Write an equation to find the value of x in the figure below.
What is the value of x?
Answers
Hence, x has the value 3/2 as intersection of two parallel lines by a transversal in the accompanying image.
what are parallel lines ?No matter how far they are extended, parallel lines remain the same distance apart and never cross. They both run in the same direction and have the same slope. The lines on ruled paper and railway tracks are two examples of parallel lines. In a plane, parallel lines are those that, no matter how far they are extended, never cross. They are always equal distances apart and have the same slope. In geometry, parallel lines are crucial, especially when learning about angles and polygons. Railroad tracks, buildings, and other constructions can all be seen as parallel lines in the actual world.
given
The intersection of two parallel lines by a transversal in the accompanying image gives us the following relationship:
3x + 5 = 7x - 1
When we simplify this equation, we obtain:
5 + 1 = 7x - 3x 6 = 4x
x = 6/4
x = 3/2
Hence, x has the value 3/2 as intersection of two parallel lines by a transversal in the accompanying image.
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Related Questions
4
Which equation will solve the following word problem? Sue's class has 50 students. 20% of the students are in art class. How many students are NOT in art class?
Will give brainliest for correct answer
a)50/(50 * 0.20) = x
b)50 + (50 * 0.20) = x
c)50 - (50/0.20) = x
d)50 - (50 * 0.20) = x
Answers
Answer:
OK thanks
Step-by-step explanation:
The water is shallow but I have a short tour in your head with a bit of
Answer: Letter D
Step-by-step explanation:
What’s is the area of shape B?
Answers
Answer:
28.5 cm²
Step-by-step explanation:
There are 7 whole diamonds and 5 half-diamonds. Each diamond is worth three.
7x3=21
5/2x3=7.5
21+7.5=28.5
Ginny wants to compare the miles per gallon of 2 different cars. The cars mileage can be described as below. Find the miles per gallon (rate of change) for each car and interpret the meaning in terms of the problem. Which car has a better gan mileage?
Car A. | car b |
|No. If gallons used | 4 | 9 | 15 | f(x) =22x |
Total mileage | 76 | 161 | 285
Answers
Answer:
Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.
Step-by-step explanation:
7 5/6 - 1 1/6 - 2 2/3 =
Answers
Answer:
4
Step-by-step explanation:
That's the answe!!
Answer:
4
Step-by-step explanation:
7 5/6 - 1 1/6 - 2 2/3 =
= 7 5/6 - 1 1/6 - 2 4/6
= (7 + 5/6) - (1 + 1/6) - (2 + 4/6)
= 7 + 5/6 - 1 - 1/6 - 2 - 4/6
= (7 - 1 - 2) + (5/6 - 1/6 - 4/6)
= 4 + 0/6
= 4
70000000x70000000000000
Answers
Answer:
4.90000000 times 10 raised to the twenty first number or 4.90000000e+ 21
factor step by step:
x^2+1
Answers
Answer:
(x + i) (x - i)
Step-by-step explanation:
The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.
To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.
We can rewrite x^2 + 1 as:
x^2 + 1 = x^2 - (-1)
Now, we can use the difference of squares formula to factor x^2 - (-1):
x^2 - (-1) = (x + i)(x - i)
Therefore, the factored form of x^2 + 1 is:
(x + i)(x - i)
Direct Materials Variances
CompuWatch Inc. produces wrist-worn tablet computers. The company uses Thin Film Crystal (TFC) LCD displays for its products. Each tablet uses one display. The company produced
650 tablets during December. However, due to LCD defects, the company actually used 700 LCD displays during December. Each display has a standard cost of $6.40. 700 LCD displays
were purchased for December production at a cost of $4,410.
Determine the price variance, quantity variance, and total direct materials cost variance for December. Enter a favorable variance as a negative number using a minus sign and an
unfavorable variance as a positive number. And, enter your final variance amounts to the nearest whole dollar.
Price variance
Quantity variance
Total direct materials cost variance
Answers
The price variance is -$70, the quantity variance is $320, and the total direct materials cost variance is $250.
How to calculate the price variance?
To calculate the price variance, quantity variance, and total direct materials cost variance, we need to know the standard quantity and standard price of the LCD displays.
The standard quantity of LCD displays is 650 (the actual number of tablets produced), and the standard price is $6.40.
The actual quantity of LCD displays used is 700, and the actual price paid is $4,410 / 700 = $6.30.
Using these values, we can calculate the variances:
Price variance
= Actual amount x (Actual price - Standard price)
= ($6.30 - $6.40) x 700
= -$70
The negative value of the price variance indicates that the actual price paid was lower than the standard price.
Quantity variance
= (Actual AMOUNT- Standard quantity) x Standard price
= (700 - 650) x $6.40
= $320
The positive value of the quantity variance indicates that more materials were used than expected.
Total direct materials cost variance
= Price variance + Quantity variance
= -$70 + $320
= $250
Therefore, the price variance is -$70, the quantity variance is $320, and the total direct materials cost variance is $250.
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1) Pedro vai fazer um empréstimo de R$ 70.000,00 para uma reforma em seu estúdio de
fotografia e está analisando qual sistema de amortização vai utilizar, de acordo com as
propostas de uma agência financiadora, que trabalha com uma taxa de 0,85% ao mês. Ela
pretende saldar a dívida em 6 anos. Ela decidiu pelo Sistema Price, qual será o valor de cada
prestação? Qual será o valor amortizado na primeira prestação?
Answers
Answer:bb
Step-by-step explanation:
An equation that models the height of an object dropped from the top of a building is y= -16x^2 + 30 where x is time in sec. Another equation, y= 14, models the path of a flying bird in the air. Write a system of equations, and then solve to find how many seconds the object is in the air before it crosses the birds path
Answers
Answer:
1 second
Step-by-step explanation:
The 2 equations are
y = - 16x² + 30 → (1)
y = 14 → (2)
Substitute y = 14 into (1)
14 = - 16x² + 30 ( subtract 30 from both sides )
- 16 = - 16x² ( divide both sides by - 16 )
1 = x² ( take the square root of both sides )
x = \(\sqrt{1}\) = 1
The object is in the air for 1 sec before it crosses the bird's path
A boat traveled 189 miles downstream and back. The trip downstream took 9 hours. The trip back took 63 hours. Find the speed of the boat in still water and the speed of the current
Answers
The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
To find the speed of the boat in still water and the speed of the current, let's follow these steps:
Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).
Step 2: Use the formula distance = time × speed to write two equations based on the given information.
Downstream: 9(x + y) = 189
Upstream: 63(x - y) = 189
Step 3: Simplify both equations:
Downstream: x + y = 21 (divide both sides by 9)
Upstream: x - y = 3 (divide both sides by 63)
Step 4: Solve the system of equations by adding the two simplified equations:
2x = 24
x = 12
Step 5: Plug the value of x back into either equation to solve for y:
12 + y = 21
y = 9
So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.
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ANSWER THESE 3 PROBLEMS IN FRACTIONS AND DECIMAL!!! WILL GIVE 50 POINTS AND BRAINLIEST!!
1. 2x = 3 Δ Fraction: x=??? Δ Decimal: x=???
2. 5y = 3 Δ Fraction: y=??? Δ Decimal: y=???
3. 0.3z = 0.009 Δ Fraction: z=??? Δ Decimal: z=???
Answers
Answer:
1. .........................................
2x = 3 x = 3/2 Fractionx = 1.5 Decimal2. ..........................................
5y = 3y = 3/5 Fractiony = 0.6 Decimal3. ..........................................
0.3z = 0.009z = 0.009/0.3 = 9/300 = 3/100 Fractionz = 0.09 DecimalSolve for x: 5x + 2 = 4x − 9
Answers
x=-11
Hope this helps!!
Write an equation that represents the line. Use exact numbers.
Answers
Answer:
y = \(\frac{3}{4}\) x - \(\frac{9}{2}\)
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = \(\frac{-3-(-6)}{2-(-2)}\) = \(\frac{-3+6}{2+2}\) = \(\frac{3}{4}\) , then
y = \(\frac{3}{4}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, - 3 )
- 3 = \(\frac{3}{4}\) (2) + c = \(\frac{3}{2}\) + c ( subtract \(\frac{3}{2}\) from both sides )
- 3 - \(\frac{3}{2}\) + c , then
c = - \(\frac{9}{2}\)
y = \(\frac{3}{4}\) x - \(\frac{9}{2}\) ← equation of line
A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t.
Answers
Answer:
The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)
Step-by-step explanation:
Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.
To find - Find the number A(t) of pounds of salt in the tank at time t.
Proof -
Given that,
Capacity of water = 400 gallons
rate in flow = 4 gal/min
rate out flow = 8 gal/min
Concentration in = 3 lbs/gal
Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)
Now,
Let
A(t) = Amount of salt in the tank at time t
Now,
Initially tank has 400 gallons of water, So
A(0) = 0 ................(1)
Now,
Rate of change in the amount of salt = \(\frac{d}{dt} A(t)\)
= (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)
= (4) (3) - (8) (\(\frac{A(t)}{400 - 4t)}\)
= 12 - \(\frac{2A(t)}{100 - t)}\)
⇒\(\frac{d}{dt} A(t)\) + \(\frac{2A(t)}{100 - t)}\) = 12
Now,
Integrating Factor, I.F = \(e^{\int {\frac{2}{100 - t} } \, dt }\)
= \(e^{-2ln(100 - t)}\)
= (100 - t)⁻²
⇒I.F = (100 - t)⁻²
The solution becomes
A (I.F) = ∫ (I.F)(12) dt + C
⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C
⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C
⇒A(t) = \(12(100 - t)+ C(100 - t)^{2}\)
Now,
We have A(0) = 0
⇒C = -12/100
∴ we get
A(t) = 12(100 - t) - \(\frac{12}{100}\) (100 - t)²
= 12(100 - t) [ 1 - \(\frac{100 - t}{100}\) ]
= 12(100 - t) (\(\frac{t}{100}\))
= \(\frac{3t(100 - t)}{25}\)
⇒A(t) = \(\frac{3t(100 - t)}{25}\)
∴ we get
The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)
Use properties of logarithms to write each expression as a single term. Log (x-2) - log x
Answers
The original unsimplified expression is given to be:
\(\log (x-2)-\log x\)We can apply the Quotient Rule, one of the 7 Laws of Logarithms.
The Quotient Rule states that the logarithm of the ratio of two quantities is the logarithm of the numerator minus the logarithm of the denominator. Mathematically, this is written out as:
\(\log _aM-\log _aN=\log _a(\frac{M}{N})\)In our question, the bases of both logarithmic quantities are the same (base 10, since it's unspecified). Therefore, we can have the simplified expression to be:
\(\log (x-2)-\log x=\log (\frac{x-2}{x})\)The answer is:
\(\log (\frac{x-2}{x})\)A toy cannon ball is launched from a cannon on top of a platform. the equation h(t)=-5t^2+15t+10 gives the height h, in meters, of the ball t seconds after it is launched.
A) Does the ball reach a height of 24m
B)Explain your answer
ASAP
Answers
Hello,
This is a parabola.
The vertex is for x= 15/2*5=3/2, and then the maximum is reached for
\(h(3/2)=-5(9/4)+15(3/2)+10=\dfrac{-45+90+40}{4}=\dfrac{85}{4}\)
As 85/4 < 24 the ball does not reach a height of 24 m
thanks
The ball does not reach a height of 24 m.
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
The height of the toy cannon all launched is expressed as
h(t)=-5t²+15t+10
a) As, the given equation forms a parabola, the vertex is
t = 15/2 x 5
t = 3/2
So, it reached the maximum height at 3/2
h(3/2) = -5(9/4)+ 15 (3/2) + 10
h(3/2) = 85/4
So, 85/4 < 24 the ball does not reach a height of 24 m.
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With the equation 3x - 5 = x + 3,
Answers
Answer:
x = 4 :)
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
3x - 5 = x + 3
add 5 to both sides
3x = x + 8
subtract x from both sides
2x = 8
divide both sides by 2
x = 4
Hi, can you help me to solve this exercise please
Answers
ANSWER
RS = 2
EXPLANATION
Using SOH CAH TOA
\(\begin{gathered} \text{ sin }\theta\text{ = }\frac{Opp}{Hyp} \\ sin45^0\text{ = }\frac{RS}{2\sqrt[]{2}} \\ \text{ Recall: sin }45^0\text{ = }\frac{1}{\sqrt[]{2}} \\ \frac{1}{\sqrt[]{2}}\text{ = }\frac{RS}{2\sqrt[]{2}} \\ \text{ Cross multiply} \\ \sqrt[]{2}\text{ RS = 2}\sqrt[]{2} \\ \text{ Divide through by }\sqrt[]{2} \\ \frac{\sqrt[]{2}\text{ RS}}{\sqrt[]{2}}\text{ = }\frac{2\sqrt[]{2}}{\sqrt[]{2}} \\ RS\text{ = 2} \end{gathered}\)Hence, RS is 2
Covert, how many lb. If = 3,200 oz
Answers
Answer:
200 lbs.
Step-by-step explanation:
Divide mass value by 16 to convert oz to lbs.
3,200/16=200
HELP ME PLEASE
PLEASD
Answers
2 squared+ 1 squared=?
Answers
2 squared = 4
1 squared = 1
4+1=5
Therefore 5 is your answer
Answer:
the answer is five(5).
What is formula for area of square
Answers
Answer:
Step-by-step explanation:
The formula Length into Length i.e. LxL
Lets say you have a square with length 4.
Then your area will be 4x4=16
which of the following is a good representation of what a typical worker in a particular group might make?
-salary representation
-income estimation
-median salary
-Income potential
Answers
Which faction is equivalent to 5/20 a4/16 b4/12 c4/19 d4/15
Answers
Answer:
A
Step-by-step explanation:
To find this you have to divide the numerators by denominators to find what number that equals so for a: 5/20 & 4/16 5/20=0.25 4/16=0.25
So the answer is a because the numbers are equivalent! Hope this helps! :)
789342 x 152387 x 69248
Answers
Step by step Explanation:
I used a calculator
Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?
Answers
Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.
To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:
A = \(Pe^(^r^t^)\)
where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.
In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:
640 = \(Pe^(^0^.^0^3^5^*^9^)\)
640 = Pe^0.315
P =\(640/e^0^.^3^1^5\)
P = 432.43
Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.
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I am interested in determining how long students take on average, to finish the first exam in my class. I specifically am interested in looking at students who take the class during the summer semester. I randomly pick 50 students from previous summer semesters and note how long the took on the first exam (TIME), which class they took with me - Stator Stat (CLASS), and whether they took the class online or in person (FORMAT).
Identity the following viables as either quantitative or qualitative
Class
Time
Answers
Answer:
jwruaijoii9auhyahd9i3u
w daF
wf
w
a
s
w sfjweiaeadfawjasawwg
Step-by-step explanation:
Quantitative data is supported by the empirical value in the form of counts or numbers, where each data set is attached with a particular numerical value. Qualitative data describes and can be expressed as the number of the subject.
For the class:
It is qualitative because the qualitative data is used to describes the qualifies or characteristics.In the given scenario the variable class differentiates students based on the information when the book stat I or Stat II.For the Time:
It is quantitative because the quantitative data is used to includes measurable quantity numbers.These numbers are used for the time of the quantitative variable.Learn more:
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the table below shows the account balances for four different customer accounts at the city bank.which account balance represents a debt that is greater than $20 and less than $30?
Answers
Answer: -$24
Step-by-step explanation:
This figure is made up of a rectangle and parallelogram. What is the area of this figure.
Answers
Answer:
area of the parallelogram=6
area of the rectangle=20
total area=26 square units
Can someone help me with this please?
Answers
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.