Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answers
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
Learn more about Equation of Line:
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Answers
Answer:
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Step-by-step explanation:
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Math Problem Below.
Match Each Expression from the column on the left to an equivalent expression in the column on the right.
Answers
1. 5a - 8b + 7b + 3a
→ 5a + 3a - 8b + 7b
→ 8a - b ★
2. -5a + 8b - 7b - 3a
→ -5a - 3a + 8b - 7b
→ -8a + b ★
3. 5a + 8b - 7b + 3a
→ 5a + 3a + 8b - 7b
→ 8a + b ★
4. -5a - 8b + 7b - 3a
→ -5a - 3a - 8b + 7b
→ - 8a - b ★
Final answers ;
[tex] \boxed {\sf { 5a - 8b + 7b + 3a = 8a - b } } [/tex]
[tex] \boxed {\sf { -5a + 8b - 7b - 3a = -8a + b } } [/tex]
[tex] \boxed {\sf {5a + 8b - 7b + 3a = 8a + b } } [/tex]
[tex] \boxed {\sf {-5a - 8b + 7b - 3a = - 8a - b} } [/tex]
5a – 8b + 7b + 3a
Solution:-5a – 8b + 7b + 3a
= 5a + 3a – 8b + 7b
= 8a – b ( Answer )
________________________________________________
Question:-–5a + 8b – 7b – 3a
Solution:-–5a + 8b – 7b – 3a
= –5a – 3a + 8b – 7b
= –8a + b ( Answer )
________________________________________________
Question:-5a + 8b – 7b + 3a
Solution:-5a + 8b – 7b + 3a
= 5a + 3a + 8b – 7b
= 8a + b ( Answer )
________________________________________________
Question:-–5a – 8b + 7b – 3a
Solution:-–5a – 8b + 7b – 3a
= –5a – 3a – 8b + 7b
= –8a – b ( Answer )
________________________________________________
[tex] \bf Hope \: it \: helps \: you [/tex] .Shady rivers summer cam has 188 campers this week. If there are 22 campers to each cabin what is the fewest numbers of cabins needed
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√37 units
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Answers
Answer:
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Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
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√(7)² + (10)²
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Use the Daily Compounding chart in your book to answer the following question. Alana Geltner deposited $2,250 in a savings account that pays 5.5 percent interest compounded daily. How much interest did she earn after 130 days?
Answers
Answer:
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Step-by-step explanation:
she earned $2,369,136.10 in interest after 130 days
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Answer:
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Step-by-step explanation:
y = 3x + 7
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AS the expressions on the right are both equal to y:
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Plug this into the first equation:
y = 3(-2) + 7
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Answer:
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Step-by-step explanation:
Just got it correct on ap-x
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Answers
Answer:
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Step-by-step explanation:
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Give me brainllest
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Answers
Answer:
Answer
Step-by-step explanation:
y=-4x+22
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Answer:
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Step-by-step explanation:
If they did, school wouldn't be a thing and I would be living in the Marvel universe lol
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Answer:15,368
Step-by-step explanation:
If f(x) = 5x – 7 and g(x) = VX – 8,
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Enter the correct answer.
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Answers
Answer:
a
Step-by-step explanation:
can someone explain how to do this?
Answers
Answer:
i=d ii=c iii=b iv=a
Step-by-step explanation:
You can find slop by doing rise/run Or the increase in y over increase in x
You read the graph left to right just like a sentence so if the line is going down from left to right the slope is negative :)
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Answers
Answer:
There were 12 problems.
Step-by-step explanation:
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Step-by-step explanation:
63+2x+8+x+7= 180
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Find the measure of angle b
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Answer: 1.12 Ghana Cedis
Step-by-step explanation:
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= Amount spent / kg
= 224/250
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Question: Could the table of x y pairs be generated by a linear function?
Answer: Yes
hope it helps...
have a great day.
Erica has three times as many pieces of candy as Nellie. Together they have 248 pieces of candy. Write and solve and equation to find out howl much candy Nellie has.
Answers
Nellie has 62 pieces of candy,
62x3=186
186+62=248
which of the following correctly gives the center and radius of the circle defined by the equation (z-7)^2 = 10?
Answers
Hi there!
[tex]\large\boxed{\text{Center: (7,2); radius =} \sqrt{10}}}[/tex]
We know that the standard form of the graph of a circle is:
(x - h)² + (y - k)² = r²
Where:
h = x-coordinate of center
k = y-coordinate of center
r = radius
We can identify the following from the given equation:
(x - 7)² ⇒ h = 7
(y - 2)² ⇒ k = 2
r² = 10 ⇒ r = √10
Thus, the correct answer is C.
Answer:
its the third one C
Step-by-step explanation:
just did it
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Answers
Answer:
- [tex]\frac{11\pi }{9}[/tex]
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then
radian measure = - 220 × [tex]\frac{\pi }{180}[/tex] ( divide 220 and 180 by 20 )
= - [tex]\frac{11\pi }{9}[/tex]
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Answers
Answer:
7.5 i belive
Step-by-step explanation:
area= lenghthx width thats the formula 3mm converted is 3 cm 3cmx2.5=7.5
Explain how you went about finding a solution to the problem. We want to go to zoo. 7 adult tickets and 7 kids tickets equal 50 dollars. Adult tickets are twice as expensive as the kid’s ticket. How much do the tickets cost?
Answers
Answer:
Cost of Kid's tickets =16.66
Cost of Adult's ticket =33.34
Step-by-step explanation:
Adult Tickets=7
Kids Tickets=7
Both total = 50$
So 14 tickets =50$
Now: Lets the cost of kid's ticket=x
The Cost of Adult's tickets be 2x
=so (x+2x)=50$
=3x=50$
=x=16.67 for 7tickets
Cost of Kid's tickets =16.66
Cost of Adult's ticket =33.34
Hope It Helps
who ever answer this get a brainliest and a thank you i need it answered asap
Answers
Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
a^2 + (3√3)^2 = (6√3)^2
If we solve the equation we have
a^2 + 27 = 108
a^2 = 81
a = +/-9
we take only the the positive value because a length can’t be negative
a = 9
hi i need to know if i did this correctly, thanks.
Answers
Step-by-step explanation:
Hi,
Store A: y = 9p
Store B: y = 9p + 5
Store C: y = p + 5
Store D: y = p + f
Second Part:
Store A: T = 9n
Store B: T = 9n + 5
Store C: T = n + 5
Store D: T = p + f
I hope this helps :)
