find the marked angle of
Answer:
∠ C = 100°
Step-by-step explanation:
since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.
consider the angle inside the triangle to the left of 140°
this angle and 140° are a linear pair and sum to 180°
angle + 140° = 180° ( subtract 140° from both sides )
angle = 40°
then the angle on the left of the triangle = 40° ( base angles congruent )
the sum of the angles in a triangle = 180° , so
∠ C + 40° + 40° = 180°
∠ C + 80° = 180° ( subtract 80° from both sides )
∠ C = 100°
solve for x then, find m < FDG and m <GOF.
Answer:
choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180°
6x + 18 = 180
6x = 162
x = 27
∠FDG = 2(27) + 8 = 62°
∠GOF = 4(27) + 10 = 118°
What is the slope from the following equation?
y = 24 - 2.3x
There are twelve members of the Mu Alpha Theta math team. Membership is
open to all students, male and female, enrolled in Algebra I or higher math
courses.
Part A: An equation that represents the situation is
Select a Value
Part B: This equation has
Select a Value
because
Select a Value
Part C: An ordered pair that cannot be used to represent this situation is
Select a Value
Answer: Part A -
12= b+g
Part B-
a finite number of solutions
the number of boys or girls must be a natural number
Part C- (7,4, 4,6)
Step-by-step explanation:
A person rides a bike from home to a restaurant, eats a meal, and then rides home.
Which graph could represent this situation?
A.
Step-by-step explanation:
It is A because the person left, which would cause the distance to become greater, then ate a meal which would cause them to stop. Finally, the person went back home, which would cause the distance to decrease.
Answer:
a
Step-by-step explanation:
solve for x round your answer to the nearest tenth
help me PLSSS
Answer:
42×15=x.....................
Step-by-step explanation:
:)
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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suppose CM and DM intersect AB as shown. allison states angleAMC + angleCMD + angleDMB = angleAMB. which justifies allison’s statement?
Answer:
A. Angle Addition Postulate
Step-by-step explanation:
<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.
According to angle addition postulate, the measure of <AMB is the sum of these three angles.
Therefore, angle addition postulate justifies Allison's statement that states:
<AMC + <CMD + <DMB = <AMB.
Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.
Segment addition nor construction of an angle bisector do not also justify his statement.
The right answer is: A. Angle Addition Postulate.
if a square's area is increased by 21 square units, it becomes 100 square units. what was the original area?
The square's area is increased by 21 square units, it becomes 100 square units and the original area of the square was 79 square units.
To solve this problem, we can use algebra. Let x be the original area of the square. We know that when we increase the area by 21 square units, we get 100 square units. So we can set up an equation:
x + 21 = 100
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 21 from both sides:
x + 21 - 21 = 100 - 21
x = 79
Therefore, the original area of the square was 79 square units. To check our answer, we can plug it back into the original equation:
79 + 21 = 100
This is true, so our answer is correct.
In summary, to find the original area of a square when the area is increased by 21 square units and becomes 100 square units, we can use algebra and set up the equation x + 21 = 100, where x is the original area. Solving for x, we get x = 79. Therefore, the original area of the square was 79 square units.
To find the original area of the square, we need to consider the given information: when the square's area is increased by 21 square units, it becomes 100 square units.
Since the area is increased by 21 square units to reach 100 square units, we can calculate the original area by subtracting 21 from 100:
Original Area = 100 - 21
Original Area = 79 square units
So, the original area of the square was 79 square units.
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Instructions = a. Perform a horizontal percent of base year analysis of WestJet's income statement and balance sheet, assuming 2013 is the base year. b. Using the analyses you prepared in part (a), id
The task requires performing a horizontal percent of base year analysis on WestJet's income statement and balance sheet, considering 2013 as the base year. This analysis will help identify the trends and changes in financial figures over the specified period.
To conduct a horizontal percent of base year analysis, we compare the financial figures of subsequent years to the base year and calculate the percentage change. Here's how the analysis can be performed:
a. Income Statement Analysis:
Calculate the percentage change in each line item of the income statement by comparing it to the corresponding figure in the base year (2013).
For example, if the revenue in 2013 is $100 and it increases to $120 in 2014, the percentage change would be [(120 - 100) / 100] * 100 = 20%.
Perform this calculation for each line item in the income statement to determine the percentage change for each year.
b. Balance Sheet Analysis:
Similar to the income statement analysis, calculate the percentage change in each line item of the balance sheet by comparing it to the corresponding figure in the base year (2013).
For example, if the total assets in 2013 are $500 and they increase to $600 in 2014, the percentage change would be [(600 - 500) / 500] * 100 = 20%.
Perform this calculation for each line item in the balance sheet to determine the percentage change for each year.
Using the analyses prepared in part (a), we can identify the trends and changes in WestJet's income statement and balance sheet over the specified period. By comparing the percentage changes, we can determine which line items have shown significant growth or decline compared to the base year. This analysis helps in assessing the company's financial performance, identifying areas of strength or weakness, and making informed decisions based on the observed trends.
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Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.
Using it's formula, it is found that the mean of the data set is of 4.1 shirts.
The mean of a data-set is the sum of all observations divided by the number of observations.In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Hence:
\(M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1\)
The mean of the data set is of 4.1 shirts.
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Alissa needs a new fish tank, her new fish tank must hold 175% of the water her old one holds. The old fish tank holds 20 gallons of water
How many gallons of water should her new fish tank hold?
Alissa's new fish tank should hold 35 gallons of water.
"Gallons" is a unit of measurement for volume, typically used to measure liquids or gases. It is commonly abbreviated as "gal" and is equivalent to 3.785 liters in the metric system.
Alissa's old fish tank holds 20 gallons of water. To find out how many gallons of water her new fish tank should hold, we need to multiply the old tank's capacity by 175% or 1.75 (since 175% = 1.75 as a decimal).
So, the new tank's capacity should be:
20 gallons x 1.75 = 35 gallons
Therefore, Alissa's new fish tank should hold 35 gallons of water.
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To win a trivia game, Nevan must score 90 points.
Each correct answer is worth 1 3/4 points, and each incorrect answer is worth −1/4 points.
If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answer: no he does not win he got 67 points not 90 or more
Step-by-step explanation:
Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie. (2 points)
c(x) = 1.50 + 1.25x
c(x) = 1.50x + 1.25
c(x) = 2.75
c(x) = (1.50 + 1.25)x
Answer:
First option
Step-by-step explanation:
Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie.
Here, we want to create a function that represents the total cost if x = # of nights Michelle has the movie.
We know that she pays a one time flat fee of $1.50 so we start off with
c(x) = ?x + 1.50
We also know that she pays 1.25 for EVERY night she keeps the movie.
So cost of movie after x nights equals 1.25x
So total cost would equal c(x) = 1.25x + 1.50
Guess my favorite movie for brainliest no hints 50 points and brainliest to who gets it but only the first two people to guess are the contestants
Answer:
planet of the apes?
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 80 milligrams of Medication A with 48 milligrams of Medication B. However this week, the doctor said to only use 42 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
This week, 70 milligrams of Medication A should be combined.
If the medications are always mixed in the same proportion, then the ratio of Medication A to Medication B should remain constant.
Let x be the amount of Medication A needed this week.
As per the situation, we can set up a proportion:
80 mg of Medication A / 48 mg of Medication B = x mg of Medication A / 42 mg of Medication B
Simplifying the proportion, we get:
80/48 = x/42
Multiplying both sides by 42, we get:
x = (80/48) 42 = 70 mg
Therefore, 70 milligrams of Medication A should be mixed this week.
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a+ 1 1/6 = 11 7/9
...........................
Answer:
a = 191/81
Step-by-step explanation:
a+ 1 1/6 = 11 7/9
1 1/6 = 7/6
11 7/9 = 106/9
So, our equation is
a + 7/6 = 106/9
Subtract 7/6 from both sides
a = 191/81
So, the answer is
a = 191/81
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
0
9
12
16
Answer:
The graph y = 18x2 + mx + 2= 12
So the answer is 12
The value of m does the graph of y = 18 x² + m x + 2 have exactly one x-intercept is 12.
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
We have Equation.
y = 18 x² + m x + 2
Now, to find exactly one intercept we will use Discriminant Method as
D = m² - 4 x 18 x 2 = 0
m² - 144 = 0
m² = 144
m = -12 or m = 12
Thus, the required value of m is 12.
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Which costs more, oranges selling at 3 for $1.00 or oranges selling 4 for $1.36? Explain how you got your answer.
Answer:
4 oranges for $1.36 is more than 3 for $1.00
Step-by-step explanation:
1/3 = 1/3 or .3 repeating
1.36/4 = 0.34
.3 repeating is less than 0.34
On Monday, Jill used 1\2 quart of paint in 3\4 hour. On Tuesday, Jill was distracted by texting and used 1\2 quart of paint in 5\4 hour. What is the difference in her usage rates in quarts per hour?
answers to choose
1\4
2\3
4\15
16\15
Answer:
from my point of view your answer will be 1/3
x^{2}-8x+15 in vertex from
The vertex form of the expression is y = (x-4)²-1
What is vertex form?
In this little tutorial, we'll look at how to change a standard form into a vertex form and vice versa. A parabola's equation can be shown in various ways, including standard form, vertex form, and intercept form. Any of these forms can be changed into either of the other two depending on the situation. We will discover how to convert in this article.
The vertex form is y = (x-h)² + k
The only term with x with 2hx from the vertex form and 8x in order to form a standard form.
The given expression is x²-8x+15,
So 2hx = -8x
h = 4
Substituting in the original expression we will have
y = (x-4)²-1
Hence this is in vertex form.
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Myra buys an old cell phone from her friend for $60 and signs up for a phone plan that costs $20
per month. Which graph represents Myra's total expenses, y, for the phone and x months on the
phone plan?
When x = 3, y = 60 + 20(3) = 120. So, we can plot the point (3, 120).
What is equation?An equation is a mathematical statement that uses symbols, numbers, and operations to show that two expressions are equal. It usually contains one or more variables, which represent unknown values that need to be solved for. Equations are used in a wide range of mathematical fields, such as algebra, geometry, calculus, and physics, to model real-world situations and solve problems. Some common examples of equations include:
Linear equation: y = mx + b
he total expenses for Myra's phone plan include the initial cost of buying the phone plus the monthly cost of the phone plan. Therefore, the total cost can be represented by the equation:
y = 60 + 20x
where y is the total cost and x is the number of months on the phone plan.
To graph this equation, we can plot a point at (0, 60) to represent the initial cost of buying the phone. Then, we can plot additional points by plugging in different values of x into the equation and finding the corresponding values of y. For example:
When x = 1, y = 60 + 20(1) = 80. So, we can plot the point (1, 80).
When x = 2, y = 60 + 20(2) = 100. So, we can plot the point (2, 100).
When x = 3, y = 60 + 20(3) = 120. So, we can plot the point (3, 120).
Connecting these points gives us a straight line, since the equation is linear.
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A line that includes the point (2, 8) has a slope of 8. What is its equation in slope-intercept
form?
Answer:
y = 8x - 8
Step-by-step explanation:
y-8 = 8(x-2)
y-8 = 8x - 16
y = 8x - 16 + 8
y = 8x - 8
Answer:
y=8x-8
Step-by-step explanation:
slope intercept form is y=mx+b
Where m is slope and b is y intercept
We can fill in for m
y=8x+b
Now we can fill the coordinates we know to find b
8=8(2)+b
8=16+b
-16 -16
-8=b
Now we know b
y=8x-8
Hopes this helps please mark brainliest
Is it necessary to
ename 4 to subtract ? Explain.
Yes, It is necessary to rename 4(1/4) to 3(2/4) when 3/4 is subtracted with 4(1/4).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4(1/4) - 3/4
= 17/4 - 3/4
= (17 - 3) / 4
= 14 / 4
= 3(2/4) or 3(1/2)
Thus,
We can rename 4(1/4) to 3(2/4).
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The complete question:
Explain Why It Is Necessary To Rename 4 1/4 If You Subtract 3/4 From It?
Approximate 0.007349 to 3 significant figure
Answer:
0.007349 to 3 significant figure=0.00735
Step-by-step explanation:
Approximate 0.007349 to 3 significant figure
Significant figure start from 1 to 9 with the exclusion of 0
From the question above, there are two zeros after the decimal point, so it will be ignored because it is not a significant figure.
0.007349
The first significant number is 7 after 0
The second significant number is 3
The next
The third significant number is 4
The fourth significant number is 9
We want to approximate to three significant figure, so, all figure after 4(third significant figure) will be rounded up or down.
If the numbers are below 5(0, 1,2,3,4) they will be rounded down to 0
If the numbers are above 4(5,6,7,8,9), they will be rounded up to 1
So the number after 4 is 9, therefore it will be rounded up to make 4=5
0.007349 to 3 significant figure=0.00735
PLEASE HELP AD EXPLAIN WELL!
Answer:
y intercept is (0, -4)
equation is y = x - 4
Step-by-step explanation:
The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)
The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.
The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.
So the slope is 4/4 = 1.
The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.
The equation is slope times x plus y intercept value.
So putting this all together gives you an equation of
y = 1·x + -4
a.k.a.
y = x-4
Simplify the following expression. 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4
Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p.
Here, we have,
Given, the expression 6(4 - 2p) + 9p
On simplifying, we get
24 - 12p + 9p
24 - 3p
So, on simplifying the given expression, we get
24 - 3p
Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p
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Line a is perpendicular to line bLine a passes through the points (1,-3) and (9,-5)Line b passes through the point (-8,32)The equation of line b is y=___
y=4x+64
Explanation:
Two lines are perpendicular if the product of their slopes is -1.
Step 1: Find the slope of the line a
Line a passes through the points (1,-3) and (9,-5)
\(\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{-5-(-3)}{9-1} \\ =\frac{-5+3}{8} \\ =-\frac{2}{8} \\ =-\frac{1}{4} \end{gathered}\)The slope of line a = -1/4
Step 2: Determine the slope of line b.
Let the slope of line b = k
Since the product of the two slopes is -1:
\(\begin{gathered} k\times-\frac{1}{4}=-1 \\ k=-1\times-4 \\ k=4 \end{gathered}\)The slope of line b = 4
Step 3: Find the equation of line b.
Line b passes through the point (x1,y1)=(-8,32) and has a slope, m = 4.
Using the slope-point form of the equation of a line:
\(y-y_1=m(x-x_1)\)Substitute the given values
\(\begin{gathered} y-32=4\mleft(x-\mleft(-8\mright)\mright) \\ y-32=4\mleft(x+8\mright) \\ y-32=4x+32 \\ y=4x+32+32 \\ y=4x+64 \end{gathered}\)The equation of line b is y=4x+64.
Which of the following is the volume of the largest cone that can fit inside of a cube whose volume is 8 cubic inches?
(1) 2/3Ï€ in 3 (2) 8/3Ï€ in 3
(3) 7 π in 3 (4) 12 π
Step-by-step explanation:
The cube is 2 x 2 x 2 inches
so the cone has a height of 2 inches and a radius of 1 inch
volume of cone = 1/3 pi r^2 h
= 1/3 pi (1^2)(2) = 2/3 pi in^3 or = 2.09 in^3
Describe the transformation to the parent to the parent function
y = -2|x+3|-1
Transformation:
Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
y = |x|
The translations are as follows:
It was multiplied by -2, hence it was vertically stretched by a factor of 2, and since it was multiplied by a negative number, reflected over the x-axis.x -> x + 3, hence it was shifted 3 units right.One was subtracted from the function, hence it was shifted one unit down.More can be learned about translation concepts at https://brainly.com/question/4521517