Applying the properties of a rhombus, we have:
AB = BD = CD = AC = 11
What is a Rhombus?A rhombus is a type of quadrilateral, which is a four-sided polygon with four angles. A rhombus is a special type of parallelogram in which all four sides are equal in length.
Therefore, we would create an equation to find the value of using the properties of rhombus:
2x - 3 = x + 4
2x - x = 3 + 4
x = 7
AB = 2x - 3 = 2(7) - 3 = 11
All sides are equal, therefore:
AB = BD = CD = AC = 11
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4
3
A
1
%
2
What is the equation of line k?
Answer:
Y=-3x+15
Step-by-step explanation:
Sorry I kind of guessed your problem bc it is hard to understand.
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
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please help me asap
Answer:
2.yes 3.no
Step-by-step explanation:
Your dinner in London cost 82 British pounds. How much
was it in U.S. dollars?
Some one please help me ASAP!!!
In U.S. dollars, the equivalent money will be $100.74
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is your dinner in London cost 82 British pounds
Then in U.S. dollars, the equivalent money will be equivalent to -
x = 82 pounds = 82 x 1.2286 = $100.74
x = $100.74
Therefore, in U.S. dollars, the equivalent money will be $100.74
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Find f′(x)
1. f(x) = x + 2
2. f(x) =2/x2
f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.
So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.
To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.
The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).
In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.
Applying the power rule, we differentiate each term separately:
f'(x) = d/dx (x^1) + d/dx (2)
The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.
The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.
Therefore, f'(x) = 1 + 0 = 1.
So, the derivative of f(x) = x + 2 is f'(x) = 1.
To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.
The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).
The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).
In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).
Applying the power rule and the constant multiple rule, we differentiate each term separately:
f'(x) = d/dx (2 * x^(-2))
Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.
Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.
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Aaron contributed $3,100 to his RRSP at the end of every half- year. What was the value of his RRSP after 12.5 years if the RRSP grew at 2.6% compounded semiannually? (Round your final answer to 2 decimal places
The value of Aaron's RRSP after 12.5 years, compounded semiannually at a rate of 2.6%, would be approximately $4,197.40.
To calculate the value of Aaron's RRSP after 12.5 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (value of RRSP after 12.5 years)
P = Initial contribution per period ($3,100)
r = Interest rate per period (2.6% or 0.026)
n = Number of compounding periods per year (2 since it's compounded semiannually)
t = Number of years (12.5)
Plugging in the values, we have:
A = 3100(1 + 0.026/2)^(2 * 12.5)
Simplifying the expression inside the parentheses:
A = 3100(1 + 0.013)^25
Calculating the value inside the parentheses:
A = 3100(1.013)^25
Using a calculator or a spreadsheet, we can evaluate the expression inside the parentheses to get:
A ≈ 3100(1.354)
A ≈ 4197.40
Therefore, the value of Aaron's RRSP after 12.5 years, compounded semiannually at a rate of 2.6%, would be approximately $4,197.40.
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Help me pls pls pls pls pls pls
Answer:
D. Strong and positive
Step-by-step explanation:
Answer:
D D D D D D D D D D D D D D D
please help me id really appreciate it
Answer:
Step-by-step explanation:
1. 2/5
2. 9/20
3. 0.43
4. 40.2%
5. 42%
6. 0.403
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`
I truely hope this is right & i hope this helps you ! <3
Tom has some toy cars. 25 of them are red. He has 35 more green cars than red cars. The remaining 15 toy cars are yellow. Tom decides to pack 5 toy cars of the same colour in a box. How many more boxes of red and green toy cars are there than boxes of yellow toy cars?
Answer:
Step-by-step explanation:
red = 25
green = 25 + 35 = 60
yellow = 15
red = 25/5 = 5
green = 60/5 = 12
yellow = 15/5 = 3
Red + green = 5 + 12 = 17 boxes
yellow = 3 boxes
17 - 3 = 14 boxes
There are 14 more boxes of red and green cars than yellow cars.
5c - 4c + c; = 2, = 5, and =– 3
Answer: 0
Step-by-step explanation:
c2+2c−24=0
Describe the error in solving the linear system of inequalities.
X
y≤ 3x+4
y> ¹/x+2
4
-2
УМ
4
2 x
A system of linear inequalities represented by the graph include the following:
y ≥ -x + 4
\(y\ge \frac{3}{2} x-9\)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of the dashed line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 4)/(4 - 0)
Slope (m) = -4/4
Slope (m) = -1
At data point (0, 4) and a slope of -1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = -1(x - 0)
y = -x + 4
y ≥ -x + 4 (since the dashed line is shaded above).
For the solid line, we have:
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 - 0)/(8 - 6)
Slope (m) = 3/2
At data point (6, 0) and a slope of 3/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 0 = 3/2(x - 6)
y = 3/2(x) - 9
\(y\ge \frac{3}{2} x-9\) (since the solid line is shaded above).
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Complete Question:
Write a system of linear inequalities represented by the graph.
m NEED HELP ON THIS ONE
The following measurements on a semi circle are
m< S = 47 degree
m< U = 90
x = 6.78
What are angles on a semicircle?The angle inscribed on a semicircle is equal to 90 degrees. This makes the triangle SUT a right triangle
How to find the angle on the semicircleThe angle at U is the inscribed angle and this is equal to 90 degrees
m< U = 90 degrees
m< S + m< U + m< T = 180 - sum of angle o a triangle
m< S = (9x - 14)
m< U = 90
m< T = 43
substitute the values
9x - 14 + 90 + 43 = 180
9x - 14 = 180 - 90 - 43
9x - 14 = 47
9x = 47 + 14
9x = 61
x = 61/9
x is solved to be 61/9
m< S = 9x - 14
substitute the value of x
m< S = 9 * 61/9 - 14
m< S = 47 degree
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PLEASE HURRY IM IN A RUSH!!!<3
Answer:
64 and 100 are the squares
Answer:
\(8^{2} = 8*8=64\\10^{2} = 10*10=100\)
Step-by-step explanation:
Hope it helps,... Chow,...!
In circle M below, diameter AC, chords AB and BC, and radius MB
are drawn.
The statement which is not true about the circle M is ∆ABM is isosceles.
The correct answer choice is option 2.
Which statement is not true?Based on the circle M;
diameter AC,
chords AB and BC,
radius MB
Isosceles triangle: This is a type of triangle which has two equal sides and angles.
Equilateral triangle is a triangle which has three equal sides and angles.
Hence, ∆ABM is equilateral triangle.
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You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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A number is multiplied by 2, and then the product is added to 9. The result is 49
Answer:
the answer would be twenty
Step-by-step explanation:
20x2=40 +9=49
49=49
ASAP HELPPP PLEASE ANSWER CORRECT QUESTION!! GIVING OUT BRAINLY Stars!!!
Silas is researching the cost of a specific souvenir he wants to buy on his international trip.
Use the table to answer the question.
Country Currency Name Exchange Rate Per US Dollar Average Cost of Souvenir: Britain pound 0.83 British pounds 17. British pounds Egypt pound 18 Egyptian pounds 288 Egyptian pounds
Determine which country the souvenir would be less expensive in in US dollars. Show your work. (10 points)
Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.
In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:
c = 17/0.83 = $20.48.
In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:
c = 288/18 = $16.
16 < 20.48, hence the souvenir would be less expensive in Egypt.
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Please can someone help me I’m confused and lost
Answer: the answer is the third one
Step-by-step explanation:
well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3
Find the length of the segment indicated.
.
9.6
10.2
<
Answer:
i think d or c.....i think it's correct because know just small...
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
A large national park has an area of 91,417 acres. What is its area in hectares
Answer:
36995.1474
Step-by-step explanation:
multiply the area value by 2.471
Write an equation describing the relationship of the given variables: y varies inversely as the cube root of x and when x=8, y=6
The equation describing the relationship between x and y is:
\(y = 12/x^{(1/3)}\)
A function's inverse function reverses the action of a function, or f.
If y varies inversely as the cube root of x, we can write the following equation:
\(y = k/x^{(1/3)}\)
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
where k is a constant of proportionality.
To solve for k, we can use the given information that when x=8, y=6:
\(6 = k/8^{(1/3)}\)
Simplifying the right side:
\(6 = k/2\\k = 12\)
Substituting k back into the equation, we get:
\(y = 12/x^{(1/3)}\)
Therefore, the equation describing the relationship between x and y is:
\(y = 12/x^{(1/3)}\)
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Find the infinite sum of the geometric sequence with a = 4 , r = 4/6 if it exists.
Answer:
Step-by-step explanation:
The infinite sum of a geometric sequence is given by the formula:
S = a / (1 - r)
where a is the first term of the sequence and r is the common ratio. In this case, a = 4 and r = 4/6 = 2/3. Plugging these values into the formula above, we get:
S = 4 / (1 - 2/3) = 4 / (1/3) = 4 * 3 = 12
Therefore, the infinite sum of the geometric sequence with a = 4 and r = 2/3 is 12.
1/2(x+10)= 1/4 (x-8) x=
(must be a fraction)
Answer:
\(x=-9\frac{1}{3}\)
Step-by-step explanation:
\(\frac{1}{2}(x+10)=\frac{1}{4}(x-8)\)
\(\frac{1}{2}x+5=\frac{1}{4}x-2\)
\(\frac{1}{2}x-\frac{1}{4}x=-5-2\)
\(\frac{3}{4}x=-7\)
\(x=-\frac{28}{3}=-9\frac{1}{3}\)
i need help can someone please help me
The measure of the angle m∠ZYX of the trapezoid is equal to 139°
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.
3x + 19 + x + 1 = 180°
4x + 20 = 180°
4x = 180 - 20 {collect like terms}
4x = 160
x = 160/4 {divide through by 4}
x = 40
m∠ZYX = 3(40) + 19 = 139°.
WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.
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There are 370 students enrolled in a math course and 488 students enrolled in a history course. Construct a ratio comparing students enrolled in a math course to students enrolled in a history course
The ratio comparing students enrolled in a math course to students enrolled in a history course will be; 0.709
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b. Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Given that there are 370 students enrolled in a math course and 488 students enrolled in a history course.
The ratio of p to q can be written as p/q .
Now, The ratio comparing students enrolled in a math course to students enrolled in a history course wil; be;
370/488
we can simplify it to 185:244
or 185/244
Hence, The ratio comparing students enrolled in a math course to students enrolled in a history course will be; 0.709
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A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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Maria jogs 5 laps of a football field that
is 100 m by 50 m. How far does she jog?
Answer:
1500 m
Step-by-step explanation:
given that the field is 100m by 50m we can find that the perimeter of the field is 300m. if she jogged 300m 5 times she would have jogged 1500m
Graph the solution to this inequality on the number line (pls help!)
Answer: A. x <= -3
Step-by-step explanation:
First, let's begin by simplifying the inequality:
-4x >= 12 ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...
-4x / -4 <= 12 / -4 ← Simplify...
x <= -3
Now, we need to find the right number line representing this inequality.
There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.The number line that fits these criteria would be A.
which two layers in this model represent parts of the earth that are mostly iron and nickel
Answer:
inner and outer core are the ones that have iron and nickel
Step-by-step explanation:
The answer is inner and outer core