A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent. Give kite WXYZ, show that at least one of the diagonals of a kite decomposes the lite into 2 congruent triangles
Answers
Answer:
Step-by-step explanation:
Given: Kite WXYZ
Prove: That at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
A diagonal is a straight line from one vertex to another of a given shape or figure.
Considering diagonal WY of the kite,
<WYZ ≅ <WYX (diagonal WY is the bisector of <Y)
<ZWY ≅ <XWY (diagonal YW is the bisector of <W)
WZ ≅ WX (congruent property)
YZ ≅ YX (congruent property)
Thus,
ΔWYZ ≅ ΔWYX (Angle-side-Angle congruent property)
Therefore, the given kite can be decompose into 2 congruent triangles (ΔWYZ and ΔWYX).
Related Questions
2. The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
Answers
Step-by-step explanation:
A college basketball court is 96 feet by 50 feet. In meters this is approximately 29 meters by 15 meters. While you are correct that the length is 14 meters more than the width, the actual perimeter is 88 meters.
Answer:
Perimeter = 96 = 2 × (L+W)
96=2× (X+X+14)
96=2×(2x+14)
96=4x+28
96-28=4x
68=4x
/4
68/4=x
17=x the width
length = 17+14= 31m
9 Which of the following is the solution to this system of equations below?
2x + y = 4
4x - y = 8
A (0, 2)
B (2, 8)
с (2, 0)
D (8,4)
Answers
On which interval are both the sine and cosine functions increasing? (StartFraction 3 pi Over 2 EndFraction, 2 pi) (StartFraction pi Over 2 EndFraction, pi) (0, pi) (pi, StartFraction 3 pi Over 2 EndFraction
Answers
Answer:
A
Step-by-step explanation:
edge
Sine and Cosine both function will Increase in [tex](3\pi /2 , 2\pi )[/tex]
What is Sine and Cosine function ?Sine, Cosine are the main functions used in Trigonometry and are based on a Right-Angled Triangle.
from 0 to 2π, sin (x) is increasing on the intervals (0, π/2) and (3π/2 , 2π), and decreasing on the interval (π/2 , 3π/2).from 0 to 2π, cos (x) is decreasing on (0 , π) increasing on (π , 2π).So common interval in which both sine and cosine functions are increasing is [tex](3\pi /2 , 2\pi )[/tex]
Learn more about sine and cosine function from here :
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Show the correct steps to simplify this problem.
12-5·2÷6·4-2·2
Why is it necessary to follow the order you explained?
Answers
What is -4+ 7x = y written I. Slope-intercept form,and I have to graph it
Answers
Answer:
y = 7x - 4
Step-by-step explanation:
-4 + 7x = y and y = 7x - 4 are the same thing, there ya go.
210 suite is marked down by 30%.Find the sale price
Answers
Answer:
$147
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-5,5) and -9,-9
Answers
Answer:
y= 3.5x+22.5
Step-by-step explanation:
The standard equation of a line a expressed as y = MX+c
m is the slope
c is the y-intecept
Get the slope
m = y2-y1/x2-x1
m = -9-5/-9+5
m = -14/-4
m = 7/2
Get the y- intercept
Substitute any of the point say (-5,5) and m = 7/2 into the equation y = MX+c
5 = 7/2(-5)+c
5= -35/2+c
5 =-17.5+c
c = 5+17.5
c =22.5
Get the required equation
Recall that y = MX+c
y= 3.5x+22.5
PLEASE ANSWER! WHOEVER ANSWERS WILL BE MARKED AS BRAINLIEST AND GET 100 POINTS!
what are the like terms of -4x+3m-7+8-14r?
Answers
Answer:
ok,i know
Step-by-step explanation:
there is no like terms
Answer:
the like terms are 7 and 8
Step-by-step explanation:
because the -4x,3m and 14r are not like terms
Here are two graphs representing function f and g.
Select all statements that are true about functions f and g.
Answers
Answer:
The correct answer is B, C, D
Step-by-step explanation:
Thanks to Onbadbshedo, who was in the comments giving the correct answer. Props to you.
The statements about functions f and g that are true are f (-3) > g (4)
What is meant by functions?A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. In mathematics, a function is a mathematical expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.A function is a relationship between a set of inputs and one output. Every function has its own domain, codomain, and range.When working on a project, it is common for some tasks to need to be repeated with different input. To ensure that the analyses are performed consistently, it is critical to wrap the code in a named function that is called each time it is required.Therefore,
The two graphs representing functions f and g are shown below. Option D) f (-3) > g (4)
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Hell
Me 9tt grade math please
Answers
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
1
Answers
Answer:
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
Answer:
3839 jdjd
Step-by-step explanation:
=1902m33dud90dx039xx3
On a coordinate plane, a line with negative slope goes through (0, 1) and (1, negative 1).
The graphed line is y = –2x + 1.
Which equation, when graphed with the given equation, will form a system that has no solution?
y = 2x – 3
y + 2x = 1
y = –2x – 3
y –2x = 1
Answers
Answer:
The answer is c (y = -2x - 3)
Step-by-step explanation:
I got it right on the Math assignment!
Answer:
the answer is CCCCCC!!!! ur welcome
Step-by-step explanation:
i’m adding mixed numbers and i was wondering how to do this problem since i accidentally was late to my math class 4 1/2 + 3 4/5?
Answers
Answer:
8 3/10
Step-by-step explanation:
How many solutions does this equation have?
–2 + 6y = 6y − 2
Answers
Answer:
infinetly many
Step-by-step explanation:
-2+6y=6y-2
6y=6y
0=0
infinetly many
Hope this helps plz hit the crown :D
Write the slope-intercept equation for each graph.
Pls help me
Answers
Answer:
y= 1/2x-5
Step-by-step explanation:
idk ;-; lol help meeeee
Answers
Step-by-step explanation:
the answer is $.75
:))))))
2-1/y/3+1/y
What is the answer
Answers
Answer: 1/4
Step-by-step explanation:
(i am assuming that i am reading this right, it's hard to tell)
so first, we calculate it simply.
1/y / 4/y
then, we multiply it by the reciprocal.
1/y x y/4
finally, we reduce the expression.
1/4
graph a line that passes through the points 0,5 and 5,0
Answers
Answer:
the answer is (0,5) if you want to find the slope
3/4 pan of lasagna is shared equally by 6 friends. What fraction of the pan will each friend get?
Answers
(3\4)\6
(3\4(6))
3\24
Barry needs $1,449 for summer camp. Two local clubs will each match what he saves. Barry has 3 months before he leaves for summer camp. How much does Barry need to save on his own each month to have enough for summer camp?
Answers
Answer:
$161 each month
Step-by-step explanation:
We first need to calculate the total that Barry needs to save on his own. Since the two clubs are matching the amount that he saves then we need to divide the final total by 3.
$1,449 / 3 = $483
Barry needs to save a total of $483 in order for the two clubs to match his savings so he can save the $1,449 he needs. Barry has 3 months to save this amount therefore we need to divide this by 3.
$483 / 3 = $161
Finally, we can see that Barry needs to save $161 each month to have enough for summer camp
Select the correct answer from each drop-down menu.
Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week. The mean and standard deviation (SD), of the data he gathered, is shown in the table.
Gym A, Mean = 7. SD = 2.9
Gym b, Mean = 8, SD = 4.2
Gym c, Mean = 6, SD = 3.2
Use the information to complete the following statement.
The members of gym [A, B, or C] show the most consistency in the number of hours they exercised last week because the [mean, standard deviation] of this data set is the [lowest or highest]. inside brackets are the options
Answers
Answer:
A, Standard Deviation, Lowest
Step-by-step explanation:
I got it right lol
The members of gym A show the most consistency in the number of hours they exercised last week because the standard deviation of this data set is the lowest.
What is mean?"The mean is one of the measures of central tendency. Mean is nothing but the average of the given set of values."
What is standard deviation?"The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."
Given, Gym A has the lowest value of SD = 2.9, Gym C has the second lowest vale of SD = 3.2 and Gym B has the highest value of SD = 4.2.
We know, standard deviation is measured with the help of the differences of a group of data and the mean.
Therefore, more the standard deviation is less, the data will be more consistent.
Therefore, Gym A has shown the more consistency in terms of number of hours exercised last week.
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Is 30/50 equivalent to 3:5
Answers
Step by step equation:
PLZ HELP I"M ON A TIMER!!
Which expressions represent exponential growth? Check all that apply. 0.2t 1.2t 2x2 – 17 300(1.2)2y 3000(0.12)y 4y + 3 1.12x + 67
Answers
Answer:
the answer is c and d
Step-by-step explanation:
just took test
Answer: CD
Step-by-step explanation:
your welcome
An investment of \$2,500 doubles in value every 15 years. The function f defined by f(x) = 2, 500(2 ^ (rx)) represents the value of the investment , in dollars, years after the investment is made , where r is a constant. What is the value of r? R =
Answers
Answer:
[tex]\dfrac{1}{15}[/tex]
Step-by-step explanation:
Given that:
Investment amount = $2500
Time in which it gets doubled = 15 years
Amount after 15 years = $5000 (As per given statement as it gets doubled)
Value of investment in dollars after [tex]x[/tex] years if investment:
[tex]f(x) = 2, 500(2 ^ {rx})[/tex]
[tex]r[/tex] is a constant.
To find:
Value of [tex]r[/tex].
Solution:
We are given that:
[tex]f(x) =\$5000[/tex]
[tex]x=15\ years[/tex]
Putting all the values in the given equation:
[tex]5000 = 2500(2 ^ {r\times 15})\\\Rightarrow 2 = 2 ^ {r\times 15}\\\Rightarrow r\times 15=1\\\Rightarrow r =\bold{\dfrac{1}{15}}[/tex]
Therefore, the value of [tex]r[/tex] is:
[tex]\dfrac{1}{15}[/tex]
HELP PLEASE THIS IS DUE IN 7 HOURS AND I HAVE LIKE 20 MORE OF THESE
Answers
Answer:
r=8
Step-by-step explanation:
V=πr^2h
You know volume and height so plug that in.
2211.68=πr^2(11)
and solve for r.....
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
Answers
Answer:
From -3 to 7, can also be written as (-3,7), or -3<y<7
Step-by-step explanation:
What is /-7/ - /3/ ?
Answers
Answer:
4
Step-by-step explanation:
the absolute value of -7 is seven and the absolute value of 3 is 3.
7-3=4
3/4 x 14? PLZZZ HURRY
Answers
Answer:
12.75
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
10.5 is the answer because the first thing you have to do to solve this equation is make the 14 into a fraction ,put the 1 under the 14 like this 14/1
from there you multiply them and that's how you get your answer.
Hope this Helps:)
Pls mark brainlist
(560 + 440) x 14 PLS DUE IN 2 MINUTES
Answers
Answer:
14000
Step-by-step explanation:
The answer is 1400 because 560 plus 440 equals 1000 and 100 multiplied by 14 is 14000
P.S Can I have brainliest?
What is the slope of the line in the graph?
Answers
Answer: 1
Step-by-step explanation:
Slope=rise/run
Here we rise 2 and run 2
2/2=1
Answer:
1
Step-by-step explanation:
The first thing you would want to do is know that the slope is the change in y over the change in x. for this line, it goes up one, over one. so your slope is just one. if you were to write the slope-intercept form equation, it would be y=x+1
