Find the values of x and y that make the quadrilateral a parallelogram.
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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3n + 8 = 53
I don’t understand how to find the n
Answer:
n=15
Step-by-step explanation:
subtract 8 from both sides to get 3n=45
divide both sides by 3 to solve for n to get n=15
Answer:
n = 15
Step-by-step explanation:
3n + 8 = 53
the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting
3n = 45
next step, we are going to isolate the n by dividing by 3 on both sides of the equation
3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer
FH = 48
QH = 2x + 4
a)9
b)10
c)6
d)4
Answer:
b.10
Ddssssssssssssss
Can you help me solve this please
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
Additional comment
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
For every 2 apples in Kali’s orchard, there are 4 pears. In Sam’s orchard, there are 10 pears for every 5 apples. If the number of pears is proportional to the number of apples, what is the constant of proportionality
Answer:
ggycv
Step-by-step explanation:
does anyone know how to do this math problem?
Answer:
1,-2
Step-by-step explanation:
Multiply top equation by 3 and bottom by 2
6p+9q=-12
6p+10q=-14
Do bottom - top
(6p+10q)-(6p+9q)= (-14) - (-12)
q = -2
6p + 9(-2)=-12 = 6p=18
6p=18-12=6
p=1
Write the following expression using a single exponent.
(8⁵)² × 8⁶
Answer:
4096
Step-by-step explanation:
(8)^10 * 8^68^10-68^4 4096 answerdoes anyone know the answer by any chance?
2ND TIME POSTING THIS PLS HELP ME WITH 3, 4, AND 5 BRAINLIEST PLUS YOU WILL GET 100 POINTS
Answ.
10 and the rest i dont know
Step-by-step explanation:
Answer:
3) Function B has a greater rate of change
4) No
5) Non-linear
Step-by-step explanation:
3) rate of change of B is 1/2 and rate of change of A is 1/3; the greater the value, the greater (or steeper) the change is
4) the number 6 is mapped to two different y-values
5) by observation, it is not a straight line but a curved line
which graph represents r=-1+3 sin(0)
Answer:
Was there supposed to be a graph with the question?
Step-by-step explanation:
I might know the question actually, if was a mulitple choice, then the answer is b. limacon with inner loop.
Answer:
answer c on edge, the one with a loop
Step-by-step explanation:
got it right
Plz help me I will give brainliest!
Answer:
0.38m
Step-by-step explanation:
1 1/4 m= 1.25m
1.25-0.87m
=0.38m
Answer:
the snake grows 0.38m
Step-by-step explanation:
To find out how much the snake grows you need to find the differences between the length of the snake after and the length before, this means you do:
the grow = the length of the snake after - the length of the snake before
= [tex]1\frac{1}{4}[/tex] - 0.87
= 1.25 - 0.87
= 0.38m
so the snake grows 0.38m
find three consecutive numbers that add up to 60
Answer:
60/3=20
20/21
Step-by-step explanation:
swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.
Which equation represents the axis of symmetry? 1) x=3
2) y=3
3) x=23
4) y=23
Answer:
2
Step-by-step explanation:
8.
50 in.
Write an expression for the perimeter in simplest radical
form
V8 in.
V8 in.
V18 in.
I a) 2V21 in.
I b) 12v2 in.
I c) 218 + 8V2 in.
d) They aren't like terms
Answer:
Do you want the perimeter of this shape?
if a:3=b:4 then 4a-3b+5=??
Answer:
4a - 3b + 5 = 5
Step-by-step explanation:
Express the ratios in fractional form
[tex]\frac{a}{3}[/tex] = [tex]\frac{b}{4}[/tex] ( cross- multiply )
4a = 3b ( subtract 3b from both sides )
4a - 3b = 0
Then
4a - 3b + 5 = 0 + 5 = 5
I need help on this question :/
Answer: 50-50
Step-by-step explanation:
given trapezoid abcd with midsegment ef.find x. AB=34,CD=22,EF=2x+4
Answer:
i believe the answer is 5 but i hope it helped
Step-by-step explanation:
work out (10 - 3 x 2) ^2
Answer:
Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge
Evaluate the function: f(x)= 3x - 5; f(-1)
Answer:
-8
Step-by-step explanation:
f(x)=3x-5
f(-1)=3(-1)-5=-3-5=-8
What is the solution of the inequality z + 2 < 8?
Answer:
Step-by-step explanation:
if z+2<8
we subtract 2 from both sides
z<6
it is second choice B
B. z < 6 because 6 + 2 = 8 but z + 2 < 8.
Pls help with the first one thank you
Answer:
1) 54 is the answer
2) The shape is cube
4x - 12 = 36 *
pls helppppppppppppppppp
Solve for c.
2(2c + 9) = C
c = [?]
Hint: Use the Distributive Property first, to
simplify the left side of the equation.
Enter
Answer:
c= -6
Step-by-step explanation:
2(2c+9)=c
4c+18=c
4c+18-18=c-18
4c=c-18
4c-c=c-c-18
3c=-18
3c/c=-18/3c
c= -6
What would number 35 and 36 Be?
Answer:
35 c 36 d
Step-by-step explanation:
What is the volume of the rectangle pyramid below 5 m 3 m 3 m
Answer: 3(5)(1/2)(3) = 45/2
Step-by-step explanation:
Answer:
15 cubic meters
Step-by-step explanation:
V = 1/3 · Area of Base x Height
V = 1/3 ·3² · 5
V = 3 · 5
Need help will give you the brainliest
Answer:
8q+2r
since all of the terms are to the first power, you can add them if they have the same term (so there are 5 indivudal q's and 3q so 8q)
Answer:
8q+2r
Step-by-step explanation:
please mark brainliest
Complete the table for the given rule
(2x-3)(2x+7) trinomial
[tex]4[/tex][tex]x^{2}[/tex][tex]+8x-21[/tex]
Step-by-step explanation:
HELP ME PLEASE I NEED HELP
9514 1404 393
Answer:
(b) x = 6; ...
Step-by-step explanation:
The products of the segment lengths for each chord are the same:
FA×FB = FC×FD
FA×3 = 2×9
FA = 18/3 = 6
x = 6
__
AB = FA +FB = 6 + 3 = 9
CD = FC +FD = 2 +9 = 11
__
(x, AB, CD) = (6, 9, 11)
What percent of $44 equals $11
Answer:
Step-by-step explanation:
11/44 = 1/4 = 0.25 = 25%
25% of $44 = $11
