The length of each side of the tablecloth is 13 inches.
Explanation:To find the length of each side of the tablecloth, we need to take the square root of the area. Since the area is given as 169 square inches, we can take the square root of 169. The square root of 169 is 13, so each side of the tablecloth is 13 inches long.
In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°
The measure of angle m∠3 would be 60°.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Given;
g ∥ h, m∠1 = (4x + 36)°,
m∠2 = (3x – 3)°.
m∠2 = m∠3 ( alternate interoir angle)
we know that
m∠1 + m∠2 = 180
4x + 36 + 3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21
Substituting
m∠2 = 3x – 3
m∠2 = 3(21) - 3
m∠2 = 63 - 3
m∠2= 60
Therefore, m∠3 = m∠2 = 60
Hence, The measure of angle m∠3 would be 60°.
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a wallet that holds $25 contains the same number of $1 bills, $5 bills, and quarters. how many of each type of bill or coin does the wallet contain?
The number of each type of bill or coin the wallet contains is:
4
Step-by-step explanation:It is given that:
A wallet holds $ 25 in total.
Also, the number of $ 1 bills,$ 5 bills and qaurters are present in equal number in the wallet.
Let the number of each coin or bill in the wallet be: x
Also, we know that:
1 quarter= 1/4 dollar
i.e.
1 quarter= 0.25 dollar
Hence, we get:
x+5x+0.25x=25
i.e.
6.25 x=25
On dividing both side of the equation by 6.25 we get:
x=25/6.25
i.e.
x=4
Hence, the number of each kind of coin or bill are: 4
What is the quotient (2x3 − 3x2 − 14x + 15) ÷ (x − 3)?
a. 2x2 + 3x − 5
b. 2x2 − 3x + 5
c. 2x2 − 3x − 5
d. 2x2 + 3x + 5
Answer: The correct option is (a) [tex]2x^2+3x-5.[/tex]
Step-by-step explanation: We are given to find the quotient in the following division :
[tex]Q=\dfrac{2x^3-3x^2-14x+15}{x-3}.[/tex]
To find the quotient, first we will try to factorize the numerator and then we will try to divide by the denominator.
We have
[tex]Q\\\\\\=\dfrac{2x^3-3x^2-14x+15}{x-3}\\\\\\=\dfrac{2x(x-3)+3x(x-3)-5(x-3)}{x-3}\\\\\\=\dfrac{(x-3)(2x^2+3x-5)}{(x-3)}\\\\=2x^2+3x-5.[/tex]
Thus, the required coefficient is [tex]2x^2+3x-5.[/tex]
Option (a) is CORRECT.
When multiplying integers, if there is an odd number of negative factors, then the product is?
Answer:
The product of an odd number of negative factors is negative.
Step-by-step explanation:
The factor -1 can be factored from any negative number. Then the product of some number of negative numbers is the product of that number of positive numbers and -1 raised to that power.
An even power of -1 is 1.
An odd power of -1 is -1. So, the product of an odd number of negative factors is negative.
_____
Examples
(-2)(-3)(-4)(5) = (2)(3)(4)(5)(-1)³ = -120 . . . . the product of an odd number of negative factors is negative(-2)(-3)(4)(5) = (2)(3)(4)(5)(-1)² = 120 . . . . . the product of an even number of negative factors is positive_____
Comment on this result
This is helpful to remember when considering the solutions to polynomial inequalities. Once the factored form of the polynomial is found, the solution will depend on the signs of the factors. For example, consider ...
(x +4)(x -2)(x -3) < 0
The zeros of these factors are -4, 2, 3. At each of these values of x, the sign of one of the factors will change. For x<-4, all three factors are negative, so the inequality is true. For -4<x<2, only two of the factors are negative, so the inequality is false. For 2<x<3, one of the factors is negative, so the inequality is again true. For 3<x, all factors are positive, so the inequality is false. Then the solution is (x < -4) ∪ (2 < x < 3).
See the graph for a plot of this polynomial and the solution to the inequality.
How to find the multiplicity of a zero of a polynomial function?
2.8y + 6 +0.2 y =5y -14
A scale model of a human heart is 196 inches long. The scale is 30 to 1. How many inches long is the actual heart? Round your answer to the nearest whole number.
considering the one-time deposit and monthly rent, the equation y=1200+400x can be used to represent y, the total cost of renting an apartment for x months. what is the amount of the deposit?
Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters behind her.The next day they ran another race and andrea agreed to start 5 meters behind the starting line.If the girls run the same speed as the day before who will win the race ? When the winner crosses he finish line where will the other girl be?
On the second day, Andrea will still win by 0.026 seconds and the other girl will be at 99.75 meters on the track.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Andrea and Sula ran a race on a track that was 100 meters long.
Let us assume that Andrea completed the 100m race in 10 secs.
∴ Andrea's speed is (100/10) = 10m/sec.
Also given that Sula was exactly 5 meters behind her.
∴ In 10 secs she completed 95 meters, and her speed is
= (95/10) = 9.5m/sec.
The next day they ran another race and Andrea agreed to start 5 meters behind the starting line and both the girls run at the same speed,
∴ Andrea has to run 105 meters, so she'll complete the race in
(105/10) secs.
= 10.5 secs.
Sula has to run only 100 meters, so the time needed for her to complete is,
= (100/9.5) secs.
= 10.526 seconds.
So, on the next day, Andrea will win again by (10.526 - 10.5) secs
= 0.26 secs.
∴ When the winner crosses the finish line the other girl will be,
(10.5×9.5) meters = 99.75 meters on the track.
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Determine the n-intercept of the graph of the graph of the car value equation v= -1385n + 18,790
Answer:
13.57
Step-by-step explanation:
We have been given an equation [tex]v=-1385n+18,790[/tex], which represents the value of a car. We are asked to find the n-intercept of our given equation.
We know that the n-intercept will be at [tex]v=0[/tex].
[tex]0=-1385n+18,790[/tex]
Subtracting 18,790 from both sides of our equation we will get,
[tex]0-18,790=-1385n+18,790-18,790[/tex]
[tex]-18,790=-1385n[/tex]
Now, we will divide both sides of our equation by [tex]-1385[/tex].
[tex]\frac{-18,790}{-1385}=\frac{-1385n}{-1385}[/tex]
[tex]13.566787=n[/tex]
[tex]n\approx 13.57[/tex]
Therefore, the n-intercept of our given graph is approximately 13.57.
Coldwell elementary has a goal to collect 1,500 box tops in 6 months. the pta brought 458 box tops within two weeks. write and solve an inequality to describe how many box tops need to be collected to meet or exceed their goal.
Solve x2 + 5x + 3 = 0.
The solutions to the quadratic equation x² + 5x + 3 = 0 are:
x = (-5 + √13) / 2
x = (-5 - √13) / 2
How did we get the values?To solve the quadratic equation x² + 5x + 3 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this equation, a = 1, b = 5, and c = 3. Substituting these values into the quadratic formula, we get:
x = (-5 ± √(5² - 4×1×3)) / (2×1)
Simplifying further:
x = (-5 ± √(25 - 12)) / 2
x = (-5 ± √13) / 2
Therefore, the solutions to the quadratic equation x² + 5x + 3 = 0 are:
x = (-5 + √13) / 2
x = (-5 - √13) / 2
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what is the ratio 15:75 in lowest terms? as a ratio
Answer:
1 : 5
Step-by-step explanation:
A staircase handrail is made from congruent parallelograms. in parallelogrampqrs, pq = 17.5, st = 18, and m∠ qrs = 110° . find m∠ pqr.
To find angle PQR in a parallelogram, we can use the Exterior Angle Theorem. By subtracting the measures of the other two angles in triangle QRS from 180 degrees, we find that angle PQR is 70 degrees.
Explanation:To find the measure of angle PQR, we can use the fact that opposite angles in a parallelogram are congruent. This means that angle PQR is equal to angle STQ. Since STQ is an exterior angle of triangle QRS, we can use the Exterior Angle Theorem to find its measure by subtracting the measures of the other two angles in the triangle from 180 degrees.
Given that angle QRS is 110 degrees, we can find angle STQ by subtracting the measures of angles QRS and QSR from 180 degrees:
angle STQ = 180 - (110 + 180) = -110 degrees
However, angles cannot have negative measures, so we need to find the equivalent positive measure. Adding 180 degrees to -110 degrees gives us angle STQ = 70 degrees. Therefore, angle PQR is also equal to 70 degrees.
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Mr.collins wrote a number between 7000 and 8000. there were more hundreds than tens. there were more ones than hundreds. what could mr.collins number be
what is 5p+2q-3p-3q
Which statements are true about the ordered pair (7, 19) and the system of equations?
{2x-y=-5
{x+3y=22
select each correct answer.
A.The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
B.The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
C.The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
D.The ordered pair (7, 19) is a solution to the system because it makes both equations true.
What is the value of x?
a. 71°
b. 142°
c. 152°
d. 76°
Identify which type of correlation the given scatterplot possesses, if a correlation exists.
A.
no correlation
B.
positive correlation
C.
negative correlation
D.
correlation is impossible to determine
Answer:
B. Positive correlation
Step-by-step explanation:
Positive correlation is nothing but when the values of x increase, the corresponding y values are also increase.
When we look at the scatter plot, when x increase, the y also increase.
Therefore, it is a positive correlation.
Hope this will helpful.
Thank you.
Annabelle traded $2250 for euros, immediately changed her mind, and then promptly traded her euros back into dollars. Which of these amounts is she most likely to have?
How would you graph the solution set of x + 4 > -9?
open circle on -13 and shaded to the right
closed circle on -13 and shaded to the right
open circle on -5 and shaded to the right
closed circle on -5 and shaded to the right
Answer:
give the other person brainly
its A
Step-by-step explanation:
Your total bill at a restaurant is $24.89 you were very pleased with your service so you decide to leave a 20% tip what is the amount of the tip you will leave your waiter
The amount of tip I would leave for the waiter is $24.89
A tip is a form of payment that is given to someone who renders a service. The amount of tip that was given is a percentage of the total bill at the restaurant.
The value of the tip can be determined by multiplying the percentage of tip by the total bill at the restaurant
Value of the tip = percentage tip x total bill at the restaurant
20% x $24.89
0.2 x $24.89 = $4.98
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It costs a flat fee of $3.15 to make an international call plus $0.05 for every minute that you talk. if you were charged $5.10 for making an international call, for how many minutes did you talk?
My last question someone help
(Once again I am doing this question because no one answered it last time. thanks)
After taxes, Alexandra's take home pay is 9/10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $486 of take-home pay. let s represent your variable.
Alexandra's salary before taxes for the pay period was $
I need the equation and the answer for the question above this sentence.
Listen I really need help i'm struggling in math okay.
Train a has a speed of 15 miles per hour greater than that of train
b. if train a travels 150 miles in the same time train b travels 120 miles, what are the speeds of the two trains
Is it possible for 0 and a positive number to have a common multiple?
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18.
did anyone do the Algebra 1 interim assessment 2??? and can someone help me with it please!!!
Stephen wants to use the Triangle Proportionality Theorem to determine the relationships on his map. He knows the angle between the park, the bus stop, and his home. Which other angle does he need to know?
Select one:
a. Bus stop, park, and his friend's house
b. Bus stop, park, and his home
c. His friend's house, grocery store, and his home
d. Park, his home, and grocery store
Answer:
C. His friend's house, grocery store, and his home.
Step-by-step explanation:
Triangle Proportionality Theorem-
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
So if the line joining the park, bus stop and friend's house, grocery store will be parallel, Stephen can use triangle proportionality theorem.
When two lines are crossed by another line i.e the transversal, the angles in matching corners are called corresponding angles. And when the corresponding angles are equal then the two lines are parallel.
The corresponding angle of the angle between the park, the bus stop, and his home is the angle between his friend's house, grocery store, and his home.
Therefore, he needs to measure that angle.