Answers
Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
_____
Additional comment
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.
Related Questions
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Write a translation rule that maps point D(7,-3) onto point D'(2,5)
PLLS HELP if you do it in simple words and step by step i will give brainliest
Answers
Answer:
translates up 8 and 5 left
Step-by-step explanation:
To find the distance (x) it translate up, -3 + x = 5 where x = 8
To find the distance (x) it translate left, 2 + x = 7 where x = 5
Answer:
(x, y) → (x-5, y+8)
Step-by-step explanation:
A translation is a type of transformation that moves a figure up, down, left or right.
Calculate the change in the coordinates by subtracting the coordinates of point D from the coordinates of point D':
\(\implies (x_{D'}-x_D, y_{D'}-y_D)\)
\(\implies (2-7, 5-(-3))\)
\(\implies (-5, 8)\)
Therefore, to map point D onto point D', move 5 units left and 8 units up.
Therefore, the translation rule that maps point D(7, -3) onto point D'(2, 5) is:
(x, y) → (x-5, y+8)
How do you keep change flip with division or multipcation?
Answers
for example
4/8 divided by 3/4
4/8 x 4/3
For example; (2/3)/(1/2)
Change the sign; (2/3 x 1/2)
Flip the second fraction; (2/3 x 2/1)
Multiply them as you would; 2/3 x 2/1= 4/3
A certain phone uses fast charging, which means that the battery charges quickly at first and then the
charging slows down. The phone is advertised to charge to 80% in two thirds of the total charging time.
Part A: If the total charge time is 96 minutes, when will the phone reach 80% battery?
Answers
If the total charge time is 96 minutes, the phone will reach 80 percent battery after 57.6 minutes of charging.
How to calculate the time taken for charging?If the total charge time is 96 minutes, and the phone is advertised to charge to 80% in two-thirds of the total charging time, then we can set up the following equation:
(2/3)x = 0.8x
Where x is the total charging time and 0.8x is the time, it takes to charge to 80%.
Solving for x, we get:
x = (3/5) * 96 = 57.6 minutes
So, the phone will reach 80% battery after 57.6 minutes of charging.
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help meeeeeeeeeeeeee pleaseee rnnnn rn!!!!!!!!!!!!!!!
Answers
The dimensions of the rectangle whose length and width must have a sum of 70 are 35 cm and 35 cm respectively.
What is rectangle?A rcetangle is a plane shape that has pair of opposite side equal and parallel.
To calculate the dimension of rectangle that will have the maximum area, we find the first derivation of the function representing the area of the rectangle, and then equate it to zero.
f(x) = x(70-x)f(x) = 70x-x²At the maximum area,
df(x)/dx = 0Therefore,
df(x)/dx = 70-2x = 0Solve for x
2x = 70x = 70/2x = 35The dimensions of the rectangle are
Length = 35 cmWidth = (70-35) = 35 cm.Hence, the dimensions of the rectangle are 35 cm and 35 cm respectively.
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Plz help due tonight
Answers
Answer:
What is Exterior Angle Theorem?
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle. Let us recall a few common properties about the angles of a triangle: A triangle has 3 internal angles which always sum up to 180 degrees. It has 6 exterior angles and this theorem gets applied to each of the exterior angles. Note that an exterior angle is supplementary to its adjacent interior angle as they form a linear pair of angles.
exterior angle theorem
We can verify the exterior angle theorem with the known properties of a triangle. Consider a Δ ABC.
The three angles a + b + c = 180 (angle sum property of a triangle) ----- Equation 1
c= 180 - (a+b) ----- Equation 2 (rewriting equation 1)
e = 180 - c----- Equation 3 (linear pair of angles)
Step-by-step explanation:
thanks for 5 points
Brainly phuse the classical definition to find the probability of the following event: flipping a fair coin twice and getting no tails. express your answer as a decimal rounded to 1 decimal place.
Answers
The probability of flipping a fair coin twice and getting no tails is 0.3.
The classical definition of probability states that if an event has n possible outcomes and all of them are equally likely to occur, then the probability of any one of them happening is 1/n.
In the case of flipping a fair coin twice, there are 2 possible outcomes for each flip (heads or tails).
Therefore, there are 2 x 2 = 4 possible outcomes for flipping the coin twice: HH, HT, TH, and TT.
Since the coin is fair, each of these outcomes is equally likely to occur.
The event of getting no tails corresponds to the outcome of HH. There is only one way to get this outcome out of the 4 possible outcomes, so the probability of getting no tails is 1/4.
To express this probability as a decimal rounded to 1 decimal place, we divide 1 by 4 and get 0.25. Rounded to 1 decimal place, the probability of flipping a fair coin twice and getting no tails is 0.3.
Therefore, the probability of flipping a fair coin twice and getting no tails is 0.3.
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Moe painted the lid of a barrel. The circumference of the lid is 32 pi( pie) inches. Which measurement is closest to the area of the lid in square inches?
Answers
Answer:
Area of lid = 804.35 square inches.
Step-by-step explanation:
Given the following data;
Circumference of lid = 32π inches
To find the area of the lid;
First of all, we would find the radius of the lid (circle).
Circumference of circle = 2πr
Substituting into the formula, we have;
32π = 2πr
Radius, r = 32π/2π
Radius, r = 16 inches.
Now, we can solve for the area of the circle using the formula;
Area of circle = πr²
Area of lid = 3.142*16²
Area of lid = 3.142 * 256
Area of lid = 804.35 square inches.
In terms of pie, area of lid = 256π square inches.
Therefore, the measurement which is closest to the area of the lid in square inches is 804.35 or 256π.
Find the 49th term.
-15, -10, -5, O, 5, ...
49th term = [?]
1st term + common difference(desired term - 1)
Enter
Answers
Answer:
49th term = 225
Step-by-step explanation:
The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.
An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.
The general formula, for the nth term of an arithmetic progression, is thus:
Tn = a + (n - 1)d, where a = first term, and d = common difference.
In the sequence: -15, -10, -5, 0, 5...,
a = -15, and d = -10--15 = 5
T49 = -15 + (49 - 1)5 = 225
∴ 49th term = 225
what type of parent function is f(x) = |x|
Answers
Answer: Absolute value function
The type of parent function is f(x)= |x| is Absolute valued function
What is Absolute valued function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
Given function:
f(x)= |x|
As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.
The above property perfectly resemble the absolute valued function.
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Help me answer the question
Answers
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Given,
Mother's age = xRevathi's age = 1/3 x = ?Difference in their age = 24 years ⇨ x - 1/3 x = 24.Now, let's solve this question using the above equation which we just formed.
\( \sf \: x - \frac{1}{3}x = 24 \\ \)
Combine x and \(\sf\:-\frac{1}{3}x \) to get \(\sf\frac{2}{3}x\).
\( \sf\frac{2}{3}x=24 \\ \)
Multiply both sides by \(\sf\frac{3}{2}\), the reciprocal of \(\sf\frac{2}{3}\).
\( \sf \: x=24\times \left(\frac{3}{2}\right) \)
Express \(\sf24\times \left(\frac{3}{2}\right)\) as a single fraction.
\( \sf \: x=\frac{24\times 3}{2} \\ \)
Multiply 24 and 3 to get 72.
\( \sf \: x=\frac{72}{2} \\ \)
Divide 72 by 2 to get 36.
\( \boxed{ \bf \: x=36 }\)
We now have the age of Revathi's mother (x) = 36 years. Now, let's find Revathi's age ⇨ \(\sf\:(\frac{1}{3}x) \)
\( \rightarrow \sf \: \frac{1}{3} x \\ \rightarrow \sf \: \frac{1}{3} \times 36 \\ \rightarrow \sf \: \frac{1}{ \bcancel 3} \times \bcancel{36} \\ \rightarrow \sf \:1 \times 12 \\ = \boxed{\boxed{\bf \: 12}}\)
So, Revathi is 12 years old.Answer:
Step-by-step explanation:
let x be the mother's age and r be Revathi's age
x-r=24
r=x/3 or 3r=x
Revathi's age is (1/3)*x or x/3
we replace in the first equation x with 3 r
3r-r=24
2r=24
r=12 Revathi's age is 12
His mom is 36
the difference between their age is 36-12=24
Write the rate as a unit rate.
575 calories in a 5-ounce serving
The unit rate is cal/oz.
(Simplify your answer. Type a whole number or a decimal.)
Answers
The rate can be simplified to a unit rate of 115 calories per ounce.
To find the unit rate, we need to divide the total number of calories by the number of ounces in the serving.
575 calories in a 5-ounce serving
To get the unit rate in calories per ounce, we can divide the total number of calories by the number of ounces:
575 / 5 = 115
Therefore, the unit rate is 115 calories per ounce.
A unit rate is a rate that has a denominator of 1. In this case, the unit rate is 115 calories per ounce, which means that there are 115 calories in one ounce of the serving. This is useful for comparing the calories in different serving sizes or for calculating the calories in a different amount of the same food. By simplifying the rate to a unit rate, we can make it easier to compare and use in calculations.
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You travel 220km on 20Lt petrol, how many km per litre
Answers
You can travel 11 kilometers per litre of petrol.
Calculate the number of kilometers per litreYou can calculate the number of kilometers per litre by dividing the distance travelled by the amount of petrol used. In this case, you would divide 220km by 20Lt to get the number of kilometers per litre.
Here is the step-by-step calculation:
1. Distance travelled = 220km
2. Amount of petrol used = 20Lt
3. Kilometers per litre = Distance travelled / Amount of petrol used
4. Kilometers per litre = 220km / 20Lt
5. Kilometers per litre = 11km/Lt
Therefore, you can travel 11 kilometers per litre of petrol.
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Find the value of x.
M
(Round to the nearest degree as needed)
Answers
Answer:
28
Step-by-step explanation:
Factor completely.
-3x² + 6x + 9 =
Answers
Answer:
-3(x - 3) (x + 1)
Step-by-step explanation:
Let's check
-3(x - 3) (x + 1)
(-3x + 9) (x + 1)
-3\(x^{2}\) -3x + 9x + 9
-3\(x^{2}\) + 6x + 9
Answer:
-3(x-3)(x+1)
Step-by-step explanation:
A common factor that all three numbers share is that they are divisible by 3, so we can factor 3 out. Typically, I take out the negative first:
-3(\(x^2-2x-3\)) (always remember to change signs!)
Now, we are left with \(x^2-2x-3\), and to factor that out, we need to find two numbers that add up to -2 and multiply to -3. These two numbers will be 1 and -3, so we can write our factor like this:
(x-3)(x+1)
Let's add back in the -3 from earlier to complete our factoring:
-3(x-3)(x+1)
The vertex form of the quadratic function f(x)=-6x^2-60x-151 is f(x)=a(x-h)^2+k
Answers
The values of a, h and k for the given quadratic function are:
a = -6, h = -5 and k = -1
What is vertex form?
This is one way of writing a quadratic function:
f(x) = a(x-h)² +k
(h, k) = vertex
a = vertical stretch
According to the given question:
We're given:
f(x)= -6x² - 60x - 151
To write a quadratic function in vertex form, we must complete the square.
⇒ Put parentheses around the first two terms containing x and x²:
f(x)= (-6x² - 60x) - 151
⇒ Factor out -6 (keeping the x's in the parentheses):
f(x)= -6(x² + 10x) - 151
⇒ To complete the square, add, inside the parentheses, the square of half the coefficient of x.
⇒ In this case, the coefficient of x is 10.
⇒ Half of this value is 5.
⇒ The square of 5 is 25.
⇒ Add this inside the parentheses:
f(x) = -6(x² + 10x + 25) - 151
⇒ Now, we cannot randomly introduce a new value into a function. To balance the +25, subtract -6(25) outside the parentheses:
f(x) = -6(x² + 10x + 25) - 151 - (-6 x 25)
f(x) = -6(x² + 10x + 25) - 151 - (-150)
f(x) = -6(x² + 10x + 25) - 151 + 150
f(x) = -6(x² + 10x + 25) - 1
⇒ Finally, complete the square.
Remember: (a + b)² = a² + 2ab + b²
In this case, a is x, and b is 5:
f(x) = -6(x + 5)² - 1
On comparing with f(x) = a(x-h)² +k we get the values of a, h and k as:
a = -6
h = -5
k = -1
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Sales Tax
A video game system cost $130 and the sales tax is
6.5%. What is the total cost of the video game system?
Answers
Answer:
138.45
Step-by-step explanation:
130×6.5%=8.45
130+8.45=138.45
Graph the functions to find the x values that satisfy the inequality.
f(x)=-2(x+3)^2+5
g(x)=x+7
For what values of x is f(x)≤g(x)?
Options:
(-∞,∞)
No values of x
[-5, -2]
(-∞, -5]∪[-2, ∞)
Answers
no value of x for f(x) ≤ g(x)
What do you mean by function?
Function, in mathematics, a formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).
The types of functions can be roughly classified into four types. Based on item:
One-to-one functions, many-to-one functions, on functions, one-to-one, and within functions.
Given functions:
f(x)=-2(x+3)^2+5
g(x)=x+7
According to the graph given for the functions there is no value of x for which f(x) ≤ g(x) .
Therefore, no value of x for f(x) ≤ g(x)
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Look at the picture
below
As heat is being
added, what is
happening to the
water that is
escaping?
Answers
As heat is being added, the water is turning into water vapor .
=
What is the value of the expression below when w=
3?
5w + 2
Answers
Answer:
17
Step-by-step explanation:
5w+2
Substitute w as 3
5(3)+2
Multiply
15+2
Add
17
I hope this helps!
If I could have help with this that would be great :) i’ve been working on it for about an hour.
Answers
B. $72.80
C. No
Determine whether segment lengths form a triangle. If so, classify the triangle as acute, right or obtuse.
1. 10, 7, sqrt(658)
Answers
Answer:
it is a triangle bc it has angles of points
Step-by-step explanation:
i am stuck on this question and i’m not sure how to graph it
Answers
Given the function:
\(f\left(t\right)=e^{0.4t}\)For t = -4,
\(f\left(t\right)=e^{0.4(-4)}=e^{-1.6}=0.2\)For t = -2,
\(f(t)=e^{0.4(-2)}=e^{-0.8}=0.4\)For t = 0,
\(f(t)=e^{0.4(0)}=e^0=1\)For t = 2;
\(f(t)=e^{0.4(2)}=e^{0.8}=2.2\)For t = 4,
\(f(t)=e^{0.4(4)}=e^{1.6}=5\)Then we graph the points
(-4,0.2) (-2, 0.4) (0,1) (2, 2.2) and (4,5)
and we get the graph:
what should I put?????
Answers
How to do this and need answer pls do so
Answers
Answer:
(-3,-7)
Step-by-step explanation:
I hope this helps!!!
Answer: I think the answer is (-3, -7)
Step-by-step explanation: Since it's reflecting it's the opposite which is negative! I hope it helped! :)
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14
for pi.
a
2144.7 cm
b
254 cm
С
83.6 cm
d
2220 cm
Answers
Answer:
a
Step-by-step explanation:
Volume of water in sphere is 2,143.57 cm³
Given that;Radius of sphere = 8 cm
Value of π = 3.14
Find:Volume of water in sphere
Computation:Volume of sphere = (4/3)πr³
Volume of water in sphere = (4/3)(3.14)(8)³
Volume of water in sphere = (4/3)(3.14)(512)
Volume of water in sphere = 2,143.57 cm³
So, Option "A" is the correct answer to the following question.
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Find the area of the shape shown below.
Answers
Answer:
28
Step-by-step explanation:
Brainiest for whoever can answer this correctly please helppp
Answers
Answer:
positive
Step-by-step explanation:
Answer:
Negative.
Step-by-step explanation:
I know its negative but i sont knw the other answers
PLSSS HELP ME WITH THIS???!!!!
Answers
Please help mee !!!!!!!
Answers
Answer:
Quadrilateral
Step-by-step explanation:
Its a quadrilateral. Quadrilateral means four sided shape, and the pic above shows a four sided shape
Find the absolute maximum and the absolute minimum value of f(x)=2x 4 −6x 3 +5. Enter "NA" in any answer box when no such answer exists. (ROUND YOUR ANSWERS TO 3 DECIMAL PLACES.) The absolute maximum value is and it occurs when x= The absolute minimum value is and it occurs when x=
Answers
Taking the derivative of the function with respect to x, we get f'(x) = 8x³ - 18x² Clearly, we have a stationary point at
x = 0.
0 = 2x⁴ - 6x³ + 5.
This can be written as 2x⁴ - 6x³ - 5 = 0 This equation can't be solved by factoring hence we have to use numerical methods to solve it.We can use the Newton Raphson method to solve the equation
Where x0 is the initial guess, taken as 1.7 We obtain The absolute maximum value is f(0) = 5 and it occurs when x= 0.The absolute minimum value is
f(1.094) = -5.597 and it occurs when
x= 1.094.
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