Explanation:
Erase the line from angle C to angle A. You'll be left with only one transversal. This transversal forms angles B and D, which are alternate interior angles. They are inside the parallel lines, so that's what makes them interior. They are also on alternating sides of the transversal line. Alternate interior angles are congruent when we have parallel lines like this.
Side note: Another pair of alternate interior angles would be angle A and angle E.
how to determine which triangle is similar
Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Johnny took a math test with 25 questions and he answered 22 questions correctly. In order to get an A, he needs to answer at least 90 percent of the questions correctly.
a. Did Johnny get an A on this math test? Explain.
b. How many questions would Johnny need to answer correctly in order to get an A?
c. On the same exam, Johnny’s friend Jessie answered four times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Johnny or Jessie?
is this a multiple choice or do you have to answer them all?
Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
A. 2 hours
B. 3 hours
C. 20 hours
D. 30 hours
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Answer:
ŷ = 0.1197X + 9.2741
11.9 seconds
Step-by-step explanation:
Given the data:
Average number of leg press Repetition and average 40 yard dash line
Leg press rep (x) : 12 32 7 26 28 15 1
40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Using the linear regression calculator :
The equation of the line of best fit obtained is :
y = 0.1197X + 9.2741
Where;
x = leg press (predictor variable)
y = 40 yard dash (predicted variable)
Slope = 0.1197
Intercept = 9.2741
How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
22 leg press Repetitions = x
From the line of best fit equation :
y = 0.1197(22) + 9.2741
y = 11.9075
y = 11.9 seconds
The lines of best fit is the trend line of the dataset.
The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds(a) The equation of the line of best fit
The table is given as:
(x) : 12 32 7 26 28 15 1
(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
To determine the equation of line of best fit, we make use of a regression calculator.
Enter the above dataset in a regression calculator, the equation is:
[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places
(b) The number of seconds for 22 leg-press reps
This means that x = 22.
So, we have:
[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]
[tex]\mathbf{y =2.64 + 9.274}[/tex]
[tex]\mathbf{y =11.914}[/tex]
Approximate to the nearest tenth
[tex]\mathbf{y =11.9}[/tex]
Hence, the time for 22 leg-press reps is 11.9 seconds
Read more about linear regressions at:
https://brainly.com/question/18405415
PLEASE HELP ME I NEED SO MUCH HELP
Answer:
brainlist first
Step-by-step explanation:
Answer:
12)fx is the answer
Step-by-step explanation:
help please!!!!!!
Solve by graphing
Answer:
picture of graph filled in is attached.
Answer:
The lines do NOT intercept, then there is NO SOLUTION to the system
Step-by-step explanation:
Notice that the two lines given have the SAME slope (-3/2) and different y-intercepts. Therefore, when we graph them we are going to obtain two parallel lines (lines of the SAME slope) crossing the y-axis at different points.
We use for the first line two points like: (0, -1) and (2, -4)
and for the second line, the points (0, 3) and (2, 0)
The lines are plotted in the attached image.
2.35 to 2.82 by what percent did the price for gas increase over that week
Answer:
2.82 - 2.35 = 0.47 = about 17%
Step-by-step explanation:
17% of 2.82 = 0.4794
16% of 2.82 = 0.4512
The school that Mike goes to is selling tickets to a play. On the first day of ticket sales the school sold 11 senior citizen tickets and 2 student tickets for a total of $41. The school took in $51 on the second day by selling 13 senior citizen tickets and 3 student tickets. What is the price each of one senior citizen ticket and one student ticket
Answer:
$3 for seinor citizen and $4 for student
Step-by-step explanation:
The price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The school that Mike goes to is selling tickets to a play.
Let x be the price each of senior citizen ticket and y is the price of one student ticket
The equation can be framed as:
11x + 2y = 41
13x + 3y = 51
After solving the linear equation by substitution method:
x = 3
y = 4
Thus, the price of each of one senior citizen ticket and one student ticket is $3 and $4 respectively.
Learn more about the linear equation here:
brainly.com/question/11897796
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Estimate the total number of hairs on your head. To calculate your estimate, you must make assumptions
1. Assume head spherical and 50% covered with hair.
2. Assume a radius of 5 inches.
3. Assume 150 hairs per
A)
100,000 hairs
B)
250,000 hairs
500,000 hairs
D)
1,000,000 hairs
Answer: A 100,000 hairs
Step-by-step explanation:
What percent is equivalent to 2/3
66 1/3
66 3/5
66 2/3
66 7/10
Answer:
66 2/3
Step-by-step explanation:
(2/3)(100) = 66 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]
[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]
[tex]\mathbf{\dfrac{2}{3}}[/tex]
[tex]\mathbf{= 2\div3}[/tex]
[tex]\mathbf{= 0.66666667}[/tex]
[tex]\mathbf{= 0.66666667 \times 100}[/tex]
[tex]\mathbf{= 66.6666667\%}[/tex]
[tex]\mathbf{\approx 66.67\%}[/tex]
[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\mathbf{66 \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]
[tex]\mathbf{= \dfrac{199}{3}}[/tex]
[tex]\mathbf{= 199\div3}[/tex]
[tex]\mathbf{= 66.3333333}[/tex]
[tex]\mathbf{= 66.3333333 \times100}[/tex]
[tex]\mathbf{= 6,633.33333\%}[/tex]
[tex]\mathbf{\approx 6,633.33\%}[/tex]
[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\mathbf{66 \dfrac{3}{5}}[/tex]
[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{333}{5}}[/tex]
[tex]\mathbf{= 333\div5}[/tex]
[tex]\mathbf{= 66.6}[/tex]
[tex]\mathbf{= 66.6 \times 100}[/tex]
[tex]\mathbf{= 6,660}[/tex]
[tex]\mathbf{\approx 6,660\%}[/tex]
[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]
[tex]\mathbf{= \dfrac{200}{3}}[/tex]
[tex]\mathbf{= 200\div3}[/tex]
[tex]\mathbf{= 66.6666667}[/tex]
[tex]\mathbf{= 66.6666667\times100}[/tex]
[tex]\mathbf{= 6,666.66667}[/tex]
[tex]\mathbf{\approx 6,666.67\%}[/tex]
[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]
[tex]\huge\textsf{Option D.}[/tex]
[tex]\mathbf{66\dfrac{7}{10}}[/tex]
[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]
[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]
[tex]\mathbf{= \dfrac{667}{10}}[/tex]
[tex]\mathbf{= 667\div10}[/tex]
[tex]\mathbf{= 6.67}[/tex]
[tex]\mathbf{= 6.67\times100}[/tex]
[tex]\mathbf{= 6,670}[/tex]
[tex]\mathbf{\approx 6,670\%}[/tex]
[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]
[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]
[tex]\huge\textbf{The closest answer was:}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Jenn kept track of the amount of time she spent on homework for each subject. Which subject did she spend the least time on?
Answer:
all you have to do is change them all to the same denominator then get your answer
Step-by-step explanation:
Answer:
social studies
Step-by-step explanation:
I did the math
What’s is the value of the rectangular prism if the rectangular prims has an edge length of 3/4.
Answer:
27/64 cubic inches.
Step-by-step
Given: Edge length of cube = 3/4 inch
To find: Volume of the rectangular prism
Solution:
A cube is a three-dimensional solid object which has 12 edges, 8 vertices and 6 faces.
A rectangular prism is a solid three-dimensional object which has six faces that are rectangles.
Let n denotes number of cubes inside the rectangular prism
Volume of one cube = edge)3= 3/4 3 cubic inches
So, volume of rectangular prism =volume of n cubes = 27/64 n
Thomas decides on a destination for his vacation. If he takes the train there, it will take him 1/8 hours to get there. If he takes the plane, it will take him 2/3 hours. How many hours does the plane save?
Answer:
The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.
Step-by-step explanation:
To calculate the number of hours that the plane saves, you must make the difference between the number of hours that must travel by train and the hours that must travel by plane. This is:
[tex]5\frac{1}{8} - 2\frac{2}{3}[/tex]
A mixed fraction is the combination of a whole number and a fraction, as in this case. To subtract mixed numbers, one way to do it is, firstly, to convert both fractions into improper fractions, remembering that the procedure for this consists of multiplying the whole number by the denominator of the fraction, to which the numbered one must be added. of the fraction. This number will be the numerator of the new fraction.
In this case:
[tex]5\frac{1}{8}=\frac{5*8+1}{8} =\frac{41}{8}[/tex]
[tex]2\frac{2}{3}=\frac{2*3+2}{3} =\frac{8}{3}[/tex]
Then:
[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}[/tex]
Fractions have different denominators, so you need to find a common denominator in order to do the subtraction. A common denominator can be found by multiplying both denominators. Then you rewrite each fraction as an equivalent fraction with a denominator that is the common denominator. Finally you subtract the numerators and simplify the answer if necessary.
In this case:
[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}= \frac{123}{24} -\frac{64}{24} =\frac{123-64}{24} =\frac{59}{24}[/tex]
Now you write the answer as a mixed number. For that you divide 59 by 24 to obtain 2 with a remainder of 11, being able to express the number as:
[tex]\frac{59}{24} =2\frac{11}{24}[/tex]
So:
[tex]5\frac{1}{8} - 2\frac{2}{3}=2\frac{11}{24}[/tex]
The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.
Help me please
Question: Write a brief paragraph comparing and contrasting a rectangle and rectangular prism.
Answer:
First of all, rectangles and rectangular prisms have one foremost difference, which is their dimensions. A rectangle has two dimensions whilst a rectangular prism has three. Those dimensions include width, length, and height- but a rectangle has only width and length. Although, in comparison, they're both made from the same quadrilateral: rectangles. A "2D" rectangle has one, while a "3D" rectangle, or rectangular prism, is made of six. The rectangles that make up a rectangular prism can also be referred to as faces.
Toy stored 945 points playing 3 games of pinball. He scored
312 points in the first game and 356 points in the second game.
towary points did Troy score in the third game?
Show your work
Will
ten
estir
Answer:
178
Step-by-step explanation:
please help me 10 points
Answer:B
Step-by-step explanation:
First person with a answer is marked as the Brainliest Answer
Answer:
h(x) = x/5
Step-by-step explanation:
We want to know the value of y to satisfy the given equation. So:
[tex]6x+y=4x+11y\\\\y-11y=4x-6x\\\\-10y=-2x\\\\10y=2x\\\\y=\dfrac{2x}{10}\\\\\boxed{y=\dfrac{x}{5}}[/tex]
Hence, since h(x) returns the value of y we found before:
[tex]\boxed{h(x) = \dfrac{x}{5}}[/tex]
Reduce 18/45 to the simplest form.
Answer: 2/5
Step-by-step explanation:
Divide the numbers by 9 which is the common multiple
18/9 = 2
45/9 = 5
2/5
Activity: Which Tour Is It?
Instructions: Read the examples of tours below. Use the space provided to answer
each question.
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
Answer:
Step-by-step explanation:
hi im new im not sure what to do but yea
what is the best thing to wtch on peacock
Answer:
Ride Along, Identity thief, Parenthood or Bullet Proof
Step-by-step explanation:
Can you help me with this thanks
Answer:
no
Step-by-step explanation:
AA
vle.mathswatch.co.uk
+
Question Progress
Homework Progress
6/43
a)
Write down, in figures, the number forty one thousand and ninety six.
Answer:
41096
Step-by-step explanation:
How many quarts are in 3.75% of 20 gallons?
Answer:
3 quarts
Step-by-step explanation:
Answer:
There are 3 US Quarts in 3.75% of 20 gallons.
191.0
Find the number with the given prime factorization.
23. 2 X 2 X 5 X 7 X 11
Answer: 1540
Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.
I am trying to understand how to solve for X, then solve the equation
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Please help
Picture inserted
Multiple choice
Will appreciate if u help
Answer:
Uhm I can not see the pic sorry :c
Step-by-step explanation:
jeremy listed five rational numbers
Answer:
what do you want me to list 5 rational numbers?
Step-by-step explanation:
If so then:
5/1, 1/2, 1.75, -2/17, 9/-11
Write 1/8% as a decimal
Answer:
0.125
Step-by-step explanation:
Answer: .125
Hope this helps!
Solve. Write the fraction in simplest form.
8
Mr. and Mrs. Smith have a home equity loan of $24,000. They have paid off of the
20
loan. How much of the loan have they paid off?
Answer:
Step-by-step explanation:
Equity loan amount = $24,000.
percentage paid off = 20%
Required
The amount paid off
The amount paid off = 20% of the loan amount
Amount paid off = 20/100 * 24000
Amount paid off = 0.2 * 24000
Amount paid off = 4800
Hence the amount of the loan paid off is $4,800
Kaylee is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Kaylee scored a total of 24 points and made 3 more three point shots than two point shots. Graphically solve a system of equations in order to determine the number of two point shots made, x,x, and the number of three point shots made, yy. How would you graph this?
Answer:
Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.
Explanation:
You know that a two point shot would be worth [tex]2[/tex] points. You also know that a three point shot would be worth [tex]3[/tex] points, and that she scored a total of [tex]24[/tex] points. Using this information you can create the first equation:
[tex]3x+2y=24[/tex]
For the second equation, you know that Kaylee scored [tex]3[/tex] more three point shots than two point shots.
[tex]y+3=x[/tex]
You would then graph it as a system of equations. Using the graph, you can figure out the solution of the system of equations, [tex](6,3)[/tex]. For the two equations above, we made two point shots [tex]x[/tex], and we made three point shots [tex]y[/tex], so Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.