Michael and Jane want to build a kite with four equal sides. They know that KT and TE are eight inches which makes point T the midpoint of (KE). Describe how Michael and Jane can be absolutely certain that KI, IE, ES, and KS are all the same lengths.
Answers
Answer:
with the help of the theorems of triangles AAS ≅AAS
Step-by-step explanation:
We see from the figure that K and E are equidistant from T. To be absolutely certain that KI, IE, ES, and KS are all the same lengths the diagonals must bisect each other perpendicularly at 90 degrees for the given figure to be a rhombus. A rhombus is a parallelogram in which all sides are equal.
If we look at the figure more carefully then we find that there are four triangles. Of the which the two sides KE and TE of the triangles are equal. Also the diagonal indicates that they both have a 90 degrees angle. Hence the two triangles KST and EST are equal.
To prove that triangle KEI is equal to Triangle KES.
Both have one line common which equal to both.
Both have a mid point T on the common line which divides the both bigger triangles into smaller triangles making 90 degrees angle. Hence the angles
KEI and KSE are of 90 degrees which are also opposite.
The angles SKT and IKT and angles IET & SET are equal and opposite angles. Thus both the triangles KEI and triangle KES are equal and opposite having equal and opposite sides.
Related Questions
Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500 .
Which other car tax price varies directly with hers?
A) Purchase Price = $68,000 & Tax = $1,020
B) Purchase Price = $92,000 & Tax = $2,760
C) Purchase Price = $75,000 & Tax = $1,350
D) Purchase Price = $85,000 & Tax = $2,040
Answers
Answer:
so when looking at the tax minus the cost
100%/x%=80500/1932
(100/x)*x=(80500/1932)*x
100=41.666666666667*x
100/41.666666666667 or 6 infinite will get us
2.4=x
x=2.4
so times 2.4% with every cost to see it it matches the tax given!
A is incorrect
it equals 1632
B is not correct as it equals 2208
C is incorrect as it equals 1800 dollars in tax
D is CORRECT as it has the same number in Tax
2040
There are seven houses, each containing seven cats. Each cat kills seven mice, each mouse would have eaten seven ears of corn. Each ear of corn would have produced seven sacks of grain. What is the total number of all of these items?
Answers
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of all these items is 19,607.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
There are seven houses, each containing seven cats.
Number of house = 7Number of cars = 7 x 7 =49Each cat kills seven mice.
Number of mice = 49 x 7 = 343Each mouse would have eaten seven ears of corn.
Number of Ears of corns = 343 x 7 = 2401Each ear of corn would have produced seven sacks of grain.
Number of sack of grains = 2,401 x 7 = 16,807Now, the total number of all these items is,
Total number of items
= Number of house + Number of cars + Number of mice + Number of ears of corns + Number of sack of grains
= 7 + 49 + 343 + 2401 + 16807
= 19,607
Hence, the total number of all these items is 19,607.
Learn more about Multiplication here:
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Water flows on the Amazon river near the cachoeira de Santuario waterfalls at a velocity 75 meters per second. If a low height run of the river turbine is installed that captures 10 cubic meters, what power will it generate
Answers
Answer:
7.5 MW
Step-by-step explanation:
The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:
Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)
P = ρQgh
But Qh = Velocity(v) * volume(V).
Hence power = ρvgV
Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:
P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W
P = 7.5 MW
Solve 3v−8v+7v=24. I need help on this question in math
Answers
Answer:
v=12
Step-by-step explanation:
3v-8v+7v=24
3v-v=24
2v=24
v=12
What is the definition of decimal??
What is the definition of perimeter??
What is the definition of Estimating??
What is the definition of Decimal Number??
Answers
Answer:
definition of decimal is : relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and power of ten.
(Definition of perimeter: The continuous line forming the boundary of a closed geometric figure.)
definition of estimating : Roughly calculate or judge the value, number, quantity, or extent of .
Answer:
decimal:relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.
perimeter:the continuous line forming the boundary of a closed geometric figure.
estimating:roughly calculate or judge the value, number, quantity, or extent of.
decimal number:decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation
Step-by-step explanation:
How might we know whether X is a positive number negative number or 0 without solving the equation 5x=6x
Answers
hope that’s helpful!
Find the sale price of each item. Round to two decimal places when necessary.
Original price: $325; Markdown: 15%
Answers
Answer:
Sale Price: 276.25
Step-by-step explanation:
The original price of the item is $325 and the markdown is 15% off.
So, all you have to do is find out what 15% of $325, which it's 48.75, and subtract that from $325 to get your final sale price, which is $276.25.
plz do both plz plz plz
Answers
Answer:
3. C or 18.
4. Perimeter: 10 Area: 6.25
5. 3 and 16
Step-by-step explanation:
3. Because the area of a triangle is 1/2 the base times the height if you double the area you can divide this total area by one side to find the length of the other side. In this problem that is 72*2 which is 144. Then dividing 144/8 you get 18, which is answer choice C.
4. Since a square has 4 sides that are all the same, you only need to know one side length to know them all. Multiplying one side length (2.5) by itself will get you the are of the square as a whole. Doing this (2.5 multiplied by 2.5 gets the area of 6.25.
For the perimeter calculation use the formula for a perimeter of a square which is one side (2.5) multiplied by 4 is 10, which is the perimeter.
5. This is because 3*16 is 48 or the area of the rectangle.
help me pls..............
Answers
Answer:
y=-1,0,1,2,3
Step-by-step explanation:
y=1x+1
y=1(-2)+1
y=-1
y=1(-1)+1
y=0
y=1(0)+1
y=1
y=1(1)+1
y=2
y=1(2)+1
y=3
There are 3/2 cups of trail mix in a bag. A serving of trail mix is cup. How many servings of trail mix are in
the bag?
Answers
Answer:
1 cup .75 pints
Step-by-step explanation:
Peter bought 8 lemons for $6 .each lemon was the same price .what was the cost for 1 lemon
Answers
Answer:
0.75 or 75 cents!
Hope this helps!
75 cent is the Answer
What is the length of the altitude of the equilateral triangle below
Answers
Answer:
F
Step-by-step explanation:
Using Pythahorean theorem
It is equal to
12.
20 people show up to the party, and Robert decides to give them each the same
amount of pizza. How much pizza does each person get?
Answers
Answer:
depends on how much pizza he has.
Step-by-step explanation:
.
The combined height of one for tree and one Pinetree is 21 m. The height of four for a tree stacked on top of each other is 24 m taller than one Pinetree. How tall are the types of trees that Logan genetically engineered?
Answers
Given :
The combined height of one for tree and one Pine tree is 21 m.
The height of four for a tree stacked on top of each other is 24 m taller than one Pine tree.
To Find :
How tall are the types of trees that Logan genetically engineered.
Solution :
Let, height of tree and pine tree is x and y.
So, x + y = 21 ...1)
4x - y = 24 ...2)
Putting value of y from equation 1 to equation 2, we get :
4x - ( 21 - x ) = 24
5x = 45
x = 9 m
y = 21 - x = 21 - 9 = 12
y = 12 m
Therefore, length of tree and pine tree is 9 m and 12 m.
Please help me with this -.-
Answers
Answer:
m=4
Step-by-step explanation:
ABCD is 2.5x larger than QRST so you just divide the 10 by 2.5
Answer:
4
Step-by-step explanation:
Because the two trapezoids are similar, we need to find out what multiplied by 15 gets us to 6.
We would multiply it by 2/5, so 10 multiplied by 2/5 is 4.
what does 5+5 equals?
Answers
5+5 =10
Step-by-step explanation:
Extended form: 5+5
1+1+1+1+1=5
so,
1+1+1+1+1+1+1+1+1+1=10
Answer:
Step-by-step explanation:
5 + 5 =10.
Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.
Answers
Answer: 1
From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.
i hope this helped! :D
Lucky Purchased a prepaid phone card for 20$. long distance calls cost 21 cents a minute using this card. Lucy used her card only to make one long distance call. if the remaining credit on her card is $12.02 how many minutes did her call last?
Answers
Answer:
38
Step-by-step explanation:
20-12.02=7.98
7.98÷0.21=38
Answer:
She spent 38 minutes on her phone call
Step-by-step explanation:
.21 for each minute
so .21x38=12.02
If you’re running in a race and you pass the person in second place, what place are you in? I'm running out of things to say!!
Answers
Answer: 2nd place
Step-by-step explanation: you were in 3rd place and you passed the person in 2nd now making your placement 2nd and the other persons 3rd
Answer:
You are in secound place.
Step-by-step explanation:
Although you may think its first, in a race when you pass someone you switch places with them, not get 1 ahead of their place! (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Help Me! ASAP! What is the graph of y= 3/4x-3?
Answers
Answer:
#3
Step-by-step explanation:
Answer:
the right one
you would have to start at 0 and go down three because it's a -3
evaluate the expression x=6 7x
Answers
Answer:
42
Step-by-step explanation:
because if x=6 then you multiply 7 x 6 which is 42
Hope this helped
Bri <3
If line c is parallel to line d, what is the measure of
angle 1?
b
136°
(x + 21)
d
2x
136
O 146
44
24
Answers
Answer:
It’s 42° and so is angle D
Step-by-step explanation:
What is 6z−2y−8z+5y−4+z written in simplest form?
Answers
Answer:
First answer 3y-z-4
Step-by-step explanation:
Answer:
D. 3y-z-4
Step-by-step explanation:
What is the answer to -11 1/8 - 12 1/4 - (-21 1/2)
Answers
Answer:
491 /8
Step-by-step explanation:
If a board measures LaTeX: 4\frac{3}{8}4 3 8 centimeters long and it is cut into lengths of LaTeX: 1\frac{2}{3}1 2 3 how many pieces will you have?
Answers
Answer:
ok
Step-by-step explanation:
Answer:
5 3/4
Step-by-step explanation:
i not good at explaining
The enrollment at Sunshine College has been increasing by 45 students per year .Currently Sunshine College has 1100 students attending. Marigold College currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year. If the two colleges continue their enrollment trends over the next few years, how many years will it take the schools to have the same enrollment?
HINT: Write the 2 equations and then set them equal to each other.
Answers
Answer:
15 years
Step-by-step explanation:
1100 + 45y
2000 - 15y
plug 15 into y and the equations answer should be the same
A figure is shown.
What is the measure of X, in degrees?
Answers
The answer is 65
...............
mark me brainliest ✌
Consider u = (5,-2) and v= (10,-4). What is the relationship between u and v?
Answers
Answer:
a
Step-by-step explanation:
e d g e 2 1
The relationship between the both component would be v = 2u. So, the option A. The vectors point in the same direction is correct.
How to find the vector component?If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Consider u = (5,-2) and v= (10,-4).
Now, multiply each component by 2
2u = 2 (5, - 2 )
= (10, - 4) = v ,
then
v = 2u
Hence, the relationship between the both component would be v = 2u.
So, the option A. The vectors point in the same direction is correct.
The complete question is
"Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between u and v?.
A. The vectors point in the same direction.
B. The vectors form an acute angle.
C. The vectors form an obtuse angle.
D. The vectors point in opposite directions."
Learn more about vectors;
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PLEASE HELP ASAP WILL GIVE BRAINLIEST
Simplify and then classify by degree and number of terms: 2x*3x^2(4x-5)
Answers
Answer:
2x*3x^2(4x-5)
Answer:
24x^4 - 30x^3
4th degree binomial
Step-by-step explanation:
2x * 3x^2 (4x - 5) start by combining like terms
6x^3 (4x - 5) now distribute 6x^3 to the terms in the parentheses
24x^4 - 30x^3
Because there are only two terms now, it is a binomial
And because the highest power is 4, it is a 4th degree binomial
A bear walks one mile south, then one mile east, then one mile north, and ends up right Back where it started. What Color is the Bear?? someone PLEASE HELP ME WITH THIS MATH WORD PROMBLEM. This may look easy but it seems hard to me... PLEASE SOMEOME HELP ME ASAP PLZ!!!!
Answers
Answer:
uhh... I think it’s uh carrot
Step-by-step explanation:
