Which scenario provides the most direct application of the Hypotenuse-Leg congruence criteria?
A.) two isosceles triangles congruent bases and base angles
B.) two equilateral triangles, each of which has 60 angles and 3-inch sides
C.) two 45 degrees -45degrees-90degrees triangles with congruent sides opposite to the right angle
D.) two right angles, each of which has a 4-foot side opposite the right angle and a 3-foot leg
Answers
The Hypotenuse-Leg congruence criteria is (D) two right angles, each of which has a 4-foot side opposite the right angle and a 3-foot leg
Two triangles are said to be congruent if they have the same size and shape. Hence, corresponding sides and angle are congruent to each other.
The Hypotenuse-Leg congruence theorem states that two right triangles are congruent if the hypotenuse and leg of one triangle is equal to the hypotenuse and leg of another triangle.
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Related Questions
Simply (x-4) (x^2 + 3x - 1)
Answers
Answer:
The answer is x³ - x² - 13x + 4.
Step-by-step explanation:
I have this was helpful <3
Answer:
[tex]x^3-x^2-13x+4[/tex]
Step-by-step explanation:
Distribute
[tex](x-4)(x^2+3x-1)[/tex]
[tex]x(x^2+3x-1)-4(x^2+3x-1)[/tex]
Distribute
[tex]x(x^2+3x-1)-4(x^2+3x-1)[/tex]
[tex]x^3+3x^2-x-4(x^2+3x-1)[/tex]
Distribute
[tex]x^3+3x^2-x-4(x^2+3x-1)[/tex]
[tex]x^3+3x^2-x-4x^2-12x+4[/tex]
Combine like term
[tex]x^3+3x^2-x-4^2-12x+4[/tex]
[tex]x^3-1x^2-x-12x+4[/tex]
Combine like term
[tex]x^3-x^2-x-12x+4[/tex]
[tex]x^3-x^2-13x+4[/tex]
Solution
[tex]x^3-x^2-13x+4[/tex]
Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. Thus, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results. Once you have the pro forma model created, please briefly describe your results and how various changes in unit volume, price, and costs can change your valuation results. This analysis includes the 20% increase and decrease in sales volumes.
Barton PC is a small-cap computer company located in Wilson NC. The company operations officer, Nancy Simpson, is also part owner in the company. Nancy started the company in the mid-90’s as a producer of small laptop computers. Over the years, laptop computer usage has slowly declined as consumers have moved to more mobile-centric devices. To capture this growing trend, Barton PC created the Barton-1 smartphone. The phone comes in just one model and has generated excellent sales. As with all modern electronics however, technology changes rapidly and the company is concerned sales will fall as new and existing competitors enter the market.
To ensure continued robust sales, Barton PC has spent $750,000 to develop a new prototype smartphone with new and enhanced features. To more fully understand the expected sales of the phone, a marketing study for $200,000 was also conducted
Nancy estimates the new phone’s variable manufacturing cost will be $205 per unit. Fixed costs for the project are estimated to run $5.1 million per year. The estimated 5-year sales volumes for the new phone are as follows: 64,000, 106,000, 87,000, 78,000 and 54,000 per year. Based on market research, Nancy feels the phone can be sold for $485 per phone. However, Nancy also finds there will be considerable upstart costs to start production. New equipment will be purchased for $34.5 million and will be depreciated on a seven-year MACRS schedule. It is believed the market value of the equipment in 5 years will be fully depreciated.
Net working capital for the phone will be 20% of sales and will occur with timing of the cash flows each year. In this case there are no startup costs for networking capital. Changes in net working capital will thus start when sales occur in year 1. The company has a 35% corporate tax rate and a required return on capital of 12%.
To ensure the phone creates value for the company, Nancy has requested a valuation analysis for the project. Specifically, she would like to see the net present value (NPV) and internal rate of return (IRR) for the phone over the 5-year expected sales. She would also like to see how these metrics change with various unit sales scenarios or 20% less and 20% more in unit volume sales.
Answers
Answer:How is pro forma income statement calculated?
Image result for Show how you derived your pro forma income statement calculations and final pro forma cash flow analysis. This, all of your calculations should cascade to eventually solving for a final solution, which is your net present value (NPV) and Internal Rate of Return (IRR) results.
How to Create A Pro Forma Income Statement
Sales (or Revenue) - Cost of Goods Sold = Gross Income (or Gross Earnings)
Gross Income (or Gross Sales/Earnings) - Operating Expenses = Operating Income.
Operating Income - Depreciation = EBIT.
EBIT - Interest Expense = EBT.
EBT – Taxes = Net Income (Net Earnings, EAT, Profits)
Step-by-step explanation:
Determine the domain and range of the given function.
The domain is
ny
The range is
2.
X
2.
4
2
N
Intro
Done
Answers
here is your answer refer to the attachment
Using function concepts, it is found that:
The domain of the function is all real numbers.The range of the function is all real numbers greater than or equal to -2.The domain of a function is the set that contains all possible input values. In a graph, it is the values assumed by the x-axis.
In this graph, x assumes all values from negative infinity to positive infinity, thus the domain is all real numbers.The range of a function is the set that contains all possible input values. In a graph, it is the values assumed by the y-axis.
In this graph, y assumes values from -2 to positive infinity, thus the range is all real numbers greater than or equal to -2.A similar problem is given at https://brainly.com/question/2145599
What is the value of this expression -3/4+(1/10 divided by 2/5)?
Answers
Step-by-step explanation:
1/10÷2/5=0.25
-3/4=-0.75
-0.75+0.25=-1
PLS HELP DESPERATE *85 POINTS*
Answers
Answer:
The length of the diagonal is 8.3
Step-by-step explanation:
The formula for finding the length of the diagonal in rectangular prism is:
d = √[tex](l^{2} + w^{2} + h^{2})[/tex]
"l" represents the length which is 7
"w" represents the width which is 4
"h" represents the width which is 2
Substitute the values to the formula.
d = √([tex]7^{2} ) + (4^{2} ) + (2^{2} )[/tex]
d = √49 + 16 + 4
d = √65 + 4
d = √69
Find the square root of 69 using calculator.
d = 8.30662386292
The direction said round the answer to the nearest tenth. So the answer must be 8.3
How many times larger is
9 x 104 than 4.5 x 102 ?
Answers
Answer:
477
Step-by-step explanation:
9*104=936
4.5*102=459
936-459=477
Ill give brainliest
find the coefficient of x² of (2-2x+x²)⁵
Answers
Answer:
400.
Step-by-step explanation:
(2-2x+x²)⁵
= x^10 - 10 x^9 + 50 x^8 - 160 x^7 + 360 x^6 - 592 x^5 + 720 x^4 - 640 x^3 + 400 x^2 - 160 x + 32
What is the answer for 14.05 x 7
Answers
Answer:
98.35
there that is the answer
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Answers
Answer:
135%
Step-by-step explanation:
Answer:
35% increase
Step-by-step explanation:
27-20=7
7/20=0.35
Please help quick will give brainly points
Answers
Answer: They are not inverse.
Step-by-step explanation:
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
Please answer completely
Answers
Answer:
58.95
Step-by-step explanation:
I took the quiz using K-12, and this is what I got!
Sorry If I am late to answer!
20 points again please help
Answers
Answer:
60°
G
mweheheh I just think
A sweater normally costs
$50 dollars. If someone
purchases it for $30, what
percent of the total cost
was taken off of the regular
price?
Answers
Answer:
I think 40%
Step-by-step explanation:
Answer:
I think 20%. If we subtract we will get that was taken
From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?
Answers
Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
Rewrite the equation y=|x+3|-1 as two linear functions f and g with restricted domains
Answers
You can write it as:
f(x) = - x - 4
{x | x ≤ -3, x ∈ R}
f(x) = x + 2
{x | x ≥ -3, x ∈ R}
3044 in a base 5 to a base 10
Answers
i have a question here.
Answers
Answer:
3 ways
Step-by-step explanation:
n = 3; r = 2
[tex]nC_{r}=\dfrac{n!}{r!(n-r)!}\\\\3C_{2}=\dfrac{3!}{2!1!}=\dfrac{3*2*1}{2*1}=3[/tex]
Find the surface area S of the following cylinder. Enter the exact answer using π
Answers
let's notice that that cylinder has a height of 16 whilst a radius of 8, thus
[tex]\textit{surface area of a cylinder}\\ SA = 2\pi r(h+r)\qquad \begin{cases} h= \stackrel{height}{16}\\ r = \stackrel{radius}{8} \end{cases}\implies SA = 2\pi (8)(16+8) \\\\\\ SA = 16\pi (24)\implies \boxed{SA = 384\pi }[/tex]
Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer
Answers
Answer:
C = 1/5t +6
slope: 1/5, (C) The additional charge per minute
Step-by-step explanation:
Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...
m = rise/run = 1/5
The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...
C = 1/5t +6
__
As we saw above, the slope of the function is 1/5, which represents ...
the additional charge per minute
5x+3x=16
find X
Thanks
Answers
X=2
Answer:
5 + 3 = 1 6
8 = 1 6
8 = 1 6
8 /8 = 1 6 /8
= 2
Hello help help please help help
Answers
Answer:
[tex]8x + 6 > 38 \\ 8x > 38 - 6 \\ 8x > 32 \\ x > \frac{32}{8} \\ \color{yellow} \boxed{x > 4}[/tex]
answer quick for brainiest
Answers
Answer:
a=120, b=75, c=60, d=105
Write 0.00000711 in scientific notation.
Answers
Answer:
7.11 x 10^-6
Step-by-step explanation:
I NEED THE ANSWER ASAP
Find the solution to the following system by substitution.
2x + y = 20
y = 2x
A. (10,0)
B. (0,20)
C. (5, 10)
D. (10, 20)
Answers
(5, 10)
Step-by-step explanation:
2x + y = 20
y = 2x
2x + 2x = 20
4x = 20
x = 20/4
x = 5
2(5) + y = 20
10 + y = 20
y = 10
Solution: (5, 10)
If the circumference is 24π what is the diameter?
ඞ copy and paste this if u want it <3
Answers
Answer:
144pi
Step-by-step explanation:
i looked it up..
Answer:
12π
Step-by-step explanation:ඞ copy and paste this if u want it <3
solve the following quadratic equation by factorisation method 3 x square - 2 root 6 × + 2 =0
Answers
(root(3)x)^2 -2[root(3)x]root(2)+ (root(2))^2 = 0
let a = root(3)x and b = root(2)
a^2 -2ab + b^2 = 0
(a - b)^2 = 0
by the null factor rule,
a - b = 0
sub back in a and b
root(3)x = root(2)
x = root(3)/root(3)
anyone can u please help me.
Answers
Answer: i cant see the pic i would help but i cant see picture
Step-by-step explanation:
52 square inch is the surface area of the given card box.
What is the Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given a card box of size 8 by 10 inches. the surface area of the card box can be calculated by dividing the card box into three parts, such that:
one piece with a dimension of 4 by 10 and another piece with a dimension of 2 by 3 inches.
Area of card of 4 by 10-inch dimension = 4*10 = 40
Area of card of 2 by 3 dimension = 2 *3 = 6
Thus,
The total area of the card box = Area of bigger card +2*area of smaller card
The total area of the card box = 40 + 2*6 = 52 inches square
Learn more about the Surface area here:
https://brainly.com/question/29298005
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Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)
** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **
Answers
So the easiest way would be to change them into slope intercept form
x + y = 7
y = - x + 7
x - y = 5
y = x - 5
The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.
The number after x is the y-intercept which is where the line intercepts the y-axis.
To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.
A garden has width √6 and length 3√6. What is the perimeter of the garden in simplest radical form?
Answers
Answer:
[tex]8\sqrt{6}[/tex] units
Step-by-step explanation:
Assuming the garden is in a rectangular shape:
The perimeter of a shape is the sum of all the sides, so in the case of a rectangle, this is
P=l+l+w+w=2(l)+2(w)=2(l+w)
where l is the length and w is the width. Here, you are given the length and width, so plug them in.
[tex]P=2(l+w)=2(3\sqrt{6}+\sqrt{6})=2(4\sqrt{6})=8\sqrt{6}[/tex]
Your answer is [tex]8\sqrt{6}[/tex] units.
I hope this was helpful!
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answers
Answer:
2,-1
Step-by-step explanation:
