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The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.
Answer:A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.
Step-by-step explanation:
Whirly Corporation’s contribution format income statement for the most recent month is shown below:
Total Per Unit
Sales (8,700 units) $ 287,100 $ 33.00
Variable expenses 165,300 19.00
Contribution margin 121,800 $ 14.00
Fixed expenses 55,600
Net operating income $ 66,200
Required:
(Consider each case independently):
1. What would be the revised net operating income per month if the sales volume increases by 40 units?
2. What would be the revised net operating income per month if the sales volume decreases by 40 units?
3. What would be the revised net operating income per month if the sales volume is 7,700 units?
Last month when Holiday Creations, Incorporated, sold 37,000 units, total sales were $148,000, total variable expenses were $115,440, and fixed expenses were $35,800.
Required:
1. What is the company’s contribution margin (CM) ratio?
2. What is the estimated change in the company’s net operating income if it can increase sales volume by 500 units and total sales by $2,000? (Do not round intermediate calculations.)
1. Revised Net Operating Income = $66,760
2. Revised Net Operating Income =$64,640
3. Revised Net Operating Income =$52,
1. If the sales volume increases by 40 units:
So, New Sales = 8,700 units + 40 units = 8,740 units
and, New Contribution Margin =
= $14.00 x 8,740 units
= 122, 360
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 122360 - 55600
= 66,760.
2. If the sales volume decreases by 40 units:
New Sales = 8,700 units - 40 units = 8,660 units
New Contribution Margin
= 14 x 8660
= 121,240
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 65,640
3. If the sales volume is 7,700 units:
New Sales = 7,700 units
New Contribution Margin
= 14 x 7700
= 107,800
New Fixed Expenses remain the same at $55,600
Then, Revised Net Operating Income
= New Contribution Margin - New Fixed Expenses
= 52, 200
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Do you help solve word problems in Excel
finding angle measures between intersecting lines.
Answer: x=45°
Step-by-step explanation:
Angles opposite from each other are equal. The angle 160 degrees in red on the bottom encompasses two angles: BEG and CEG. Angle BEG is on the opposite side as FEA which means it is equal to x.
Since angle FED on the other side is 115, you subtract 115 from 160 to get 45 degrees.
Answer: x=45°
The angle BEG, which is opposite to the angle FEA, is determined to be 45 degrees.
According to the information provided, in a figure with an angle of 160 degrees (red angle on the bottom), there are two angles labeled as BEG and CEG. It is stated that the angle BEG is opposite to the angle FEA, making them equal, so we can represent this angle as x.
Additionally, it is mentioned that the angle FED on the other side measures 115 degrees.
To find the value of x, we subtract 115 degrees from the angle of 160 degrees.
=160-115
= 45
Thus, the solution is x = 45°.
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The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90 22 $165 The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
Answer:
c
Step-by-step explanation:
100% on edge
The Martino family uses three-quarters of a pound of rice each day. How many days will it take them to use a fifteen pound bag of rice?
a. 10 days b. 11 ¼ days c. 20 days d. 24 days
PLEASE HELP I SUCK AT THESE
9514 1404 393
Answer:
c. 20 days
Step-by-step explanation:
Divide the total available rice by the rate of its use:
time = quantity/(rate of use)
(15 lb)/(0.75 lb/day) = (15/0.75) days = 20 days
Please help quick!! Given m || n, find the value of x.
In the given angles the required value of x is 17° respectively.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.
Angles created by two rays are in the plane where the rays are located.
The meeting of two planes also creates angles. We refer to these as dihedral angles.
Based on the measurement, there are many kinds of angles in geometry.
The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.
So, we know that:
2x+5 + 8x+5 = Straight angle
2x+5 + 8x+5 = 180
Now, solve for x as follows:
2x+5 + 8x+5 = 180
10x+10 = 180
10x = 170
x = 17
Therefore, in the given angles the required value of x is 17° respectively.
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Solve using the standard algorithm the area model the distributive property or the partial products method 2,809x4
Answer:
11,236
Step-by-step explanation:
i think this might be the answer but if it not alseat I try helping
CAN SOMEBODY HELP ME CAUSE I DO NOT UNDERSTAND
angle 1 is supplementary to angle 2
angle 2is supplementary to angle 3
angle 1 and angle 3 are
9514 1404 393
Answer:
congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent.
__
Here, angles 1 and 3 are both supplementary to angle 2, so ...
angle 1 and angle 3 are congruent
order the numbers from least to greatest please help
Answer:
-2,-7/4, 1/2, square root of 5, 2.4
Step-by-step explanation:
Answer:
-2, -1.75, 1/2, \(\sqrt{5}\), 2.4
Step-by-step explanation:
1/2
-2
√5≈2.24
-1.75
2.4
-2, -1.75, 1/2, \(\sqrt{5}\), 2.4
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
The expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
What is Pascal's Triangle?The triangle-shaped array of integers known as Pascal's triangle has one at the top and one on each of its two sides. Every new number has a value equal to the sum of the two numbers above it and is located between two other numbers and underneath them. Pascal's triangle is a triangular array of binomial coefficients that appears in algebra, combinatorics, and probability theory.In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)ⁿ. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.So, the expression is:
(3x-4y)¹¹Now, use Pascal's Triangle to expand as follows:
(Refer table attached below for expansion)Therefore, the expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
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Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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someone help please
Answer:
16. =
17. <
18. <
Step-by-step explanation:
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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1. Come up with an integer that is BIGGER than 10.
2. Come up with an integer that is SMALLER than 10.
3. Come up with an integer that is BIGGER than 0.
4. Come up with an integer that is SMALLER than 0.
I need help pleaseeee
Answer:
1) any number that is greater than ten is considered an integer bigger than ten: for example, 11, 12, 100, 1000000, etc.
2) any number that is smaller than ten is considered an integer smaller than ten: for example, 9, 8, 7, -100, -100000, etc.
3) any number that is bigger than zero is considered an integer bigger than ten: for example, 1, 2, 10, 100, 100000, etc.
4) any number that is smaller than zero is considered an integer smaller than zero: for example, -1, -2, -3, -10, -100000, etc.
Step-by-step explanation:
An integer is any whole number
Answer:
Step-by-step explanation:
integer bigger than 10 is 11
integer smaller than 10 is 9
integer greater than 0 is 1.
integer smaller than 0 is -1.
Solve for r 1+3r>10 please I need this solved aspap
The solution to the inequality 1 + 3r > 10 is r > 3.
This means that any value of r greater than 3 will satisfy the inequality.
To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.
Let's begin by subtracting 1 from both sides of the inequality:
1 + 3r - 1 > 10 - 1
This simplifies to:
3r > 9
Next, we can divide both sides of the inequality by 3 to solve for r:
(3r)/3 > 9/3
This simplifies to:
r > 3
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Sonia is traveling to Mexico and wants to change her US dollars into pesos.
A) Her friend who just returned from Mexico says that he received 3061 pesos for $150. If the exchange rate is the same when Sonia travels, how many pesos would she receive if she exchanges $500? Round to nearest whole peso.
B) During her trip, Sonia spends 7500 pesos. How many US dollars does she receive when she exchanges her remaining pesos? Round to the nearest penny.
Answer:
A) 10203
B) 132.46
Step-by-step explanation:
1)Using the 3061 pesos for the $150, and x pesos for $500
\(\frac{150}{3061}=\frac{500}{x}\), from there you can cross-multiply to get
150x=1530500, and you divide by 150 to get
x=10203.33, and you round to the nearest whole number to get
x=10203
2)Using the 3060 pesos for the $150, and (10203-7500) pesos for $x.
10203-7500=2703
\(\frac{150}{3061}=\frac{x}{2703}\), from there you cross-multiply to get
3061x=405450, and you divide by 3061 to get
x=132.4567, and you round to the nearest penny(nearest hundredth) to get
x=132.46
I need help again this making so tried so help me pls I beg I want to sleep
Answer:
32229 feetStep-by-step explanation:
The high and low points are
31098 feet- 1131 feetThe difference in elevation is:
31098 - (-1131) = 32229 feetStep-by-step explanation:
Answer:
32229 feet
Step-by-step explanation:
The high and low points are
31098 feet - 1131 feet
The difference in elevation is:
31098 - (-1131) = 32229 feet
Hope it will help you in your need
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0
Answer:
\(x^{2} -2x-4=0\)
Solving Steps
Use the quadratic formula
\(x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}\)
Multiply / Remove the parentheses / Evaluate
\(x=\frac{2(+/-)\sqrt{4+16} }{2}\)
Calculate
\(x=\frac{2(+/-)\sqrt{20} }{2}\)
Separate the solutions
\(x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}\)
Simplify
\(x=1+\sqrt{5} \\x=1-\sqrt{5}\)
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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How long is the wire that supports the tree?
5.6 ft
3.3 ft-
Answer:
6.5
Step-by-step explanation:
ldk I guessed it and its correct.
If you know how to do this tell me how to
Pls make me brainliest
Lenght of the wire that supports the tree is, 6.5 feet
We have to given that,
A tree shown in image.
Here, Base length = 3.3 feet
And, Perpendicular length = 5.6 feet
Let us assume that,
Lenght of the wire that supports the tree = x
Hence, By definition of Pythagoras theorem we get;
x² = 5.6² + 3.3²
x² = 31.36 + 10.89
x² = 42.25
x = √42.25
x = 6.5 feet
Therefore, Lenght of the wire that supports the tree is, 6.5 feet
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A research company wants to determine whether there is a difference in effectiveness of a brand-name ibuprofen and generic ibuprofen. What are the appropriate hypotheses for this testing scenario? Let equal the mean of the effectiveness of brand-name ibuprofen and equal the mean of the effectiveness of generic ibuprofen
The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
What is null hypothesis?A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.
The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:
The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.
Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.
These hypotheses can be expressed symbolically as follows:
H0: _generic = _brand-name\\
Ha: _trademark _generic
Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
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Answer:
H0: μ1 – μ2 = 0
Ha: μ1 – μ2 ≠ 0
Step-by-step explanation:
took the quiz :)
please help please please llaodoeoe
Answer:
(a) 83°
Step-by-step explanation:
You want the measure of angle 5, given that the adjacent angle 6 has a measure of 97° where the lines cross.
Linear pairThe two angles, 5 and 6, are a linear pair, so are supplementary.
∠5 = 180° -∠6
∠5 = 180° -97°
∠5 = 83°
<95141404393>
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
always has an area of 2 square units.
Hint: Find the equation of the tangent line at x = a. (It will contain a’s as well as x and y.) Then find the
x-and y-intercepts for that line to find the lengths of sides of the right triangle.
Answer:
Step-by-step explanation:
given a point \((x_0,y_0)\) the equation of a line with slope m that passes through the given point is
\(y-y_0 = m(x-x_0)\) or equivalently
\( y = mx+(y_0-mx_0)\).
Recall that a line of the form \(y=mx+b \), the y intercept is b and the x intercept is \(\frac{-b}{m}\).
So, in our case, the y intercept is \((y_0-mx_0)\) and the x intercept is \(\frac{mx_0-y_0}{m}\).
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph \((x_0,\frac{1}{x_0})\). Which means that \(y_0=\frac{1}{x_0}\)
The slope of the tangent line is given by the derivative of the function evaluated at \(x_0\). Using the properties of derivatives, we get
\(y' = \frac{-1}{x^2}\). So evaluated at \(x_0\) we get \( m = \frac{-1}{x_0^2}\)
Replacing the values in our previous findings we get that the y intercept is
\((y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}\)
The x intercept is
\( \frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0\)
The triangle in consideration has height \(\frac{2}{x_0}\) and base \(2x_0\). So the area is
\( \frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2\)
So regardless of the point we take on the graph, the area of the triangle is always 2.
if x^x=4^(x+16), find x
The value of x in the equation x^x = 4^(x + 16) is 16
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
x^x = 4^(x + 16)
Take the logarithm of both sides
So, we have
xlog(x) = (x + 16)log(4)
At this point, we make use of a graphing calculator
From the calculator, we have
x = 16
Hence, the solution is x = 16
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Which of the following is a parent function?
O A. 1(x)=2*3^x
OB. 1(x)=x^4 +3
O C. 1(x)=e^x
OD. 1(x)=2x
The answer to this question is choice C
72 red roses, 60 pink roses, and 48 yellow roses. What is the greatest number of bouquets that the florist can make if no roses are left over?
Answer:
12 bouquets
Step-by-step explanation:
Determine what the greatest common factor is in this case...
72/12 = 6 red roses
60/12 = 5 pink roses
48/12 = 4 yellow roses
As you can see the greatest common factor is 12. Therefore the greatest number of bouquets that the florist can make if no roses are left over should be 12 bouquets.