Answers
To begin, please note some of the properties of a kite;
The diagonals bisect each other at right angles (that is line BD and line AC meet at right angles)
The opposite angles where the unequal sides meet are equal in measure (that is angle ABC and angle ADC are equal in measure).
Therefore,
\(\begin{gathered} In\text{ triangle EBC,} \\ \angle B=27,\angle E=90,\text{ hence} \\ \angle C=180-(27+90)\text{ angles in a triangle add up to 180} \\ \angle C=63 \end{gathered}\)Therefore, angle measure BCE = 63
Note also that triangle ABE is congruent to triangle ADE.
Hence, in triangle ABE, angle measure B equals angle measure D in triangle ADE. Therefore
\(\begin{gathered} In\text{ triangle ABE,} \\ \angle B=52,\angle E=90,\text{ hence} \\ \angle A=180-(90+52) \\ \angle A=38 \end{gathered}\)Note also that the line AC is an angle bisector, since its perpendicular to line BD. That means angle measure BAE and DAE are equal in size.
Therefore, angle BAD
\(\begin{gathered} \angle BAD=\angle BAE+\angle DAE \\ \angle BAD=38+38 \\ \angle BAD=76 \end{gathered}\)Related Questions
Zinc roofing weighs 1.6 pounds per square foot. Jose wants to order 357.85 square feet of roofing. Before ordering, he calculates how much weight that will put on his roof. His calculation is shown below. 357.85 x 1.6 214710 + 35785 + 178.925 Why is his answer incorrect? A. He did not line up the decimal points in the factors. B.He put the decimal point in the answer in the wrong place. C.He did not use a placeholder when multiplying by one. D.He did not multiply 6 by 357.85 correctly.
Answers
Answer:
c
Step-by-step explanation:
Select the two values of x that are roots of this equation.
x2 + 2x – 6 = 0
A. x = -1 - sqrt of 7
B. x = -1 + sqrt of 7
C. x = -1 +2 sqrt of 7
D. x = -1 -2 sqrt of 7
Answers
The solution of the quadratic equation is obtained as -1 ± √7. Option A and B.
What is a quadratic equation?We know that a quadratic equation has to do with the kind of equation that have the general form; y = ax^2 + bx + c. This implies that we are going to have the highest power of the variable to be x.
As such, we have the equation that have been written as; x^2 + 2x – 6 = 0. We are to find the roots of the quadratic equation which are the values for x. When we solve the quadratic equation we have;
-1 ± √7
Learn more about quadratic equations:https://brainly.com/question/30098550
#SPJ1
The following expression is equal to q". What is the value of n?
Answers
We can see here that the value of n = 16.
What is an expression?An expression in mathematics is a combination of numbers, variables, and mathematical operations that represent a mathematical value or concept. It can be a single term, such as "5x", or a combination of terms, such as "5x + 2". Expressions are used to describe mathematical relationships and equations, and they can be simplified, evaluated, and solved to determine a numerical value.
Below is how we got n.
We can see that having: \(\frac{(q^{4} )^{-3} }{q^{-15} }\)
\(\frac{(q^{4} )^{-3} }{q^{-15} } = q^{n}\)
Thus, \(\frac{(q^{4} )^{-3} }{q^{-15} } = \frac{q^{4-3} }{q^{-15} }\)
∴ \(\frac{q^{4-3} }{q^{-15} } = q^{1-(-15)} = q^{1+15} = q^{16}\)
Therefore, \(q^{n} = q^{16}\)
Thus, n = 16.
Learn more about an expression on https://brainly.com/question/1859113
#SPJ1
What are Limit of g (x) as x approaches 4 negative and Limit of g (x) as x approaches 4 plus, if they exist?
Answers
Answer:
The answer is B
Step-by-step explanation:
i got 100%
The limit g(x) is that g(x) = -4 and Lim g(x) = 2.
How to illustrate the limit?It should be noted that a graph simply means a diagram that shows the relationship between the numbers of measurements.
In this case, from the graph, it can be seen that limit g(x) is that g(x) = -4 and Lim g(x) = 2.
Learn more about limit on:
https://brainly.com/question/23935467
Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient.Where should he place the decimal point? Use number sense to explain
Answers
Malcolm should place the decimal point immediately after one (1) or before three (3) as follows: 8.25/6 = 1.375.
What is a quotient?In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.
As a general rule, the smaller the divisor (denominator) of a mathematical expression, the larger would be the quotient. This ultimately implies that, a quotient would be large when the divisor (denominator) of a mathematical expression is small.
On the other hand (conversely), a quotient would be small when the divisor (denominator) of a mathematical expression is large.
Based on Malcom's calculations, he forgot to place the decimal point in the following expression;
8.25/6 = 1375
Next, we would determine the maximum value of this quotient;
8.25/6 = 12/6
8.25/6 = 2
Therefore, the whole number part for this decimal number would be one (1) and as such, the decimal point must be placed immediately after 1 as follows;
8.25/6 = 1.375
Read more on quotient here: brainly.com/question/748723
#SPJ1
Complete Question;
Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient. Where should he place the decimal point? Use number sense to explain.
8.25/6 = 1375
On its own, 5 � � 5ab5, a, b is the product of
Answers
The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form
The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.
The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.
The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.
Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.
Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.
For more questions on Simple form.
https://brainly.com/question/27624273
#SPJ8
the diameter of a circle is 18in find its area to the nearest tenth
Answers
Answer:
approximately 254.5
btw area of circle= pi multiplied by radius
Step-by-step explanation: I got you bro
Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]
but because it asks for nearest tenth
254.5 in²
this is your real answer
A calculator displays 6E6. How do you write 6E6 in standard form
Answers
6E6 is a number written in scientific notation, which means that it represents 6 times 10 raised to the power of 6. To write this number in standard form, we need to evaluate the exponent and write the number in expanded form.
6E6 = 6 x 10^6
Evaluating the exponent 6 means multiplying 6 by 10 six times:
6 x 10^6 = 6 x 10 x 10 x 10 x 10 x 10 x 10
Simplifying the expression, we get:
6 x 10^6 = 6,000,000
Therefore, 6E6 in standard form is 6,000,000.
If your car gets 35 miles per gallon, how much does it cost to drive 420 miles when gasoline costs $2.50 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answers
Answer: 30$
Step-by-step explanation:
first you divide 420 by 35 and you get 12 times 2.50$ equals 30$
Sonja has 3 hours to finish a slide presentation. It takes hee 1/5 hour to crest each slide. Will Sonja have enough time to create 8 slides?
Answers
She has 3 hours to complete her 8 slides presentation but it'll only take her 1.6 hours to complete. Thus she'll have enough time to complete her work.
How to solve basic algebra?
The simple mathematical operations like addition, subtraction, multiplication, and division that use both constants and variables are covered in Basics of Algebra. For instance, x+10 = 0 Equations are a key algebraic concept that are introduced here. The weights in the algebraic equation are balanced by the use of numbers or constants, like a scale.
total slides she has to complete = 8 slides
time it takes for her to finish one slide = 1/5 hour or 30 min
thus time itll take her to complete 8 slides = time it takes for her to finish one slide * 8
= 1/5 * 8
=8/5
=1.6hours for her to finish one slide * 8
= 1/5 * 8
=8/5
=1.6hours
1.6 < 3
She has 3 hours to complete her 8 slides presentation but it'll only take her 1.6 hours to complete. Thus she'll have enough time to complete her work.
to learn more about basic algebra visit:
https://brainly.com/question/723406
#SPJ13
Please help solve this
Answers
Answer: ∞
Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).
Tula can paint 2/3 of a room in 3/4 hours. How many rooms can she paint in one hour?
Answers
Answer:
She can paint 1 1/2 of a room
Step-by-step explanation:
I believe...
Answer:
8/9
its just simple equations
you do 2/3 divided by 3/4 for the unit rate.
- Draw A' the symmetric of A with respect to point O
- Draw A' the symmetric of A with respect to (d)
Answers
Answer:
how am i supposed to answer this? draw a line lol
Step-by-step explanation:
find the missing base below
|
|
|
V
Answers
Step-by-step explanation:
area of a parallelogram is bh
so if a parallelogram has a base of b and a height of 10 and an area of 140
b(10)=140
b=14
Hope that helps :)
Find the local maximum and minimum values of f using both the First and Second Derivative Tests.f(x) = 6 + 12x2 − 8x3
Answers
Answer:
The local maximum is at x = 0 and local minimum is at x = 1
Step-by-step explanation:
f(x) = 6 + 12x² - 8x³
The second derivative test is as follows:
When a function's slope is zero at x, and the second derivative at x is:
i) less than 0, it is a local maximum
ii) greater than 0, it is a local minimum
iii) equal to 0, then the test fails
\(f(x)=6+12x^2-8x^3\\\\\frac{df(x)}{dx} =24x-24x^2\\\\24x-24x^2=0\\24x(1-x)=0\\\\x=0\ and\ x=1\)
\(The\ second\ derivative\ is:\\\\f"(x)=24-48x\\\\At\ x=0\\\\f"(0)=24-48(0)=24 >0. (It\ is\ a\ local\ maximum)\\\\At\ x=1\\\\f"(1)=24-48(1)=-24<0. (It\ is\ a\ local\ minimum)\)
The local maximum is at x = 0 and local minimum is at x = 1
Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
A. List three possible dollar amounts in cash and prizes Regan can win
B. Write an inequality to represent the dollar amounts d in cash and prizes Regan can win.
Answers
An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.
Let d represent the amount of cash in dollars and p represent the amount of prizes.
Since the grand prize winner is guaranteed to win at least $500,
So, p + d ≥ 500
Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ1
CAN SOMEONE HELP? The answer has to be decimal.✨
Answers
The angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.
What is an angle of elevationThe angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
We shall evaluate for the angle of elevation θ in degree, and then convert the result to radian as follows:
θ = tan⁻¹(4255/2000)
θ = 64.82482°
we multiply by π/180 to convert to radian;
θ' = 64.82482° × π/180
θ' = 1.13186 rounded to five decimal place.
Therefore, the angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.
Know more about angle of elevation here:https://brainly.com/question/2096694
#SPJ1
Line m passes through the points (6,10) and (4,6) which equation represents a line that is perpendicular to line m
Answers
Answer:
b. y = -1/2x + 9
Step-by-step explanation:
Choices:
a. y = -2x - 2
b. y = -1/2x + 9
c. y = 1/2x + 11
d. y = 2x + 14
A line passes through these points: (6, 10) and (4, 6)
m = (10 - 6)/(6 - 4) = 4/2 = 2
The slope of the given line is 2.
Slopes of perpendicular lines are negative reciprocals.
The slope of the perpendicular is -1/2.
The answer is a line with slope -1/2.
Answer: b. y = -1/2x + 9
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
Answers
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
For more such questions on rank
https://brainly.com/question/28839672
#SPJ8
A dance troupe has 30 men and 79 women. What is the ratio of women to men?
Answers
Answer:
79:30
Step-by-step explanation:
x-3y+2x+4 combining like terms
Answers
Answer:
3x-3y+4
Step-by-step explanation:
Answer:
3x-3y+4
Step-by-step explanation:
x-3y+2x+4
Assume the coefficient of term x is 1, so: 1x-3y+2x+4
1x and 2x are the only like terms, so we combine them and the final answer is:
3x-3y+4
A sample of bacteria is decaying according to a half-life model. If the sample begins with 900 bacteria, and after 19 minutes there are 360 bacteria, after how many minutes will there be 10 bacteria remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number.
Answers
The rate of decay of the exponential function is 4.94% and it will take 93.32 minutes to have 10 bacterial left
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
The formula of a decaying exponential function is
A = P(1 + k)⁻ˣ
A = Current amountP = initial amountLet's calculate the rate of decay of the function
360 = 900(1 + k)⁻¹⁹
k = 0.0494
k = 4.94%
The time it will take to have 10 bacteria left will be
A = P(1 + k)⁻ˣ
10 = 900(1 + 0.0494)⁻ˣ
x = 93.32
The time it will take is 93.32 minutes
Learn more on exponential function here;
https://brainly.com/question/2456547
#SPJ1
what is the x-intercept of the line 10x-5y=40
Answers
Answer:
4
Step-by-step explanation:
The x-intercept occurs when y=0, if you think about it graphically. Plug y=o into your equation:
10x - 5(0) = 40
10x = 40 (divide each side by 10)
x=4
Walmart was having a sale on stereo systems. Danny wants the stereo that is originally $140
but it is on sale for 25% off. How much will Danny have to spend?
Answers
Answer:
$105
Step-by-step explanation:
Turn 25% to decimal
25% = 0.25
Now multiply it to 140
140 x .25
= $35
The discount price is 35$
Now subtract it to 140
140 - 35
= $105
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day!
We can solve this problem in two steps; Comprehending and Solving.
I'll start off with Comprehending.
Comprehending
We can start solving the problem by setting up an equation to help us solve the problem.
We know the original price is $140 and we get a 25% off.
We also know that 25% is equal to \(\frac{1}{4}\).
Hence we can solve for this by multiplying \(140*\frac{1}{4}\).
Solving
We can solve the problem by using the equation that we found out above.
We can use algebra to find out and simplify it!
\(140*\frac{1}{4}= x\\70*\frac{1}{2}=x\\x= 35\)
But wait! We have only found out what 25% of $140 is, we still need to subtract it from the original equation.
$140-$35=$105
We've gotten our answer of $105.
Cheers!!
F(x) = 3x + 2
What is f(5)
Answers
Step-by-step explanation:
to find f(5) in f(x) , just put in '5' where 'x' is in the equation
f(5) = 3 (5) + 2 = 17
Answer:
f(5) = 17
Step-by-step explanation:
Let's evaluate the function for f(5)
\(\rm{f(x)=3x+2}\)Insert 5 everywhere x appears:
\(\rm{f(5)=3(5)+2}\)\(\rm{f(5)=15+2}\)\(\rm{f(5)=17}\)Therefore f(5) = 17
Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}5x+y=3\\\\4x-7y=8\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 4x−7y=8 \begin{cases}5x+y=3\\\\x+8y=-5\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 5x+y=3 x+8y=−5 1) How can we get System BBB from System AAA?
Answers
Answer:
First One is C and the second one is A
Step-by-step explanation:
I got it wrong then found out the answers
Systems of equations are collection of multiple equations
We can get system B from system A by: subtracting both equations in system A and by bringing the first equation of system A
The systems of equations are given as:
System A
5x + y = 3
4x - 7y = 8
System B
5x + y = 3
x + 8y= -5
Subtract 4x - 7y = 8 from 5x + y = 3
So, we have:
\(\mathbf{5x - 4x + y+7y = 3 - 8}\)
\(\mathbf{x + 8y =- 5}\)
This means that, we can get system B from system A by:
Subtracting both equations in system AAnd by rewriting the first equation of system ARead more about systems of equations at:
https://brainly.com/question/12895249
F(x)=2x^2+3
find that derivative
Answers
Answer:
\(\displaystyle F'(x) = 4x\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Derivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle F(x) = 2x^2 + 3\)
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: \(\displaystyle F'(x) = \frac{d}{dx}[2x^2] + \frac{d}{dx}[3]\)Rewrite [Derivative Property - Multiplied Constant]: \(\displaystyle F'(x) = 2 \frac{d}{dx}[x^2] + \frac{d}{dx}[3]\)Basic Power Rule: \(\displaystyle F'(x) = 4x\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
I NEED HELP
Which of the following is the difference of 35.6 and 7.43?
A.27.17
B.27.23
C.28.17
D.28.23
Answers
The following table presents the temperatures measured on a heat plate:
Using linear interpolation find the temperature at x=4, y=3.2.
Answers
The temperature at x = 4, y = 3.2, estimated through linear interpolation from the given data points, is approximately 46.744.
How to Use Linear Interpolation to find the Temperature?To find the temperature at x=4, y=3.2 using linear interpolation, first of all, determine the values at the surrounding grid points and interpolate between them.
From the given table, we can identify the following surrounding points:
Point A: (x=4, y=3)
Point B: (x=4, y=4)
Point C: (x=6, y=3)
Point D: (x=6, y=4)
Next, interpolate along the x-axis at y=3 to find the temperature at x=4:
Temperature at x=4, y=3 = Interpolate(A, B)
Also, we have to interpolate along the x-axis at y=4 to find the temperature at x=4:
Temperature at x=4, y=4 = Interpolate(A, B)
Next, we'll interpolate between the temperatures obtained above along the y-axis at y=3.2:
Temperature at x=4, y=3.2 = Interpolate(Temperature at x=4, y=3, Temperature at x=4, y=4)
Let's calculate these values step by step:
Interpolate along the x-axis at y=3:
Temperature at x=4, y=3 = Interpolate(A, B)
= 80.00 + (4-4)/(4-4) * (80.00 - 80.00)
= 80.00
Interpolate along the x-axis at y=4:
Temperature at x=4, y=4 = Interpolate(A, B)
= 38.43 + (4-4)/(4-4) * (35.03 - 38.43)
= 38.43
Interpolate between temperatures along the y-axis at y=3.2:
Temperature at x=4, y=3.2 = Interpolate(Temperature at x=4, y=3, Temperature at x=4, y=4)
= 80.00 + (3.2-3)/(4-3) * (38.43 - 80.00)
= 80.00 - 0.8 * 41.57
= 80.00 - 33.256
= 46.744
Therefore, the temperature at x=4, y=3.2 is approximately 46.744.
Learn more about Linear Interpolation on:
https://brainly.com/question/26174353
#SPJ1
If two pyramids are similar and the ratio between the lengths of their edges is 2:7, what is the ratio of their volumes? O A. 49:4 O B. 2:7 O C. 4:49 O D. 8.343
Answers
Answer:
D. 8.343
Step-by-step explanation: