types of quadrilaterals and their properties
Answer:
types of quadrilaterals are square, rectangle, parallelogram, rhombus, trapezium, and kite.
Step-by-step explanation:
They have many distinctive properties related to their sides, angles, and diagonals.
A quadrilateral, In general, has sides of different lengths and angles of different measures.
Answer:
Trapezium Properties-One pair of parallel sides.
Rhombus-Properties all sides are equa
Trapezoid Properties-Has one pair of opposite parallel sides
Step-by-step explanation:
I need help 6x-2y=10 x-2y=-5 solve by elimination
[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]
Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]
There as we can get rid of the y-term by adding both equations.
[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
Answer Check by substituting both x and y values in both equations.First Equation
[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Second Equation
[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
Answer[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]
Please please please help me please
Answer:
Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.
These are integer sequences.
The sum of the two previous terms can be represented by:
fn = fn-1 + fn-2.
These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.
Ln = { 2 if n = 0
1 if n = 1
Ln-1 + Ln-2 if n > 1
________________
Fn+1 + Fn-1 = Ln
___________________
f(0) = -1
f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11
________________________________
f(12) = 199
________
f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....
given f(n) = f(n-1) + f(n-2)
____________________
f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =
f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =
f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =
f(10) + f(11) = f(12) →
f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =
7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =
47 + [76] = 76 + [123] = 199
_____________________
Explicit formula
for n is an integer.
Nth term of the lucas sequence.
As you can see, the golden ratio
( 1 + √5 / 2) appears in here.
L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹
i dont know this help me
Please this is due in 52 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answer:
Angle S has a measure of 50°
Step-by-step explanation:
When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)
You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)
Socks cost $5 per pair.
The expression 5p
represents the cost in dollars of p pairs of
socks. Why must o be a whole number?
Answer:
because there is no cents, so its a whole number, and it will help if u put the answer choices
Step-by-step explanation:
Answer:
the whole number is 5 , but I don't understand what the question is ... "if one pair of socks cost 5 dollars, how much would however pairs of socks cost" . is that what the question says ?
Step-by-step explanation:
can 2x-15 be factored
Bailey spent $12.25 at the arcade on Saturday and $9.50 at the arcade on Sunday. How much money did Bailey spend anogether?
Answer:
21.75
Step-by-step explanation:
i added 12.25 by 9.50
Find the ratio of the following
Smita works in office for 6 hours and Kajal works for 8 hours in her office. Find the
ratio of their working hours.
Answer:
6:8 = 3:4
Step-by-step explanation:
Smita = 6
Kajal = 8
Ratio = 6:8
Simplified ratio = 3:4
I hope Im right!!
Answer:
the answer is 3:4 you put 6:8 and you check if you can simplify in this case you can so u simplify them by 2 and the final answer is 3:4
A certain insect can beat its wings 180 times per
Use the following figure to answer the question.
1
2
If _1 and 2 are equal, then lines /and mare parallel.
True
False
Answer:
true
Step-by-step explanation:
because angle 1 and 2 can only be equal if the lines are parallel
What are acute and obtuse angles
Answer:
Acute angles are less than 90 degrees and obtuse angles are great than 90 degree angles.
Answer: an acute a is anything lower than 90 degrees. And obtuse is anything higher than 90 degree.
Step-by-step explanation:
6(840.25)+15(1,374.05)+9(1.222.43)/30
Answer:
26018.979
yea...
Need an answer:
Graph g(x)=5|x-6|+2
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?
Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x [tex]1.025^n[/tex], where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
Which expression is equivalent to 7z + 7z?
Answer:
[tex]14z[/tex]
Step-by-step explanation:
Since these are like-terms, they can be added together.
7z + 7z = 14z
can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow
Answer: Your answer is (C) 6/14
Step-by-step explanation: Have a brilliant day mate - Lily ^-^
if 13 sin ¶=5. [here,¶ means theta]
then the
value of
tan¶=
Step-by-step explanation:
Given
13 sin θ = 5
sin θ = 5/13 = p/h
p = 5 , h = 13 and b = ?
By using Pythagoras theorem
b = √ h² - p²
= √ 13² - 5²
= √144
b = 12
Now
tan θ
= p / b
= 5 / 12
Hope it will help :)
given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions.
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8? show your work.
Answer:
a) 2.66
b) 9
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
part A: what is the standard deviation of the sampling distribution of x hat? show your work.
We have that [tex]\sigma = 8.4, n = 10[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{8.4}{\sqrt{10}} = 2.66[/tex]
PartB: what does the sample size need to be if you want the standard deviation of the sampling distribution of x hat to be 2.8?
This is n when [tex]s = 2.8[/tex]. So
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.8 = \frac{8.4}{\sqrt{n}}[/tex]
[tex]2.8\sqrt{n} = 8.4[/tex]
[tex]\sqrt{n} = \frac{8.4}{2.8}[/tex]
[tex]\sqrt{n} = 3[/tex]
[tex](\sqrt{n})^2 = 3^2[/tex]
[tex]n = 9[/tex]
Eight girls share 7 sandwiches equally. How many sandwiches does each girl get
Answer:
each girl get 1 sand witch and 14 quarters
Step-by-step explanation:
A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning
Answer:
They had 20 of them
Step-by-step explanation:
sorry if its wrong
Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!
Step-by-step explanation:
the answer is in the attachment
The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.
The graph of y= 5(x + 1)²– 3The equation y = 5(x + 1)² - 3 represents a quadratic function.
The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.
The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.
The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.
Learn more about graphs at:
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Which set of numbers are factors of 8? *
1, 4, 5
1, 2, 5
1, 2, 4
Answer: 1,2,4
Step-by-step explanation: hope it helps thx for the points :)
Answer:
should be 1,2,4!
Step-by-step explanation:
these numbers can be multiplied to get 8
ANSWER QUICK PLS ANSWER QUICK PLS
Pls answer all questions
Answer:
this is the closest i can get to the answer
1. 0.33/1 = 0.33
2. how much it costs per ounce
3. it represents the facts that it costs 0.33 per ounce
4. y=0.33x+0.33
sorry if it's wrong
Find the value of x.
A. 35
B. 10
C. 55
D. 25
Answer:
A.35
Step-by-step explanation:
trust bro
Answer:D 25
Step-by-step explanation:
of
5
What is
Domain
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
Step-by-step explanation:
(hope this helps :P)
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=−5 is a straight line perpendicular to the y-axis at point (0,−5), which means that the range is a set of one value {−5}.
y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution
Answer:
(-1,-1) works (5,5) does not
Step-by-step explanation:
y<1/4x+1[tex]\geq[/tex]3x+2
-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2
-1<-1/4+1[tex]\geq[/tex]-3+2
-1<.75[tex]\geq[/tex]-1
Is 1 greater than, less than, or equal to 8/10?
Answer:
Greater than ( > )
Step-by-step explanation:
Answer:
Greater than
Step-by-step explanation
1 is greater than 0.8
A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20.3 m greater-than-or-equal-to 20.3
Answer: 17 miles
Step-by-step explanation:
The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,
1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 mile
If Henri has $14.00, the number of miles he can afford to ride in the taxi is 17 miles.
Option (B) is correct.
What is a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
The equation for this situation is as follows:
The taxi service charges a flat fee of $1.25 and $0.75 per mile.
Hence,
let
x = number of miles
y = 0.75x + 1.25
where
y = $14
14 - 1.25 = 0.75x
12.75 = 0.75x
Therefore,
x = 12.75 / 0.75
x= 17
Therefore, the number of miles he can afford is 17 miles.
Learn more about function here:
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The school district does not have to pay the 8% sales tax on the $2992.50 purchase. Find the amount of sales tax distric saved on the 2992.50 purchase
Answer:
239.4
Step-by-step explanation:
8 x 2992.50/100 = 239.4