Answers
The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.
What is parallelogram and its properties?A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.
Properties are:-
Opposite sides if parallelogram are equal.
The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).
The diagonals of a parallelogram bisect each other (they intersect at their midpoint).
The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:
slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)
= (-y + 4) / (3x-9)
The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:
slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)
= (y-4) / (7x-3 - 3y-1)
= (y-4) / (7x-3 - 3y-1)
Setting these two slopes equal to each other, we have:
(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)
Simplifying this equation, we get:
(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)
-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36
Rearranging and simplifying, we get:
3x + 2y = 11 ... (1)
Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:
4x - 3y = 9 ... (2)
We now have two equations with two variables. Solving for x and y, we get:
x = 3
y = 1
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Related Questions
Are these triangles similar? Why?
A. Yes, SSS~ Postulate
B. Yes, SAS~ Postulate
C. Yes, AA~ Postulate
D. No, they are not similar.
Answers
Answer:
Step-by-step explanation:
<Q is common to both triangles.
130 / 40 = 3.25
Call DQ = x
40/130 = x / (x + 72) Cross multiply
40*(x + 72) = 130*x
40x + 2880 = 130x Subtract 40 x from both sides
2880 = 90 x Divide by 90
x = 32
(72 + 32)/32 = 104/32 = 3,25
The ratios are the same.
Therefore the triangles are similar by SAS
pls help will mark branliest
Answers
Answer:
25 divided by 1/4
Step-by-step explanation:
what is 4300x300 if you dont know it just try
Answers
Answer:
1,290,000
Step-by-step explanation:
hecker skills
what is 15.4+5.4 its very hard for me to learn after all home school
Answers
Answer:
15.4+5.4=20.8
Answer: 20.8
Step-by-step explanation: Use Long addition to Evaluate
Have a brilliant day mate - your friend Lily ^_^
How much higher is -200m than 450m
Answers
Answer:
650
Step-by-step explanation:
its ez trust
Answer:
10826
Step-by-step explanation:
hdsjsjdbebevehejejhehd
Your restaurant bill is $28.35. Find the amount of TAX you would pay for your dinner if the tax is 6%. (Round to the nearest cent.)
Answers
Answer:
The tax is $1.70
Step-by-step explanation:
Divide 28.35 by 100 then multiply by six. This is how you reach 6%
7/22 as a decimal rounded to nearest hundreths
Answers
Answer:
0.318= 0.32 hope this helps tell me if I'm wrong
Edit: 0.318. 1 is in the hundredths place so 8 would bump it up to 2 so it would be 0.32
The given fraction in decimal form as 0.32.
The given fraction is 7/22.
How to convert fraction to decimal?The fraction bar separating the “part” and the “whole” represents division. This means that all fractions can be converted into decimals by dividing the numerator by the denominator.
Now, the given fraction can be converted to decimal as follows
7/22 = 0.3181
To the nearest hundredths is 0.3181 ≈ 0.32
Therefore, the given fraction in decimal form as 0.32.
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8th grade math!!
please helppp
Answers
Noticed how it forms a supplementary angle.
A supplmentary angle is basically two angles that added up to 180 degrees.
So we have:
64 + x = 180
Then we solve for "x", so "x" = 116.
Hope that makes sense :)
180-64=116
Hope this helps! Have a good day!
1
HELP
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of
unit.
1
How many
unit cubes does it take to fill the prism?
3
Answers
Answer:
Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.
Step-by-step explanation:
Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.
8.
A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?
A. $2.15; $2.83
B. $0.40; $5.13
C. $0.40; $1.08
D. $1.75; $2.15
Answers
Answer:
A. $2.15; $2.83
Step-by-step explanation:
2.83
c = 0.4. * 2.7 + 1.75
=> c = 2.83
4(2.7)+1.75
1.08+1.75=2.83
$2.83 is correct.
c=0.40(2.7)+1.75
c=1.08+1.75
c=2.83
Answer:
2.83 dollars
Step-by-step explanation:
Fixed charges made by the taxi company for a ride =
Additional charge for each mile travelled =
Hence equation for cost is given by
where m is thenumber of miles travelled.
To find out the charge for a 2.7 mile ride substitute m = 2.7
Total cost for 2.7 mile ride is 2.83 dollars
Answer: A
Step-by-step explanation:
Sam has striped and spotted socks in his draw in
the ratio 3:7. He has 6 striped socks.
How many spotted socks does he have?
Answers
Answer:
14 spotted socks
Step-by-step explanation:
Sam has 3 units of striped socks and 6 of them.
Find one unit.
3 units = 6
1 unit = 6 ÷ 3 = 2
Sam has 7 units of spotted socks.
7 units = 2 x 7 = 14
The sum of 7 and n. giving brainly .
Answers
Answer:
The sum of 7 and n would be 7n
Step-by-step explanation:
I don't know why my question was deleted but with this information it would be 7n
What's the largest 6-digit multiple of 5 that has all different digits? I'll give Brainliest to anyone who helps.
Answers
Answer:
987650Step-by-step explanation:
The largest 6-digit number is:
999999We need all digits different and the last one 0 or 5 because the number is the multiple of 5.
9876 are the first 4 digits and the last two 50 or 45, we'll chose 50 as 45 is smaller.
So the number is:
987650Answer:
987650 hag1 !!!
Find the average rate of change over the interval (-1, 2] (x=-1 and x=2).
Answers
Answer:
The internal rate of change over the interval (-1,2) is 1
Rachel has $18.20 deducted from her paycheck every month for insurance. After 6.25 months, how much money has been deducted from Rachel’s checks?
-$11.38
-$18.20
-$113.75
-$1,137.5
Answers
A parallelogram has a height of 14 in and a base
that is 2 in long. What is the area of this
parallelogram?
HURRY PLEASE
Answers
Answer:
28 in^2
Step-by-step explanation:
Given,
Height of the parallelogram = 14 in
Base of the parallelogram = 2 in
Therefore, area of the parallelogram = base × height
= 2 in × 14 in
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 28 {in}^{2} (ans)[/tex]
write 5/6 as a decimal
Answers
Answer:
0.83333333
Step-by-step explanation:
Is that what you wanted?
look it upppppppp B))
find the finance charge for a $25,000, three year loan with a 9.25% apr. How much interest is paid
Answers
Answer:
$6,937.50
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 25000(.0925)(3)
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answers
Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314
what mistake was made and what you suggestion to give me to avoid the mistake again
marking brain list
next question is worth 100 points don’t use this anymore just need help on these
Answers
Answer:
The mistake made is the line of Best Fit is not drawn through any points on the graph. A way to avoid the mistake is to think "Okay, where are most of the points located?" Then find that area, and draw a line through the points that would connect to form a straight line.
Hope this helps!
rate her 1-10 for a study
Answers
Evaluate the following with each given number.
f(x)=7x−x2+2
Answers
ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION
Answers
Answer:
120
Step-by-step explanation:
you add em all up then you find the answer choice
If
(
m
2
−
1
)
2
−
9
is expressed as
(
m
2
+
2
)
(
n
+
p
)
(
n
−
p
)
, what are the values of
n
and
p
?
Answers
Answer:
you need to repost your question bcos it's not understandable
Given the equation of a line: y = (2/3)x + 1. Select the equation of the line PARALLEL to this line
Answers
Answer:
y = (2/3)x + K, where K is any number except 1
Step-by-step explanation:
In the slope-intercept form of the linear equation, y = mx +b, the 'm' is for the slope, m = 2/3.
Any line that also has a slope of 2/3 will be parallel.
y = (2/3)x - 10 will be parallel
y = (2/3)x + 12 will be parallel
y = (2/3)x - (1/2) will be parallel
y = (2/3)x + 5,391 will be parallel
Maybe this is a multiple choice question?
Because there is not really just one unique answer to the question as you have presented it.
Hope this helps!
Will give Brainliest!!!!
Solve the equation for the specified variable.
w=yh−5yt2, for y
y =
Answers
Answer:
[tex] y = \dfrac{w}{h - 5t^2} [/tex]
Step-by-step explanation:
w = yh − 5yt^2
There is a y in each term on the right side. We factor it out.
w = y(h - 5t^2)
Now we divide both sides by h - 5t^2 to isolate y.
[tex] \dfrac{w}{h - 5t^2} = y [/tex]
[tex] y = \dfrac{w}{h - 5t^2} [/tex]
Express 20 : 35 in its simplest form. (Ratio with working out)
Answers
Answer:
20/35 =4/7 it is the simplest form of 20:35
bu soruyu yapana 15 puan
Answers
Answer:
?????????????
Step-by-step explanation:
The perimeter of the triangular park shown on the right is 11x - 7. What is the missing length?
Answers
Answer:
6x-4
Step-by-step explanation:
the perimeter is the distance around the shape, we get this by adding all the sides, call the missing side y and set up an equation for the perimeter
11x-7 = 4x+2 + x-5 + y
solve for y
11x-7 = 5x -3 + y
11x-4 = 5x + y
6x-4 = y
hii i need a lil confidence boost can u just rate this pic 1-10? 1, for eww ur nasty and 10 for u pwetty :3
Answers
Answer:
100 ;w; yorw pwetty VwV
Step-by-step explanation: