The value of the angles in the given diagram are 1 = 107⁰ , 2 = 107⁰, 3 = 73⁰ 4 = 100⁰ , 5 = 80⁰ and 6 = 100⁰
What are Supplementary angles?Supplementary angles are those angles that sum up to 180 degrees.
Note: A straight line forms supplementary angles when another line cuts it into two parts.
See the 1st attached figure.
What are Vertically Opposite angles?Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.
See the 2nd attached figure.
Here, angle 1 and 2 , angle 3 and 73⁰ are Vertically opposite angles so angle 1 = angle 2 and angle 3 = 73⁰
also, angle 4 and angle 6 , angle 5 and 80⁰ are Vertically opposite angles so angle 4 = angle 6 and angle 5 = 80⁰
Here, angle 2 and 73⁰ forms supplementary angle so,
angle 2 + 73⁰ = 180⁰
angle 2 = 107⁰
similarly, angle 6 and 80⁰ forms supplementary angle so,
angle 6 + 80⁰ = 180⁰
angle 6 = 100⁰
now, angle 1 = 107⁰
angle 4 = 100⁰
Hence,
The value of the angles in the given diagram are 1 = 107⁰ , 2 = 107⁰, 3 = 73⁰ 4 = 100⁰ , 5 = 80⁰ and 6 = 100⁰
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what is the Terms and Like Terms of 3-x+x^2-3x
What amount of pure acid must be added to 600 mL of a 50% acid solution to produce a 60% acid solution?
That indicates that in order to make a solution that is 60% acid, you will need to add a total of 300 milliliters of pure acid into the mixture.
This is further explained below.
What amount of pure acid must be added?In general, pure acid refers to an acid concentration of 100%. It is feasible to formulate the following equation if you assume that X represents the volume addition of the pure acid:
\(Va=100 \%X + 600 * 40 \%\)
\(Va= (600+X)60 \% (M_1V_1=M_1 V_2)\)
100X + 24000 = 36000 + 60x
X = 300.
In conclusion, That implies in order to generate a solution that is 60% acid, you will need to add 300 milliliters of pure acid.
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Find the solution to - 17 x ( - 21)
Answer:
Step-by-step explanation:
357x
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression.
Answer:
For the 2 first exponents you multiply for the last 2 you add the powers
Step-by-step explanation:
-2x4=-8=4^-8
2x-1=-2 4^-2
2+6= 4^8
5-3=2 4^2
Math question final part thanks Jim ! :)
Part (e)
See the diagram below that mentions this part.
================================================
Part (f)
See the diagram that mentions this part. It's in a separate image.
The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.
Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.
With any square the angles are always 90 degrees.
Sarah used 3/4 pounds of blueberries to make 2/3 cup of jam. How many pounds of blueberries does Sarah need per cup of jam?
Sarah used 3/4 pounds of blueberries to make 2/3 cup of jam. 2.25 pounds of blueberries Sarah needs per cup of jam.
To find the number of pounds of blueberries Sarah needs per cup of jam, we need to divide the amount of blueberries used by the amount of jam produced.
First, we need to make sure that the units of measurement are the same. We can convert 2/3 cup of jam to pounds using a conversion factor: 1 cup of jam = 0.5 pounds (since 1 cup = 8 ounces, and 1 ounce of jam weighs 0.0625 pounds). Therefore, 2/3 cup of jam is equal to (2/3) x 0.5 = 1/3 pound.
Now we can divide the amount of blueberries used (3/4 pound) by the amount of jam produced (1/3 pound) to get the amount of blueberries per cup of jam:
(3/4 pound) / (1/3 pound) = 2.25 pounds of blueberries per cup of jam.
Therefore, Sarah needs 2.25 pounds of blueberries per cup of jam.
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simplify the following expression 3 2/5 mulitply 3(-7/5)
Answer:
1/3
Step-by-step explanation:
I assume that 2/5 and -7/5 are exponents.
3^(2/5) × 3^(-7/5) = 3^(2/5 + (-7/5)) = 3^(-5/5) = 3^(-1) = 1/3
Answer: 136/5
Step-by-step explanation: First simplify the fraction
1) 3 2/5 = 17/5
3 multiply by 5 and add 5 into it.
2) 3(-7/5) = 8/5
3 multiply by 5 and add _7 in it.
By multiplication of 2 fractions,
17/5 multiply 8/5 = 136/5
=136/5
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may i have some help with 9? thanks :)
#9. C
A negative sign on the outside of the function indicates a reflection in the y-axis.
A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.
Hope this helps!
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomil. 3z−2 2x3+x−12 9b 9x−2
Given that:
The expressions are \(3z−2, 2x^3+x-12, 9b, 9x-2\).
Solution:
Monomial : It contains single terms.
Binomial : It contains two terms.
Trinomial : It contains three terms.
Polynomial : It contains atleast one algebraic term.
Degree of polynomial : It is highest power of the variable.
\(3z-2\) , here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.
\(2x^3+x-12\) , here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.
\(9b\) , here b is a constant. So, it is not a polynomial and it is a monomial.
\(9x-2\) , here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.
Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350. Use this information to answer the following questions. Record yo
The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.
The z score formula is given by;`z = (x - μ) / σ`
Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.
The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`
The value of z is 1.
To find the area in the right tail, use the standard normal distribution table.
The table value for z = 1.0 is 0.8413.
Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.
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Which angles are supplementary to each other?
11
10
912
4
1
15
14
2
16
6
13
8
5
213 and Z11
Z12 and 29
21 and 25
24 and 27
Answer:
3rd choice
Step-by-step explanation:
supplementary angles mean sum of Angles is 180
the angles must be on same line
angles 12 and 9
The goal of building one-to-many relationships between tables is to minimize _____ data. A. misspelled B. rarely used C. numeric D. redundant
The goal of building one-to-many relationships between tables is to minimize redundant data.
Data redundancy is a regular occurrence in many businesses and occurs when an identical piece of data is stored in two or more different locations. As more businesses switch from using segregated data to a central repository, they discover that their database is full of inconsistent duplicates of the same entry. Understanding how to effectively manage and track data redundancy can help your business avoid long-term inconsistency problems, even though it can be difficult to reconcile — or even benefit from — redundant data entries.
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The goal of building one-to-many relationships between tables is to minimize redundant data.
Redundant data refers to data that is duplicated across multiple tables, which can lead to data inconsistencies and
increase the amount of storage space required.
By creating one-to-many relationships between tables, data is only stored once in the database, and each instance of
the data in other tables refer back to the original source, reducing the need for redundant data storage.
Therefore, The goal of building one-to-many relationships between tables is to minimize redundant data.
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PLS HELP ME WILL MARK BRAINLIEST TO BEST ANSWER!
Answer:
The length of the longer base is a. 33 in
Step-by-step explanation:
This is true because if the longer base is 3 more inches than 2 times the amount of the shorter base, all you have to do is 15 x 2 + 3 = 33 in
Hope it helps! =)
Answer: A or 33inches
Step-by-step explanation
First write expressions for the longer base
Longer base: 3 + 2x
Shorter base: x
then solve
If x = 15 then..
3 + 2x
3 + 2(15)
3 + 30
33
THE LONGER BASE IS 33 INCHES
shelly sews a square blanket that has an area of 144 square feet. it has 36 square blocks, each the same size. what is the approximate length of each side of a block? (1 point)
The side of the square of each block = 2 feet
Given,
Shelly sews a square blanket that has an area of 144 square feet.
and, it has 36 square blocks, each the same size.
To find the approximate length of each side of a block
Now, According to the question:
36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks
= 144/ 36
= 4
The area of each square = 4 square feet
We know that
Area of square = side ^2
Side ^2 = 4
side = \(\sqrt{4}\)
Side = 2
Hence, The side of the square of each block = 2 feet
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What is the slope of the line 3х + 5у — 2х + Зу
Answer:
-1/8
Step-by-step explanation:
After 2 years, $50,000 deposited in a savings account with simple interest had earned $15,000 in interest. What was the interest rate?
Answer:
15% simple interest
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
machines at a bottling plant are set to fill bottles to 12 ounces. the quality control officer at the plant periodically tests the machines to be sure that the bottles are filled to an appropriate amount. the null hypothesis of the test is that the mean is at least 12 ounces. the alternative hypothesis is that the mean is less than 12 ounces.
A Type I error would occur if the test statistic is smaller than the critical value, leading to the rejection of the null hypothesis, but the option (a) actual population mean amount of liquid in a bottle is at least 12 ounces.
A Type I error is a mistake made when rejecting the null hypothesis when it is actually true. In other words, it is when we conclude that there is a difference between the sample and the population when there is no such difference.
In this case, a Type I error would occur if the test provides convincing evidence that the mean amount of liquid in a bottle is less than 12 ounces, but the actual mean is at least 12 ounces.
Mathematically, the null hypothesis is denoted as H0 => µ ≥ 12, where µ is the population mean amount of liquid in a bottle. The alternative hypothesis is denoted as H1 => µ < 12.
However, if the test statistic is larger than the critical value, we fail to reject the null hypothesis.
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Complete Question:
Machines at a bottling plant are set to fill bottles to 12 ounces. The quality control officer at the plant periodically tests the machines to be sure that the bottles are filled to an appropriate amount. The null hypothesis of the test is that the mean is at least 12 ounces. The alternative hypothesis is that the mean is less than 12 ounces. Which of the following describes a Type I error that could result from the test?
A. The test does not provide convincing evidence that the mean is less than 12 ounces, but the actual mean is at least 12 ounces.
B. The test does not provide convincing evidence that the mean is less than 12 ounces, but the actual mean is less than 12 ounces.
C. The test does not provide convincing evidence that the mean is less than 12 ounces, but the actual mean is 12 ounces.
D. The test provides convincing evidence that the mean is less than 12 ounces, but the actual mean is at least 12 ounces.
E. The test provides convincing evidence that the mean is less than 12 ounces, but the actual mean is 11 ounces.
(worth 30 points and brainliest) At the movie theatre, child admission is $5.10 and adult admission is $9.30. On Sunday, 137 tickets were sold for a total sales of $1022.10. How many adult tickets were sold that day?
Answer:
78 adult tickets were sold that day
Step-by-step explanation:
Which property of water prevents the blood in your veins from freezing in the cold
The property of water that prevents the blood in your veins from freezing in the cold is its high specific heat capacity.
Water has a high specific heat capacity, which means it can absorb and retain a significant amount of heat without experiencing a large increase in temperature. This property allows water to act as a buffer, helping to regulate and stabilize temperatures in living organisms.
In the case of blood in your veins, the presence of water in the blood helps to maintain its temperature and prevent freezing in cold conditions. As the external temperature decreases, the water in the blood retains heat and transfers it to the surrounding tissues, preventing the blood from reaching freezing temperatures.
This property of water is essential for the proper functioning and survival of organisms in cold environments.
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calculate the surface area and then the volume
Answer:
46
Step-by-step explanation:
length x width x height
7 x 5 x 3
Answer: surface area = 142
Volume = 105
* make sure to add labels (units^2, etc.)
Step-by-step explanation:
Area = length x height
Volume = length x width x height
Last year, there were b pies baked for the bake sale. This year, there were 211 pies baked. Using b, write an expression for the total number of pies baked in the two years.
Answer:
211+b=x
Step-by-step explanation:
Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle is 10 square units, show that x satisfy the equation x2 + 2x - 23 = 0 Solve above equation and find the value of x to the nearest whole number and calculate the perpendicular height of the triangle. (Take V6 = 2.45)
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, in our case we know this is 10 :
(x+3)(x-1)/2 = 10
(x+3)(x-1) = 20
x² - x + 3x - 3 = 20
x² + 2x - 23 = 0
that is exactly the provided equation. so, yes, x satisfies it.
the general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -23
x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =
= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =
= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =
= -1 ± 2×sqrt(6)
x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4
or using sqrt(6) ≈ 2.45
= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4
x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6
or using sqrt(6) ≈ 2.45
= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6
x2 would give us negative lengths for the triangle, which does not make sense.
so, x = 4 is our solution.
and that makes the height x-1 = 4-1 = 3 units.
Find the value of k if the graph of y=kx passes through the given point.
A(4,-80)
K=?
The value of k from the equation is k = -20
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = kx be equation (1)
Let the first point be P ( 4 , -80 )
Substituting the values in the equation , we get
-80 = 4k
Divide by 4 on both sides of the equation , we get
k = - ( 80/4 )
On simplifying the equation , we get
k = -20
Hence , the equation is k = -20
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?/24 A refrigerator is priced at $525.50. There is a 7% sales tax rate. What is the sales tax for the refrigerator in dollars and cents? Round to the nearest penny
Answer: The sales tax is $36.79
Step-by-step explanation:
Multiply the sales tax percent by the money to find how much the sale tax is.
7% * 525.50 = 36.785 which rounds to 36.79 to the nearest penny.
The required amount of sales tax for the refrigerator is $36.785.
As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
The total price of the sales tax = $525.50
Sales tax is 7%,
sales tax= 525.50 × 7%
sales tax = $36.785
Thus, the required amount of sales tax for the refrigerator is $36.785.
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express in simplified exponential notation.
x^3 •x^5=
The simplified exponential notation of the given expression is x⁸.
Given that, simplified exponential notation, x³·x⁵,
x³·x⁵ we need to simplify it,
We know that,
mᵃ × mᵇ = mᵃ⁺ᵇ
x³·x⁵ = x³⁺⁵
x³·x⁵ = x⁸
Hence, the simplified exponential notation of the given expression is x⁸.
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PLEASE HELP...
1.) Solve y = x - 5 if the domain is -3
2.) Solve y = x - 5 if the domain is 5
WHO WANTS A BRAINLIEST !!!!
Answer:
1) y=-8
2) y=0
Step-by-step explanation:
I just plugged it in for the domain (x)
(honestly its been a while since I've done tis so I'm only about 74% sure)
You start with $200 in bank account
and deposit $50 per week. Write an
equation for scenario.
Answer:
y= 50x + 200
Step-by-step explanation:
I just need number 23 and 25 please show work
Answer:
devide 1080 by 5 and 2880 by 5 the it will 216 and 576
Answer: 1080 is an. Octagon, 8 sides
180 is a triangle.
2880 is an 18gon 18 sides
Step-by-step explanation:
Divide the sum of the interior angles by 180 and add 2 to the dividend.
1080/180=>6+2=8
180/180 => 1 +2 =3
2880/180=> 16+2= 18
Someone please help me find x.
find the product (a+5)²
Answer:
x2+10x+25
Step-by-step explanation:
Hope it is helpful.....