})(y^{2})(y^3}) } )[/tex]
Finally we can take out the cubes and simplify:
[tex]2(2)(x) \sqrt[3]{2y} +4(3)(x)(x)(y) \sqrt[3]{2 y^{2} } [/tex]
[tex]4x \sqrt[3]{2y} +12 x^{2} y \sqrt[3]{2 y^{2} } [/tex]
The first choice, [tex]4x \sqrt[3]{2y} +12 x^{2} y \sqrt[3]{2 y^{2} } [/tex], is the correct answer.
2[(16x³y)^(1/3)]+4[(54x³x³y³y²)^(1/3)]
2[(2³2x³y)^(1/3)]+4[(3³2x³x³y³y²)^(1/3)]
2[2x(2y)^(1/3)]+4[3x²y(2y)^(1/3)]
4x[(2y)^(1/3)]+12x²y[(2y)^(1/3)]
4x[(2y)^(1/3)]+12x²y[(2y)^(1/3)]
the answer is the option A) 4x[(2y)^(1/3)]+12x²y[(2y)^(1/3)]
Which transformations can be used to show that circle P is similar to circle Q?
Circle P: center (2, −3) and radius 4
Circle Q: center (2, 3) and radius 28
.
Select each correct answer.
Circle Q is a translation of circle P, 6 units up.
Circle P is a dilation of circle Q with a scale factor of 24.
Circle Q is a translation of circle P, 6 units left.
Circle Q is a dilation of circle P with a scale factor of 7.
Answers
Similar figures can result when a figure is translated (moved or slid) to a different position or when it remains the same shape but in a different size (dilation).
Answer: The answer is below i am in k12 just took the test
Circle Q is a dilation of circle P with a scale factor of 7. "
Circle Q is a translation of circle P, 6 units up.
Step-by-step explanation:
The polygons are similar. Find the value of x
Answers
big side/ small side = big side / small side
16/12 = x-1 / 6
Simplify
4/3 = x-1 / 6
multiply both sides by 6
24/3 = x-1
simplify
8 = x - 1
add 1 to both sides
9 = x
Hope this helps
What is the sum of the geometric series
Answers
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
If the radius of a circle is 14 ft, then the diameter of the circle is _____.
A.) 7 ft
B.) 28 ft
C.) 42 ft
D.) 87.92 ft
Answers
[tex]14 \times 2 = 28[/tex]
its B.) 28ft
Diameter to radius= 28÷2= 14 radius
When given the radius, multiply it by 2 to get the diameter.
ANSWER: B) 28 feet
Hope this helps! :)
Using graph paper graph the following equation then click on the graph until the correct one is display. 3x-y-1=0
Answers
3x-y-1=0-------------------> y=3x-1
using a graph tool
see the attached figure
the x-intercept is the point (0.333,0)
the y-intercept is the point (0,-1)
the slope is m=3
The graph of the equation [tex]3x - y - 1 = 0[/tex] is attached below.
Further explanation:
The linear equation with slope m and intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as,
[tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex]
Given:
The equation is [tex]3x - y - 1 = 0.[/tex]
Explanation:
The given equation is [tex]3x - y - 1 = 0.[/tex]
Solve the equation to obtain the standard form.
[tex]\begin{aligned}3x - y - 1&= 0\\y&= 3x - 1\\\end{aligned}[/tex]
Compare [tex]y = 3x - 1[/tex] to the standard equation [tex]y= mx + c.[/tex]
The slope of the line is 3 and the y-intercept is -1.
Substitute 0 for [tex]x[/tex] to obtain the value of [tex]y[/tex].
[tex]\begin{aligned}y &= 3 \times 0 - 1\\y&= 0 - 1\\y&= - 1\\\end{aligned}[/tex]
Substitute 1 for [tex]x[/tex] to obtain the value of [tex]y[/tex].
[tex]\begin{aligned}y&= 3 \times 1 - 1\\y&= 3 - 1\\y&= 2\\\end{aligned}[/tex]
Substitute 2 for [tex]x[/tex] to obtain the value of [tex]y[/tex].
[tex]\begin{aligned}y&= 3 \times 2 - 1\\y&= 6 - 1\\y&= 5\\\end{aligned}[/tex]
The graph of the equation [tex]3x - y - 1 = 0[/tex] is attached below.
Learn more:
Learn more about inverse of the function https://brainly.com/question/1632445.Learn more about equation of circle brainly.com/question/1506955.Learn more about range and domain of the function https://brainly.com/question/3412497Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.
Help me please !!!!!!!
Sandy is observing the velocity of a runner at different times.
After one hour, the velocity of the runner is 4 km/h. After two hours, the velocity of the runner is 2 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. Part B: How can you graph the equations obtained in Part A for the first 4 hours?
Answers
Use the given times and velocities to make two points: (1,4) and (2,2)
Part A:
Slope is the change in Y over the change in X from the two pints you made:
Slope = (2-4) / (2-1 )= -2
Now you have the slope, calculate the Y-intercept
y = -2x + b
Using (1,4)
4 = -2(1) + b = 4 =-2 +b. b = 6
Equation is: y = -2x+6
Part B:
using the above equation replace x with 1, 2, 3, and 4 and solve for the Y
then plot those onto a graph
How do you write 50% as a fraction or whole number in simplest form?
Answers
because 2/4 is equivalent to 1/2 50% is 1/2
A rectangular playground is 888 meters wide. It is 333 times as long as it is wide.What is the area of the playground?
Answers
The required area of the playground is given as, 192 square meters.
Given that,
A rectangular playground is 888 meters wide. It is 333 times as long as it is wide. The area of the playground is to be determined.
Surface area is defined as the measure of a region or surface is called as surface area.
Here,
The area of the playground = l × w
As mentioned in the question,
l = 3w = 3 × 8 = 24
Area = 24 × 8
Area = 192 square meters.
Thus, the required area of the playground is given as, 192 square meters.
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Donna Bakes biscuits on a rectangular cookie sheet that is 30 centimeters by 50 centimeters.Each biscuit had a diameterof 8 centimeters. What is the maximum number of biscuits donna can make on the sheet at once on the cookie sheet.
Answers
Donna can make a maximum of 94 biscuits on the rectangular cookie sheet at once.
Explanation:To find the maximum number of biscuits Donna can make on the rectangular cookie sheet, we need to calculate the area of the sheet and divide it by the area of each biscuit.
The area of the sheet is given by length x width, so it is 30 cm x 50 cm = 1500 cm².
The area of each biscuit is given by πr², where r is the radius (half the diameter) of the biscuit. In this case, the radius is 8 cm / 2 = 4 cm. So the area of each biscuit is π x 4 cm x 4 cm = 16π cm².
To find the maximum number of biscuits, we divide the area of the sheet by the area of each biscuit:
Maximum number of biscuits = Area of the sheet / Area of each biscuit = 1500 cm² / 16π cm² ≈ 94.25 biscuits.
Since we can't have a fraction of a biscuit, the maximum number of biscuits that Donna can make on the sheet at once is 94 biscuits.
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please someone help me on this
Brainliest available :)
Answers
You want to measure the length of a ribbon in inches. You only have a centimeter ruler. The length of the ribbon is 16 cm. Is the ribbon longer or shorter than 16 inches? How many inches long is it?
Answers
Answer- it will be shorter than 16 inches. !6 centimeters to the inch is 6.29921 inches
which of the following is a radical equation? 1. x+sqrt(5)=12 2. x^2=16 3. 3+xsqrt(7)=13 4. 7sqrt(x)=14
Answers
Answer:
4. [tex]7\sqrt{x}=14[/tex]
Step-by-step explanation:
Radical equation is a equation that has a variable under the radical .
From the given options we have radical square root
We need to choose an option that has a variable under the square root.
1.[tex]x+\sqrt{5}=12[/tex]
This equation has 5 under the radical square root. Variable is outside, So this is not a radical equation.
2. x^2=16
Here there is not radical . So this is not a radical equation.
3. [tex]3+x\sqrt{7}=13[/tex]
This equation has 7 under the radical square root. Variable is outside, So this is not a radical equation.
4. [tex]7\sqrt{x}=14[/tex]
This equation has x under the radical square root. So this is a radical equation.
Find 5% of $43.79. $218.95 $2.19 $21.90 $2,189.50
Answers
218.95 *0.05= 10.9475
2.19 *0.05= 0.1095
21.90 *0.05= 1.095
2,189.50 *0.05= 109.475
hope this helps