The diagonals of quadrilateral ABCD
intersect at E
. If EC=4, BD=12, AE=x,
and BE=y
, what values of x
and y
would prove that the quadrilateral is a parallelogram?
Answers
Answer:
Step-by-step explanation:
16 ae =x
The values of x
and y that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.
Find the diagram attached. In order to prove that the quadrilateral is a parallelogram, we need to find the values of x and y that make the diagram a parallelogram.
From the parallelogram;
AE = EC and BE = EDBD = BE + EDAC = AE + ECGiven the following parameters
EC=4,
BD=12,
Since AE = EC, hence the measure of AE is 4.
Similarly, BD = BE + ED
BD = BE + BE
BD = 2BE
12 = 2BE
BE = 6 = y
Hence the values of x
and y that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.
Learn more about parallelograms here: https://brainly.com/question/12825816
Related Questions
A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?
Answers
Answer:
[tex]\$ \ \dfrac{428}{500}x[/tex]
Step-by-step explanation:
Regular price of a pair of shoes = $[tex]x[/tex]
Discount offered = 20%
Amount of discount offered = 20% of $[tex]x[/tex]
Discounted price = Regular price - Amount of discount
Discounted price = $[tex]x[/tex] - 20% of $[tex]x[/tex] = 80% of $[tex]x[/tex] = [tex]\$ \frac{4}{5}x[/tex]
Now, it is given that there is a sales tax of 7% as well on the price.
Sales tax is applied on the discounted price.
Therefore, sales tax = 7% of [tex]\$ \frac{4}{5}x[/tex]
Final Price after applying the sales tax = [tex]\$ \frac{4}{5}x[/tex] + 7% of [tex]\$ \frac{4}{5}x[/tex]
[tex]\Rightarrow 107\%\ of\ \$\ \ \dfrac{4}{5}x[/tex]
[tex]\Rightarrow \$ \ \dfrac{428}{500}x[/tex]
Therefore, the expression to represent the final price of the pair of shoes:
[tex]\$ \ \dfrac{428}{500}x[/tex]
"The output is 5 less than twice the input
Answers
Answer:
x=2x-5
Im pretty sure that's it
How many 2/3 -cup servings are in 6 cups of cereal?
Answers
Answer:
Nine.
Step-by-step explanation:
5x – 18 > 2(4x – 15).
Answers
Answer:
x<4
Step-by-step explanation:
5x-18>2(4x-15)
5x-18> 8x-30
-18>3x-30
12>3x
4>x
x<4
The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)
Answers
Answer:
The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
Step-by-step explanation:
Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.
–42ft, –20ft, –18ft, –8ft.
From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.
HELP WILL MARK BRAINLIST!!!!!!!!!!! DUE TODAY 10:52 Write 1/8% as a decimal number. Enter your answer in the box.
Answers
Answer:
12.5
Step-by-step explanation:
Answer:
.125
Step-by-step explanation:
divide 1 by 8
or divide 1 by 4 then divide by 2
A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.
Answers
Answer:
Length of the fence required = 135 m
Step-by-step explanation:
Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid
Perimeter of ABCD = AB + BC + CD + AD
Since, AB = BC = EF = ED = 25 m
From the given right triangle BEC,
m∠EBC = m∠ECB = 45°
ΔBEC will be an isosceles triangle.
So, BE = EC
By Pythagoras theorem,
BC² = BE² + EC²
25² = 2(EC)²
EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m
And DC = (DF + EF + EC)
= EC + EF + EC [Since, DF = EC]
= 2EC + EF
= 35.4 + 25
= 60.4 m
Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25
= 135.4 m
≈ 135 m
Therefore, length of the fence required = 132 m
what type of angle is this?
Answers
also please explain
m=?
b=?
equation=?
Answers
Answer:
Decimal form: y = -3x + 1
Exact form: y = -3x + 1
m (slope)= -3
b= 1
where dose (3.5,1.75) go on a coordinate plane?
Answers
Answer: where is the picture
Step-by-step explanation:
If you earn $13/hour and you work 2 hours overtime at a rate of time and a half, how much will you earn for each hour of overtime?
Answers
Answer:
32.50
Step-by-step explanation:
It is simple. You need to know the basics of money, fractions, and well... Math! :)
if you take 13 and multiply it by 2 you get 26
Take the 26 and put it aside -------------> 26
divide 13 in half. that would be 6.50
6.50 + 6.50 = 13
Now get the 26 --------------------------> 26
and add 6.50 to 26.
That would be 32.50!
Please make sure to follow and like! :)
Pl help me I will give Brainly
Answers
Answer:
Both gyms charge the same after 2 months and LA fitness has a greater initial fee.
I need help on this problem!
Answers
Answer:
Blank 1: 1
Blank 2: -19
Blank 3: 4
Blank 4: 96
Step-by-step explanation:
-1+4=3
3/3=1
3(-5)-4=-19
8+4=12
12/3=4
3(100)-4=96
x – 7y = –11
5x + 2y = -18
Answers
Answer:
hope this help you
Step-by-step explanation:
Simplifying
X + -7y = -11
Solving
X + -7y = -11
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '7y' to each side of the equation.
X + -7y + 7y = -11 + 7y
Combine like terms: -7y + 7y = 0
X = -11 + 7y
Simplifying
X = -11 + 7y
------------------------------------------------------------------------------------------------------------
Solving
5x + 2y = -18
Solving for variable 'x'.
Add '-2y' to each side of the equation.
5x + 2y + -2y = -18 + -2y
Combine like terms: 2y + -2y = 0
5x = -18 + -2y
Divide each side by '5'.
x = -3.6 + -0.4y
Simplifying
x = -3.6 + -0.4y
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8
Answers
Answer:
x = -2, x = 6
Step-by-step explanation:
18 = 3|x - 2| + 6
12 = 3|x - 2|
4 = |x - 2|
4 = x - 2 and -4 = x - 2
x = 6 and x = -2
Answer:
C
Step-by-step explanation:
x = -2 x = 6
got it right on EDGE
Help and I’ll give brainliest
Answers
Answer:
They purchased 11 Packets
Step-by-step explanation:
C=11p + 30
help how do yall find this easy i cannot-
Answers
Answer:
153/50 or 3.06
Step-by-step explanation:
Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.
Ex. (3/2)*(4/3)
What is the exponential form of the expanded form below? 10.10.10.10.10. A 5.10 B 5)10 C 10)1. D 10)5
Answers
Answer:
the answer is D
Step-by-step explanation:
Answer: D AKA (10*5)
Step-by-step explanation:
I took the test on edge 2020 and it was correct!! and 10 5 times would make more sense being D which is 10*5 STAY SAFE :)Please help ASAP !!
Please help ASAP !!
Please help ASAP !!
Answers
Answer:
7/50
Step-by-step explanation:
That is the simpliest fraction. Hope dis helps
Please help me out!!
Answers
Answer:
D. 9(3.1416)
Step-by-step explanation:
16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?
Answers
Answer:
you can set up a proportion
16.0/130 = x/2150
by cross multiplying you get
130x = 34400
divide by 130 and get
x-264.62
Hope this helps good luckkkk :)
What should you do during the editing stage of the writing process?
Answers
i need serious help cause i didnt pay attention at all in class
Answers
Answer:-3<y<2
The answer should be D
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answers
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answers
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
Given:
Quadrilateral ABCD is similar to Quadrilateral GHIJ.
Find the value of x.
A. 4.5
B. 8
C. 9
D. 12
E. 18
Answers
Answer:
A. 4.5
Step-by-step explanation:
Given the function
f(x)=-1/2(1-x)^2,
find f(-5).
Answers
Answer:
f(x)= -1/2(1-x)^2
replacing x with -5 since -5 was given as the function
f(-5)=-1/2(1-5)^2
according to bodmas we solve what is in the bracket first
f(-5)=-1/2(-4)^2
f(-5)=-1/2(16)
-1/2*16/1
-16/2=-8
Question 6
Given h(x) = -8(x - 5), what is the value of h(-6)?
Previous
Answers
Answer:
h(-6) = 88
Step-by-step explanation:
h(-6) = -8(-6 - 5)
= -8(-11)
= 88
what is 7x+3(8x-7) I need it in standard form
Answers
Answer:
31x-21
Step-by-step explanation:
Distribute:7x+24x-21
Add like terms:31x-21
Answer:31x-21
the answer is 31x-21
i'm stuck, plsss help ASAPP!!! :))
Answers
Answer:
15 units
Step-by-step explanation:
[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
d = 14.866
d = 15