In parallelogram DEFG DH=x+2 HF=2y GH=3x-3 and HE=5y+1. Find the values of x and y.
Answers
Answer:
y = 10 and x =18
Step-by-step explanation:
From the parallelogram,
DH + HF = DF
x+2 + 2y = DF
Also DH = HF
x+2 = 2y
x - 2y = -2 .... 1
Also GH = HE
3x-3 = 5y+1
3x - 5y = 1 + 3
3x-5y = 4 .... 2
Solve 1 and 2 simultaneously
x - 2y = -2 .... 1 * 3
3x-5y = 4 .... 2 * 1
_____________
3x-6y = -6
3x-5y = 4
Subtract
-6y + 5y = -6-4
-y = -10
y = 10
Substitute y = 10 into 1
x- 2y = -2
x - 2(10) = -2
x - 20 = -2
x = -2+20
x = 18
Hence y = 10 and x =18
Related Questions
Dfhhhftgggghguijhhjjjjjjj
Answers
Answer:
its first one
Step-by-step explanation:
Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.
Answers
500 albums to 100 albums percent of change
Answers
Answer:
20%, since 100 is 20% of 500.
Step-by-step explanation:
wasssssupppppppppppppp
Answers
Answer:
Wasssupppp yallll
Find the Mean and Median for the Set of Data below: 56,79,77,48,90,68,79,92,71
Answers
Answer:
the mean is 73.3 and the median is 77
Step-by-step explanation:
for mean you add up all the values and find the average for median you line them up in number order and find the number in the middle
How do i solve this (Tamgent Segment)
Answers
Answer:
5
Step-by-step explanation:
Since DE is tangent to the circle, that means DE is perpendicular to EF
==> DF = sqrt(4^2+3^2) = 5
Ignore my 1st one!
Find the value of x.
Answers
144+x^2=225
- 144 -144
=81= 9
X=9
Answer:
x=9
Step-by-step explanation:
Use Pythagorean Theorem -> a^2 + b^2 = c^2
a^2 + b^2 = c^2
(12^2) + b^2 = (15^2)
144 + b^2 = 225
225 - 144 = 81
√81 = 9
x = 9
Determine if the following ratios form proportions.
1.) 1 to 3 and 7 to 21
2.) 3 to 4 and 24 to 18
3.)1:5 and 6:30
for brainiest:)
Answers
Answer:
1. Proportional
2. Not proportional
3. Proportional
Step-by-step explanation:
We have three questions with 2 ratios and are asked if they are proportional or not.
To define proportionality, basically its if the two ratios equal the same value when put in a certain way.
And that way is :
[tex]\frac{x}{y} =\frac{x}{y}[/tex]
You will substitute the numbers with the letters, in which you will cross multiply :
[tex]\frac{x * y}{x*y}[/tex]
So subtitute :
1.
[tex]\frac{1}{3} *\frac{7}{21}[/tex]
[tex]\frac{1*21}{7*3}[/tex]
[tex]21=21[/tex]
Therefore 1. is proportional.
2.
[tex]\frac{3}{4} *\frac{24}{18}[/tex]
[tex]\frac{4*24}{3*18}[/tex]
[tex]\frac{96}{54}[/tex]
96 = 54
Therefore 2. is not proportional.
3.
[tex]\frac{1}{5} *\frac{6}{30}[/tex]
[tex]\frac{1*30}{5*6}[/tex]
[tex]\frac{30}{30}[/tex]
30 = 30
Therefore 3. is proportional.
Resuelve
14 - 15 – (-13) + 12 – (-11)
. 20 – 40 – (- 50) + 70 – 100
Answers
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral
Answers
Answer:
Isosceles Triangle
Step-by-step explanation:
Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?
We solve this question using vertices formula:
√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)
For Side AB
A(-5, -1), B(5, -1)
AB = √(5 - (-5))² + (-1 -(-1))²
AB= √(5 + 5)² + (-1 + 1)²
AB = √10² + 0
AB = √100
AB = 10 units
For Side BC
B(5, -1), C(0, -4)
BC = √(0 - 5)² + (-4 -(-1))²
BC = √-5² + (-4 + 1)²
BC = √25 + -3²
BC = √25 + 9
BC = √34
For Side AC
A(-5, -1), C(0, -4).
AC = √(0 - (-5))² + (-4 - (- 1)²
AC = √5² + -3²
AC = √25 + 9
AC = √34
Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another
20.8 = 4( z+1.1)
What is Z ?
Answers
Answer:
z = 4.1
Step-by-step explanation:
(4.1 + 1.1)
(5.2)
4(5.2) = 20.8
a company has 15.5×108
Answers
Answer:
1674
Step-by-step explanation:
Answer:
1674
Step-by-step explanation:
Tania wanted to watch the movie Earwig and the witch. On HBO you have to subscribe for $14.99 to be able to watch it. She has a $5 off coupon. If she uses the cupon what percent of the initial amount will she end up paying?
Answers
Answer:
aprox 33%
Step-by-step explanation:
Q3. Find x and y
12
X
30
60
y
Answers
Answer:
THX FOR POINTS
Step-by-step explanation:
Answer:
x = 4[tex]\sqrt{3}[/tex], y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )
3x = 12[tex]\sqrt{3}[/tex] ( divide both sides by 3 )
x = 4[tex]\sqrt{3}[/tex]
------------------------------------------------------------
Using Pythagoras' identity in the right triangle
y² = x² + 12² = (4[tex]\sqrt{3}[/tex] )² + 144 = 48 + 144 = 192 ( take square root of both sides )
y = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answers
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
The store Matilda works at bought a pair of leggings for $12. They plan on selling them for $20. What percent are the leggings marked up?
Answers
Answer:
67%
Step-by-step explanation:
difference between the numbers = $8
8 ÷ 12 X 100 = 67%
Basil has five numbered cards.
Two of the numbers are hidden. 4 9 9 ? ? 8
The mode of the five numbers is 8.
The mean of the five numbers is 6
c) Work out the two hidden numbers.
Answers
Answer:
The two hidden numbers are 8 and 1.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is given by the sum of all its values divided by the number of values.
Mode of a data-set:
The mode of a data-set is the value that appears the most.
In this question:
4, 9, x, y, 8
Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:
4, 9, 8, y, 8
The mean of the five numbers is 6
This means that:
[tex]\frac{4+9+8+y+8}{5} = 6[/tex]
[tex]29+y = 30[/tex]
[tex]y = 30 - 29[/tex]
[tex]y = 1[/tex]
The two hidden numbers are 8 and 1.
Y= -4+9
A.(3,-3)
B.(2,3)
C.(0,9)
D.(2,1)
E.(4,5)
Answers
Answer:
➪
⚠︎ ☻︎
ℍ ꨄ︎
The answer is E (4,5)
-4 + 9= 5
therefore y must be 5 so it is E.
Find the value of x.
x =
Enter the number that belongs in
the green box.
Answers
Answer:
x=67
Step-by-step explanation:
Sum of all angles is 180
36+77+x=180
113+x=180
x=180-113
x=67
PLZZZ MARK ME AS BRAINLIEST
PLEASE HURRY AND HELP ME NOW ASAP
Answers
Answer:
jdjdjdbxjx byee-
A ==(1,2,3,4)kumesinin elemanlarıyla en az iki basamagindaki rakami ayni olan üç basamaklı kaç sayi yazilabilir
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Answer:
tüm duruma (4×4×4 den 64)
(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar
(4×4×4)-(4×3×2)=403 less than or equal to p/12
Answers
Answer:
p greater than or equal to 36
Find the area of a regular hexagon with a radius 4.
Answers
Answer: 41.5692
Hope I helped :)
Use algebra tiles to find the value of x.
1. 2x = 10
2. 4x = 12
3. 3x = 9
4. 5x = 10
Answers
Answer:
1=5
2=3
3=3
4=2
Step-by-step explanation:
the price of a ring was decreased by 25% to £390. what was the price before the decrease?
Answers
Answer:
The original price was 520
Step-by-step explanation:
To find this, we first need to note that we paid 75% of the price. This is because we took 25% off from the original. Now we take the price we paid and divide it by the percentage of it which we paid. This will give us the original price.
390/75% = Total
390/.75 = Total
520 = Total
What is the solution to this system of equations?
4x + 5y = 7
3x – 2y = –12
what is the solution
Answers
See the image below to see the steps
How to simplify. Year 8 level
Answers
Answer:
hi, want to say that Math. way is a good way to solve those kind of problems try that app some time
the answer is 4
Sara rolls a fair dice 600 times.
How many times would Sara expect to roll a six?
Answers
Answer:
100
Step-by-step explanation:
possibility of getting 6 in one roll = 1/6
Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100
I hope im right!!!
Write the equation of the line that passes through the points (-6,-6) and (-2,-4) help
Answers
Answer:
y=1/2x-3
Step-by-step explanation:
can you answer this because i do not know
Answers
Answer:
3679
Step-by-step explanation:
11,472-7,793=3679 miles left
