Find the value of x for which ABCD must be a parallelogram.
If your answer is not a whole number, write your answer in fractional form as a/b.
Answers
Answer:
[tex]x = \frac{5}{3}[/tex]
Step-by-step explanation:
Parallelogram
It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.
We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:
6x - 4 = 3x + 1
Subtracting 3x:
3x - 4 = 1
Adding 4:
3x = 5
Dividing by 3:
[tex]\mathbf{x = \frac{5}{3}}[/tex]
Related Questions
Neil, an artist, plans to paint and sell some miniature paintings. He just bought some brushes for $100, and paint and canvas for each painting costs $9; he will sell each painting for $10. Once Neil sells a certain number of his paintings, he will be breaking even. How many paintings will that be?
Answers
Answer: 100 paintings
Step-by-step explanation:
To calculate the breakeven point, use the following formula:
= Fixed cost / Contribution margin
The Fixed cost is the one that does not change which is the $100 spent on brushes.
Contribution margin = Sales price - variable cost(cost that he incurs per painting)
= 10 - 9
= $1
Breakeven point = 100/1
= 100 paintings
what is the range of these numbers: 79 72 78 -71 -91 65
Answers
Answer:
170
Step-by-step explanation:
91+79
Answer:
The range would be 170
Step-by-step explanation:
79- -91= 170
Without graphing or solving, determine the number of solutions of the system.
y=8x-2
y-8x=-2
1)one solution
2)infinitely many solutions
3)no solution
Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
2)infinetly many solutions
beacuse y=8x-2 and y-8x=-2 are the same thing without any limitation
Which transformation can map the letter S onto itself?
A: Dilation
B: Translation
C: Reflection
D: Rotation
Answers
Answer:
D. RotationStep-by-step explanation:
It is rotation as "S" has central symmetry
Other options don't work
PLEASE HELP! This is my last attempt! PLEASE ANSWER ALL THREE! PLEASE DOUBLE CHECK YOUR WORK! If I get an 80 or lower am going to fail :(
Answers
Answer:
FOR QUESTION #1 : 90-68= 22 degrees
FOR QUESTION #2: 180-58=122 degrees
FOR QUESTION #3: angle 1 is supplementary to angle 6
Step-by-step explanation:
FOR QUESTION #1 : 90-68= 22 degrees
FOR QUESTION #2: 180-58=122 degrees
FOR QUESTION #3: angle 1 is supplementary to angle 6
complete the table of ordered pairs for the given linear equation
Answers
Answer:
First blank= -1
Second blank= 14
Step-by-step explanation:
Plug in x to the equation. 1/7 x (-7)= -7/7=-1
2=1/7(x) to divide fractions you multiply by the reciprocal
2 x 7/1= 1/7× 7/1
14/1=14
En una papelería sé adquirieron un paquete de 36 plumas este tiene un valor de 97.5 ¿Si el que compró el paquete va a vender cada pluma 75 centavos más cara cada pluma en cuanto La vendera?
Answers
Responder:
3,46
Explicación paso a paso:
Número de lápices comprados = 36
Costo total de los 36 lápices = 97,5
El precio unitario de cada lápiz será:
Costo total / número de lápices
97,5 / 36
= 2.708
El precio de venta por lápiz será:
Precio por lápiz + 75 céntimos
2,708 + 0,75
= 3.458
= 3,46
Por tanto, el precio de venta por lápiz será 3,46.
The equations of three lines are given below. Line 1: y = - 3/4 x + 3 Line 2/8 x - 6y = 2 Line 3/- 3y = 4x + 7 For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Answers
Answer:
No parallel lines
Lines 1 and 3 are perpendicular
Step-by-step explanation:
Given:
[tex]Line\ 1:y = -\frac{3}{4}x + 3[/tex]
[tex]Line\ 2: \frac{2}{8}x -6y = 2[/tex]
[tex]Line\ 3: 3y = 4x + 7[/tex]
Required
Determine if they are parallel, perpendicular or not
The slope intercept of a line has the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
First, we calculate the slope of each lines
[tex]Line\ 1:y = -\frac{3}{4}x + 3[/tex]
Compare the above to [tex]y = mx + b[/tex]
[tex]m_1 = -\frac{3}{4}[/tex]
[tex]Line\ 2: \frac{2}{8}x -6y = 2[/tex]
[tex]\frac{2}{8}x -6y = 2[/tex]
Make -6y the subject
[tex]-6y = 2 - \frac{2}{8}x[/tex]
Divide through by -6
[tex]y = -\frac{2}{6} + \frac{2}{8*6}x[/tex]
[tex]y = -\frac{1}{3} + \frac{1}{8*3}x[/tex]
[tex]y = -\frac{1}{3} + \frac{1}{24}x[/tex]
[tex]y = \frac{1}{24}x-\frac{1}{3}[/tex]
Compare the above to [tex]y = mx + b[/tex]
[tex]m_2 = \frac{1}{24}[/tex]
[tex]Line\ 3: 3y = 4x + 7[/tex]
[tex]3y = 4x + 7[/tex]
Divide through by 3
[tex]y = \frac{4}{3}x + \frac{7}{3}[/tex]
Compare the above to [tex]y = mx + b[/tex]
[tex]m_3 = \frac{4}{3}[/tex]
So, we have:
[tex]m_1 = -\frac{3}{4}[/tex]
[tex]m_2 = \frac{1}{24}[/tex]
[tex]m_3 = \frac{4}{3}[/tex]
None of the slopes are the same, so none of the lines are parallel.
However, lines 1 and 3 are perpendicular.
This is shown below
When the slope of two lines satisfy the following condition, then they are perpendicular.
[tex]m_1 = -\frac{1}{m_3}[/tex]
This gives:
[tex]-\frac{3}{4} = -\frac{1}{4/3}[/tex]
[tex]-\frac{3}{4} = -1/\frac{4}{3}[/tex]
Convert / to *
[tex]-\frac{3}{4} = -1*\frac{3}{4}[/tex]
[tex]-\frac{3}{4} = -\frac{3}{4}[/tex]
Select the correct answer.
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 5)2 = 21
B.
(x − 10)2 = 21
C.
(x − 10)2 = 36
D.
(x − 5)2 = 36
Answers
Answer:
D. [tex]\displaystyle (x - 5)^2 = 36[/tex]
Step-by-step explanation:
All you are doing is converting this Quadratic Equation to a Vertex Equation in Vertex Form by completing the square:
[tex]\displaystyle [\frac{b}{2}]^2 \\ \\ x^2 - 10x - 11 = 0 → x^2 - 10x + 25 - 36 = 0→ (x - 5)^2 - 36 = 0 \\ \\ (x - 5)^2 = 36[/tex]
It is that simple, is it not?
I am joyous to assist you at any time.
2 1/3 plus 1 3/4 plz exlain and answer need to be in fraction form
Answers
Answer:
7/12
Step-by-step explanation:
2 1/3 + 1 3/4
7/3 + 7/4
28-21/12
7/12
:)ur wel
the diagonals bisect the opposite angles in which type of quadrilateral
isosceles trapezoid
parallelogram
rhombus
rectangle
Answers
Answer:
Rhombus I guess
Step-by-step explanation:
Because rhombus have equal interior angles which is 90° so we can bisect or divide equally
please help me w this!
Answers
Answer:
x+ 90° + 30° = 360°
x + 120° = 360°
x = 360° - 120°
x = 240°
How is the equation shifted from its parent graph: y = x2?
y = -(x + 8)2 + 12
Right 8, up 12,
reflected in the x
axis
Right 8, down 12,
reflected in the x
axis
Left 8, up 12
Left 8, up 12,
reflected in the x
axis
Answers
Answer:
87
Step-by-step explanation:
- (3 x 100) + (7 x 10) + (4 x D) + (2 x 100)
Answers
Answer:
70 + 4D
Step-by-step explanation:
- (2 x 100) + (7 x 10) + (4 x D) + (2 x 100)
- (200) + (70) + 4D + 200
-200 + 70 +4D + 200
-130 + 4D + 200
70 + 4D
the right answer will be marked the brainliest
Answers
Answer:
Choice #4
Step-by-step explanation:
DESPERATE WILL GIVE BRAINLIST AND THANKS
Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.
Drag and drop the fractions into the boxes to correctly complete the table.
Terminating Decimal Repeating Decimals
Options: 21/22 60/120 56/72 11/121
Answers
Answer:
21/22 = repeating
60/120 = terminating
56/72 = repeating
11/121 = repeating
Step-by-step explanation:
i just know. fight me.
Answer:
The answer is 21/22
Step-by-step explanation:
Cause 21/22 equals 0.9545454545454545 and so on with the 54 but the rest of them are all able you be simplified in fraction form b is 2, c is 7/9, and d is 11
-3 + (-8)
how can i do this
Answers
Answer: -11
Step-by-step explanation:
+(-8) can be simplified to -8 because when you multiply a positive sign by a negative sign, the outcome is a negative sign. So your problem is -3-8= and the answer is -11 because when two numbers with the same sign are subtracted/added by each other, the numbers just get added and the sign stays the same. If you're still confused, use a number line. Hope this helps!
Susan was thinking of a number that when she multiplies it by two and then
divides that result by 4, then multiplies that result by itself, gives her a number
that when she subtracts 6 and then divides by 10, gives her the number 3. The
number Susan was originally thinking of was
Answers
Answer:
-4
Step-by-step explanation:
Let the number be x
If she multiplies the number by 2, it will become 2x
If divided by 4, it will be 2x/4, if she multiplies the result by itself, we will have:
2x/4(2x/4) = 4x/16
If she subtract the original number from 6 and divide by 10, we will have;
x-6/10
Equating both expressions
4x/16 = x-6/10
Cross multiply
4x(10)= 16(x-6)
40x =16x-96
40x-16x = -96
24x = -96
x = -96/24
x = -4
Hence the number is -4
Find the slope of the line.
-1/2
1/2
-2/1
2/1
Answers
Step-by-step explanation:
If the points are (-1/2, 1/2) and (-2/1, 2/1) then you can enter these into the Slope equation
(y1 - y2) / (x1 - x2)
1/2 - 2/1 = 1/2 - 4/2 = - 3/2 or - 1.5
-1/2 - (-2/1) = - 1/2 + 4/2 = 3/2 or 1.5
So your Slope is -1.5/1.5 = - 1
Simplify the following expression.
5x [13 + 10 = (3 + 2)] + 9x2
Answers
Answer:
x = 1/5 or x=0.2
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable.
Find the slope for these two
Answers
Answer:
1) -1
2) -1/4, 4
Step-by-step explanation:
1)
The first equation is
y = -x + 5
Comparing with
y = mx + b, we see thqat the slope, m, is -1
1) Answer: slope = -1
2)
The equations are
y = -1/4 x + 2 and
y = 4x + 8
Comparing the two equations with y = mx + b, we see that the slopes are
-1/4 and 4
2) Answer: slope = -1/4; slope = 4
Answer:
For the first one, we see that from one point to another it rises one and goes to the left one. This means the slope is 1/-1, which is -1.
For the second one, the slope of the first equation is -1/4, and the slope of the second equation is 4/1, or 4. Since the lines are perpendicular in 2, the two lines will be opposite reciprocals of each other.
To win a particular lottery game, it is necessary to match numbers on 5 balls that are randomly picked from 65 balls numbered 1-65 and the number on a special black ball that is picked from 10 other balls numbered 0-9. What is the probability that a single lottery ticket will match 2 balls and the special black ball.
Answers
Answer: [tex]5.34*10^{-5}[/tex]
Step-by-step explanation:
given data:
number of balls = 65.
special black ball that is picked from 10 other balls = numbered 0-9.
Solution:
probability that a single lottery ticket will match 2 balls and the special black ball.
[tex]= 65C2*9C1\\\\= 18720\\\\=\frac{1}{18720} \\\\= 5.34*10^{-5}[/tex]
3/5 pint of juice is poured equally into 6 glasses. How much juice is in each glass? Answer in a complete sentence.
Answers
Answer:
3/30
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
you divide by 3/5 by 6
What is the smallest integer for which the inequality 120-8x<-16
Answers
Answer:
[tex]x > 17[/tex]
Step-by-step explanation:
[tex]120 -8x < -16\\- 120\\\frac{-8x}{-8} < \frac{-136}{-8}\\x > 17[/tex]
Ivan and Tanya share £150 in the ratio 4:1
How much more does Ivan get than Tanya
Answers
Answer:
Ivan gets £90 more than Tanya
Step-by-step explanation:
Given that
Total amount = £150
Ratio: 4:1
First of all we have to find the sum of ratio: 4+1 = 5
Now,
Ivan's Share:
[tex]= \frac{4}{5} * 150\\= 120[/tex]
Tanya's Share:
[tex]=\frac{1}{5} * 150\\= 30[/tex]
Ivan gets £120 and Tanya gets £30
The difference between their shares is the answer.
So,
[tex]= 120-30 = 90[/tex]
Hence,
Ivan gets £90 more than Tanya
The following table shows the number of alligators in each body of water near Tom's house. Number of alligators 7,0,11,10 find the mean number of alligators.
Answers
7 + 0 + 11 + 10 = 28
28/4 = 7
(To work out the mean, you add up all the values and divide the result by how many values there are)
Solve for v.
-V - 5 = -2v
Answers
Answer:
v=5
Step-by-step explanation:
Answer:
V=5
Step-by-step explanation:
AHH I NEED HELP ASAP
Answers
Answer:
7x-12
Step-by-step explanation:
use PEMDAS
1. parenthesis
2. exponents
3. multiplication
4. division
5. addition
6. subtraction
orginal price $1.29 Sold for $3.00
Answers
Answer:
$1.71 is the difference
Step-by-step explanation:
3.00 - 1.29 = 1.71
Answer:
Suplly and demand buddy boy
Step-by-step explanation:
CAN SOMEONE QUICKLY HELP PLEASEEEE RIGHT NOW?????
Which of the following correctly describes the end behavior of the polynomial
function, f(x) = -3x^4 +2x^2 - x?
O A. The left end goes up and the right end goes down.
B. Both ends go up.
C. The left end goes down and the right end goes up.
D. Both ends go down.
Answers
Answer:
Both ends go down
Step-by-step explanation:
If the degree is EVEN, both ends pint the same way. If it is ODD, they point in opposite directions. The negative sign means the equation is flipped over the x axis and both ends go down.
