Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.
What is similarity?
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
How to check similarity of triangle?
In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.
To check AA similarity we have to check whether two angles are equal in two triangles to be similar.
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pls help thank you very much:)
A (4,7) B(7,8) C (22,30)
Two sides of a triangle have lengths 8 and 16. Which expression describes the length of the third side?
greater than 8 and at most 24
at least 8 and at most 24
at least 8 and less than 24
greater than 8 and less than 24
Answer:
Based on the given description above, the correct answer would be the second statement. If two lengths of two sides of a triangle are 9 and 15, therefore, the length of the third side must be greater than or equal to 6 and at most 24. Hope this answer helps.
Step-by-step explanation:
Amani's calculator weighs 7/25 pound. \tVhat is the weight of her calculator expressed as a
decimal?
Answer:
0.28 pounds
Step-by-step explanation:
Here, we want to get the weight of the calculator expressed as a decimal
Mathematically, what we have to do is to divide 7 by 25
The answer is 0.28 pounds
Rachel drove 140 miles on 5 gallons of gas. At this rate, how far could she drive on 9 gallons of gas?
Answer: 252 miles on nine gallons of gas.
Step-by-step explanation:
Find how many miles Rachel can travel on 1 gallon of gas by dividing 140 by 5 to get 28.
After getting 28, multiply it by 9 to get 252.
Therefore, Rachel, on nine gallons of gas, can travel 252 miles.
Hope this helped you out, dawg.
17. Carole Winer deposits the following in her checking account: 7 five-
dollar bills, 3 two-dollar bills, 18 one-dollar bills, 9 half dollars, 15
quarters, 99 dimes, 48 nickels, 16 pennies, and a check for $28.32.
What is her total deposit?
Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.
Answer:
80 visitors
Step-by-step explanation:
From the above question, we can see that:
The trend is explained using geometric sequence
The formula for Geometric sequence is given as:
an = ar ^n - 1
Where a = first term
r = common ratio
n = number of terms
an = nth term
From the above question, let the number of term be equal to the number of weeks.
First week = First term = 5
Second week = Second term = 10
Third week = Third term = 20
Common ratio = a2/a1 = a3/a2 = 10/5 = 20/10 = 2
We are to find the number of visitors for the Fifth week = fifth term,
Hence:
a5 = 5 × 2^5 - 1
a5 = 5 × 2^4
a5 = 80 visitors
The number of visitors we can expect for the fifth week = 80 visitors
Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 4 hours and fill 108 boxes, Adsila fills 11 boxes every hour. How many boxes does Carlos fill every hour?
Answer:
Carlos fills 16 boxes per hour.
Step-by-step explanation:
Given that:
Adsila and Carlos are working together to fill the gift boxes for soldiers.
Number of boxes filled while working together in 4 hours = 108 boxes
Number of boxes filled while working together in 1 hour = [tex]\frac{108}{4} = 27[/tex] boxes per hour
Number of boxes filled by Adsila every hour = 11 boxes
To find:
Number of boxes filled by Carlos every hour = ?
Solution:
Number of boxes filled every hour while working together = Number of boxes filled every hour by Adsila + Number of boxes filled every hour by Carlos
Number of boxes filled every hour while working together = 27 = 11 + Number of boxes filled every hour by Carlos
Number of boxes filled every hour by Carlos = 27 - 11 = 16
The wholesale cost of a bicycle is $98.75.
The markup for the bicycle is 33.3%. Find
the selling price of the blcycle. Round to
the nearest cent. (Answer please)
Answer:
$131.60
Step-by-step explanation:
For the promotion, markup is 33.3% of the selling price.
Now, Selling Price = Cost price + Cost price*Markup
Selling Price = $98.75 + $98.75*33.3%
Selling Price = $98.75 + $32.88375
Selling Price = $131.63375
Selling Price = $131.60
Thus, the selling price of the bicycle after calculating the markup is $131.60.
What are the five positions of classical ballet?
Answer:
1st, 2nd, 3rd, 4th, and 5th position.
Step-by-step explanation:
Help please answer me if u can
Answer:
the fourth one
Step-by-step explanation:
draw the koordinate plan if you can first
Solve the equation: f(x) = 3r - 2x +5
Makayla and John are selling cookie dough for a school fundraiser. Customers can buy chocolate chip or gingerbread cookie dough. Makayla sold 8 packages of chocolate chip and 12 packages of gingerbread cookie dough for a total of $364. John sold 1 package of chocolate chip and 4 packages of gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.
The cost per package is $---- for chocolate chip and $----- for gingerbread.
Answer:
Step-by-step explanation:
Lets give a letter value for the chocolate chip and gingerbread cookies. Lets let C= Chocolate chip and G= Gingerbread For Makayla we can set her equation as 8c+12g=364
For John we can leave it as c+4g=93
To solve the equation we would have to substitute the second one into the first one to solve for gingerbread. Lets isolate C to make C=(93-4g)
We can do this because we know that C=93-4g so we can replace the C variable in the first equation with C=93-4g
8(93-4g) + 12g = 364
744 - 32g + 12g = 364
-32g + 12g = 364 - 744
-20g = -380
g = -380/-20
So we know that g=19 dollars. So one gingerbread cookie dough is $19
So now we can plug in the answer of g which was 19 then solve for C
c = 93 - 4(19)
c = $17 for the chip dough
Answer:
The cost per package is $17 for chocolate chip and $19 for gingerbread.
Step-by-step explanation:
Define the variables:
Let x = cost of chocolate chip cookie dough (in dollars)Let y = cost of gingerbread cookie dough (in dollars)Given information:
Makayla sold 8 packages of chocolate chip and 12 packages of gingerbread cookie dough for a total of $364. John sold 1 package of chocolate chip and 4 packages of gingerbread cookie dough for a total of $93.Create two equations using the defined variables and the given information:
[tex]\textsf{Equation 1}: \quad 8x+12y=364[/tex]
[tex]\textsf{Equation 2}: \quad x+4y=93[/tex]
Multiply Equation 2 by 3:
[tex]\implies 3 \cdot x + 3 \cdot 4y=3 \cdot 93[/tex]
[tex]\implies 3x+12y=279[/tex]
Subtract from Equation 1 to eliminate the term in y:
[tex]\begin{array}{lrl}& 8x+12y =&364\\- & (3x+12y =&279)\\\cline{1-3} & 5x \phantom{+12y)} =& \:\:85\end{array}[/tex]
Solve for x:
[tex]\implies 5x=85[/tex]
[tex]\implies \dfrac{5x}{5}=\dfrac{85}{5}[/tex]
[tex]\implies x=17[/tex]
Substitute the found value of x into Equation 2 and solve for y:
[tex]\implies x+4y=93[/tex]
[tex]\implies 17+4y=93[/tex]
[tex]\implies 17+4y-17=93-17[/tex]
[tex]\implies 4y=76[/tex]
[tex]\implies \dfrac{4y}{4}=\dfrac{76}{4}[/tex]
[tex]\implies y=19[/tex]
Conclusion
Cost per package of chocolate chip cookie dough = $17.Cost per package of gingerbread cookie dough = $19.Learn more about systems of equations here:
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Which expression represents the correct form of the partial fraction decomposition of StartFraction 19 x + 20 Over x squared minus 64 EndFraction? StartFraction A x + B Over x squared minus 64 EndFraction StartFraction A Over x minus 8 EndFraction + StartFraction B Over x + 8 EndFraction StartFraction A x + B Over x squared minus 64 EndFraction + StartFraction C over x minus 8 EndFraction StartFraction A Over x minus 8 EndFraction + StartFraction B x + C Over (x minus 8) squared EndFraction
Answer:
A
Step-by-step explanation:
I got it right, Edg2020
Answer:
It's B!
Right On Edge
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = 5[tex]\sqrt{2}[/tex]
What is the number that when you multiply by 2 and add 7 to the product you get is 10.8 pls answer
Answer:
1.9
Step-by-step explanation:
2x+7=10.8
2x=3.8
x=1.9
1.9x2=3.8+7=10.8
The required number is 1.9, when multiply by 2 and add 7 to the product gives 10.8.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
let the number be x,
According to the question,
2x + 7 = 10.8
Simplifying the above expression,
2x = 10.8 - 7
2x = 3.8
x = 1.9
Thus, the required simplified value of the given equation model is 1.9.
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which is the best estimate of -14 1/9 (-2 9/10)?
-42
-28
28
42
Answer:
-42
Step-by-step explanation:
8
Given the summation E (3 + 2n),
n=1
a. Write the first four terms of the sequence.
Answer:
(e^3 / e^2n)
Step-by-step explanation:
Write an equation for the nth term of each arithmetic sequence. Then find the 12th term of the sequence.
as = 14, d = -3
We need to know about arithmetic sequence to solve this problem. The equation for the nth term of each arithmetic sequence is a+(n-1)d and the 12th term of the sequence is -19.
An arithmetic sequence is a sequence of numbers where the difference between consecutive numbers is constant. If a,b and c are in arithmetic sequence then we can say that 2b=a+c. If the starting value of an arithmetic sequence is a and the difference between every consecutive number is d, then we can write the second number as a+d, the third as a+2d and so on. So for the nth term of an arithmetic sequence the equation is
nth term=a+(n-1)d where a is the starting value, d is the constant difference
We have been given the value of a and d, a=14 and d=-3, we need to find the value of the 12th term of the sequence.
12th term= a+(n-1)d= 14+(12-1)x(-3)=14-33=-19
Therefore we found out using the concept of arithmetic sequence that the equation for the nth term is a+(n-1)d and the 12th term of the sequence is -19.
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nick, janet, huiju, and amanda go to the world's largest brat fest. each of them is equally likely to order a meat brat, a hot dog, or a veggie brat. what is the probability that $2$ of them order a meat brat, and the other two order hot dogs?
The opportunity that 2 of them order a meat brat, and the other order warm puppies = 2/27
The chance of any one of them ordering a meat brat / dog is 1/3.
the 2 human beings that can be selected to select each of different ingredients in
⁴C₂= 6;
The probability that 2 of them order a meat brat, and the other two order hot dogs = 6 × (1/3)⁴ = 2/27;
What is probability explain?
probability is a measure of the chance of an event to arise. Many activities can't be expected with total fact. we will predict handiest the chance of an event to occur i.e. how possibly they are to happen, using it
probability is the department of mathematics regarding numerical descriptions of ways probably an event is to occur, or how in all likelihood it is that a proposition is genuine. The opportunity of an occasion is various among zero and 1, where, more or less speakme, zero indicates impossibility of the event and 1 suggests truth
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Solve the formula V = s²h for s.
Answer: [tex]s=\sqrt{Vh}[/tex]
Step-by-step explanation:
[tex]V = s^2h\\[/tex]
divide both sides by h to isolate s
[tex]Vh=s^2[/tex]
since s is squared, square root both sides to make s not squared
[tex]\sqrt{Vh}=\sqrt{s^2}[/tex]
Vh isn't a numerical value so no need to simplify anything just leave everything as is, so you should get:
[tex]s=\sqrt{Vh}[/tex]
In 2010, a major coffee store chain had 137,239 employees across the world. About how many employees did they have, if they rounded to the nearest thousand?
Answer: 137,00
Step-by-step explanation:
what is a solutions of x^2-2x+10=0?
Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
30 POINTS! PLATO HELP! NUTRITION CLASS!
The Egyptians invented _____ , which they used to store ______ for many years.
Storage silos
Wooden baskets
Glass bottles
Wines
Grains
Vegtables
Answer:
30 points where ???
Step-by-step explanation:
Answer:
The answer is The Egyptians invented storage silos, which they used to store grains for many years.
Step-by-step explanation:
Hope this helps!! :)
find the compound interest on 30,000 for 2years at 7 percent per annum
Answer:
34347
Step-by-step explanation:
Use the formula s=p(1+r/k)^kt
p=30000
r=7% (interest)
k=1 (because of per annum)
t= 2 (years)
Hence: 30000(1+0.07/1)^1(2) = 34347
can someone pls help me with this?
15х – бу = 6
Answer:
x=2/5y+2/5
Step-by-step explanation:
please help and explain i’ll mark brainliest!! worth a lot of points too
Question 11 (5 points)
The ordered pair (2,6) is a solution to the system of linear equations.
x + y = 8
3x - y = 0
O True
False
Answer:
Yes
Step-by-step explanation:
Substitute the x value in the ordered pair for the x in the equation, or 2, and the y-value (6) in for y. So, 2 + 6 = 8, and this is true. Then do 3(2) - 6 = 0, which is also true.
Please help!!!! With my Algrebra 2 homework!! i will give brainiest and 60 pts
options are
A. A(x)= 3| x- 6| + 4
B. A(x)= 1/3 |x+6| + 4
C. A(x)= 3 |x+6| + 4
D. A(x)= 1/3|x-6| +4
Answer: C
Step-by-step explanation: I tested some points from the graph into all of the equations (-8,10) (-4,10) (-6,4) and C is the only one that works for all of them. Plus when you are adding inside an absolute value, it means you are moving to the left by whatever number you added, which automatically eliminates A and D. So B and C were the only ones left and I tested the points to see which one is correct.
please help due in an hour!!!
Answer:
The answer is C
Step-by-step explanation:
How do I solve this
Answer: 0.10 I think
Step-by-step explanation:
i am not 100 percent sure consider looking it up