Please Answer
Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
Answer: The triangles are not similar.
===============================================
Explanation:
Create a 3x3 table. It has 3 rows and 3 columns.
Above the top row, we'll have the side lengths of triangle VUW
Along the left side of the table, we'll have the lengths of triangle LNM
Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.
Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.
After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.
Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.
Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.
a teacher has 90 pencils to give to her students. the pencil came in boxes of 6. how many boxes of pencils does she have
Answer:
she has 15 boxes of pencils
Step-by-step explanation:
if we have 90 total pencils that need to be split into groups of 6, the way to find how many groups there are is by dividing 90/6, which gives you 15 groups or, in this case, 15 boxes. and you can check your work by multiply the 15 boxes by the 6 pencils in each box, which gives you 90 pencils total, so you're all good!
can someon please help me
Answer:
8.0018.018.19111316Step-by-step explanation:
How do you get from one number 100 to 90
Write the possible subset of C= {2,4,6}
Step-by-step explanation:
For this set there are 8 subsets and 7 proper subsets
the subsets are:
{}
{2}
{4}
{6}
{2,4}
{2,6}
{4,6}
{2,4,6}
Solve each system using substitution or elimination. Show all required work. Y=-5x^2+2x-3 Y=-3x-3
Step-by-step explanation:
y = -5x² + 2x - 3 and y = -3x - 3.
=> -5x² + 2x - 3 = -3x - 3
=> 5x² - 5x = 0
=> 5x(x - 1) = 0
=> x = 0 or x = 1.
When x = 0, y = -3(0) - 3 = -3.
When x = 1, y = -3(1) - 3 = -6.
The solutions are (0,-3) and (1,-6).
21. A farmer is filling a hole in his farm with
dirt. He measures the hole to be in the shape
of a rectangular prism measuring 12 feet by 4
feet by 3 feet. If the cost of dirt is $1.25 per
cubic foot, then how much will he spend?
Answer
V = lwh
V = 3*4*12
V = 144
$1.25*144 = 180
he will spend $180
Step-by-step explanation:
42 students are going on a field trip and need to ride in a bus. Each bus can hold 4 students. How many buses will the students fill completely?
Answer:
11 buses
Step-by-step explanation:
Divide 42 by 4 to get 10 and a remainder of 2. The 2 students not on the bus need another bus so you need 10+1=11 buses
What could you do to solve the problem below?
There are 5 members in a jazz band. If the band gets paid $220 for a show
and they split the money evenly, how much will each member receive?
A. Add 5 to 220
B. Subtract 5 from 220
229
C. Multiply 5 by 220
D. Divide 220 by 5
Answer:
Step-by-step explanation:
$220
5 members
220/5
=44
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.
C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?
D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table above we can see that Anna makes more stuffing than Jason.
c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100[/tex]
We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)
For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100
D) The line pass through (10, 10) and (100, 40), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}[/tex]
Which situation is best represented by the equation below?
5W + 7 = 127
HELP ME PLEASE
The table below shows the height and the hand span of five students. What pattern of association best describes the relationship between the height and the hand span?
1) no association
2) non linear association
3) positive linear association
4) negative linear association
Answer:
2
Step-by-step explanation:
2
5.5 x 10 ^-3 I need help on this question pls.
Answer:
0.0055
Step-by-step explanation:
i answered the same on , mark me brainliest
Answer:
0.0055
Step-by-step explanation:
I dont have a step by step explanation.
Which of the following are square roots of —8 + 8i/3? Check all that apply.
Answer:
Options (2) and (3)
Step-by-step explanation:
Let, [tex]\sqrt{-8+8i\sqrt{3}}=(a+bi)[/tex]
[tex](\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2[/tex]
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a = [tex]\frac{4\sqrt{3}}{b}[/tex]
By substituting the value of a in equation (1),
[tex](\frac{4\sqrt{3}}{b})^2-b^2=-8[/tex]
[tex]\frac{48}{b^2}-b^2=-8[/tex]
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a = [tex]\frac{4\sqrt{3}}{b}[/tex]
For b = ±2i,
a = [tex]\frac{4\sqrt{3}}{\pm2i}[/tex]
= [tex]\pm\frac{2i\sqrt{3}}{(-1)}[/tex]
= [tex]\mp 2i\sqrt{3}[/tex]
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a = [tex]\frac{4\sqrt{3}}{\pm 2\sqrt{3}}[/tex]
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
Answer: b and c
Step-by-step explanation:
If I have 1,518 oranges and sell them for . 25¢ each. How many money would I make?
Answer:
379.5¢
Step-by-step explanation:
Given that :
Number of oranges = 1,518
Cost per orange = 0.25¢ each
Amount made = (number of oranges * cost per orange)
Amount made = 1518 * 0.25
Amount made = 379.5¢
Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6.a. What are the mean, standard deviation, and shape of the distribution of x-bar for n = 50?b. What’s the probability a sample of scores will have a mean greater than 80?c. Sketch the distribution curve for part B, showing the area that represents the probability you found.
Answer:
ux = 78
s= 0.8485
P ( z>0.33) = 0.3707
Step-by-step explanation:
According to central limit theorem the mean of the population is equal to the mean of the sample and the standard deviation is found by dividing the standard deviation of the population with the square root of the sample size
Thus
ux = u= 78
σ= 6
s= σ/√n= 6/√50= 6/7.07106= 0.8485
We find the z score
Z= X- u / σ
z= 80-78/6
z= 2/6= 1/3=0.333
P ( z>0.33) = 1 - P(z=0.33)
= 1- 0.6293
= 0.3707
We see in the figure that the blue area represents the area greater than z= 0.333 or area greater than 1/3.
The probability of z= 0.33 from the table is 0.6293
We find the probability of area greater than 0.33 by subtracting from 1 .
PLEASE HELP I WILL GIVE YOU 5 STARS AND A THANKS AND BRAINLIEST (If you tell me how to make you brainliest, lol) What is 81.818182% rounded to the nearest hundredthh???????/
Answer:
81.82%
Step-by-step explanation:
cuz meth
Answer:
81.82
Step-by Step
In order to round to the nearest thousand, you simply have to move the decimal point to the RIGHT. Hope it helps!
~Happy holidays
ABDE is an isosceles trapezoid. Select all
pairs of congruent triangles.
A. Triangle ABE and triangle DBE
B. Triangle ABD and triangle DAE
C. Triangle ABE and triangle BAD
D. Triangle AED and triangle BDE
E. Triangle EAB and triangle EDB
Answer:
Step-by-step explanation:
triangles that are the same are congruent
A) no
B) no
C) yes
D) yes
E) no
For 3/4 (three fourths) of a pound of peanuts, Jimmy paid $2.25. What is
the unit rate (dollars per pound)?
The population of new york city in 2013 was about 8,406,000 people which number best appoximates the population as a single digit times a power of ten
Answer:
8 * 10^6
Step-by-step explanation:
The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;
A * 10^n
A is any integer between 1 and 10
n is any integer.
Given the value 8,406,000
8,406,000.
We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;
8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)
Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6
whats 28 11/14 in simplest form
Answer is:
29/2 = 14.5
65% of what number is 27
Answer:
41.54
Step-by-step explanation:
Seperate 82 in two parts so that one of the parts is 3 times bigger than the other part
Answer:
one part = 20.5
the other part = 61.5
Step-by-step explanation:
let one part = x
let another part = y
(1) create two equations
i) 82 is separated into 2 parts, x and y. it means x plus y equals to 82
x+y = 82
ii) one part is bigger than the other. if x is the bigger part, it is 3 times bigger than y
x = 3y
(2) use substitution method to find the value of x and y
x+y = 82 -------- (1)
x = 3y ---------- (2)
substitute (2) into (1)
x+y = 82
3y+y = 82
4y = 82
y = 82/4
y = 20.5
substitute y = 20.5 into (2)
x = 3y
x = 3(20.5)
x = 61.5
I need help on rational numbers and coordinates planes. I don't quite understand it.
Answer:
A Rational Number can be made by dividing two integers
The cordinate plane can be used to plot points and graph lines
simplify the expression -3/5(-8 + 5/9x -3)
Please help me on this
need help will mark brainliest for best answer
Answer: True
Step-by-step explanation:
The function is even and negative. A negative function opens down. With this information, the statement is true: the function opens down.
Answer:
True
Step-by-step explanation:
Given a parabola in vertex form
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then the graph opens up
• If a < 0 then the graph opens down
Given
f(x) = - (x + 3)² + 2 ← in vertex form
with a = - 1 < 0 then graph opens down is True
PLEASE HELP AGAIN LOL WHAT IS 4(2x+1)-3
Answer:
8x + 1
Step-by-step explanation:
8x + 4 -3
Answer:
8x+1
Step-by-step explanation:
I dunno why my answer has to be at least 20 characters
1. 9(2+3x)=45
2. 8(4+x)=64
Solve for x
Answer:
1) x=1
2)x=4
Step-by-step explanation:
Solved the equation and checked using calculator
factorize the following expressions
Answer:
6) b(3a^4-5c³)
7) 3x³yz(2x+5y)
8) 4a²b²c³(2bc-3a)
9) 4xy(2y+7z-1)
10) 2mn(5n²+2m-3n)
Step-by-step explanation:
6) Factor out the b and you get b(3a^4-5c³)
7) Factor out the 3x³yz and you get 3x³yz(2x+5y)
8) Factor out the 4a²b³c³ and you get 4a²b²c³(2bc-3a)
9) Factor out the 4xy and you get 4xy(2y+7z-1)
10) Factor out the 2mn and you get 2mn(5n²+2m-3n)
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 5.3 gallons in the 12-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.80 per gallon. How much did Lou spend on gas? He spent $__ on gas.
Answer:
$26.98
Step-by-step explanation:
1. You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
Answer:
26.98
Step-by-step explanation: 5.3 * 3.8 = 26.98