Answer:
n = 12
Step-by-step explanation:
Solve for n
3 ( n -5 ) = 21
Divide each side by 3.
3/3 ( n -5 ) = 21/3
n-5 = 7
Add 5 to each side.
n-5+5 = 7+5
n = 12
A. Neither
B. SSS
C. SAS
Choose SSS,
SAS, or neither
to compare these
two triangles.
No Criteria used to compare the Triangles.
What is Congruence?Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.
Given:
As from the Figure in two Triangles ACB and ECD.
<ACB = <ECD (Vertically Opposite Angle)
AC= CE (Given)
But we do not have any third pair for make it Congruent.
Thus, None of the Rule is used to prove Congruency in Triangles.
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Answer:
Its Neither
Step-by-step explanation:
Please Help ASAP. No links or files. I will report!
The value of x is 7.
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,
∠TUV = 9x + 1
∠TUW = 7x - 9
∠WUV = 5x - 11
Now,
∠TUV = ∠TUW + ∠WUV
Substituting the values.
9x + 1 = 7x - 9 + 5x - 11
Adding like terms.
9x + 1 = 12x - 20
1 + 20 = 12x - 9x
21 = 3x
Dividing 3 on both sides.
x = 21/3
x = 7
Thus,
x is 7.
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To indirectly measure the distance across a lake, Dominic makes use of a couple landmarks at points � B and � C. He measures � � AD, � � DB, and � � DE as marked. Find the distance across the lake ( � � ) (BC), rounding your answer to the nearest hundredth of a meter.
The distance across the lake is approximately 62.5 meters, rounded to the nearest hundredth of a meter.
To find the distance across the lake (BC), we can use the following formula based on triangle similarity:
BC/AD = DB/DE
Where BC is the distance across the lake, AD is the known direct measurement made by Dominic, DB is the known measurement from point B to the landmark, and DE is the known measurement from point D to the landmark.
Let's assume that AD = 100 meters, DB = 50 meters, and DE = 80 meters. Then we can calculate BC as follows:
BC = (BC/AD) * AD = (DB/DE) * AD
BC = (50/80) * 100
BC = 62.5 meters
So, the distance across the lake is approximately 62.5 meters, rounded to the nearest hundredth of a meter.
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Mr. Winston was selling toilet paper at Ikea. He sold 281 toilet papers in one hour. How much toilet papers did Mr.Winston sell in 5 hours?
Answer:
і мой тоєе если что какти зн
Answer:
In 5 hours he sold around 1405 toilet papers at ikea
A savings account gathers compound interest at a rate of 7% per annum. The amount of money in the account over the first two years is shown below. Copy and complete the expression below for the amount of money in the account after n years
The equation that gives the balance of the account after n years is given as follows:
[tex]A(t) = P(1.07)^t[/tex]
In which P is the initial amount in the account.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the function in thisp roblem are given as follows:
r = 0.07, n = 1.
Hence the function is given as follows:
[tex]A(t) = P(1.07)^t[/tex]
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hank owns a fruit stall he sells 11 apple and 5 oranges for 2.71. one apple costs 16p how much does one orange cost?
Answer:
11*0.16=1.76
2.71-1.76=0.95
0.95/5=0.19
One orange costs 0.19
Step-by-step explanation:
A passenger train and a freight train leave cities 260 mi apart and travel toward each other. The passenger train is traveling
15 mph faster than the freight train. Find the speed of each train if they pass each other after 4 hr.
Step-by-step explanation:
x = speed of the passenger train
x - 15 = speed of the freight train
remember, the passenger train is traveling 15 mph faster than the freight train. that also means the freight train travels 15 mph slower than the passenger train.
we could define the variable also the other way around (x = freight train, x + 15 = passenger train).
speed = distance/time period
distance = speed × time period
so,
x×4 + (x - 15)×4 = 260
because when both trains meet somewhere in the middle, it means that the sum of both of their ways traveled is the whole distance between both cities : 260 miles.
4x + 4x - 60 = 260
8x = 320
x = 320/8 = 40 mph
so, the passenger train traveled at 40 mph.
the freight train traveled at 40-15 = 25 mph.
Prove angle ABC is a right angle
Pleasee help I need ASAP
Answer: A + B = C + D
Step-by-step explanation:
Given sin O
= -√35/6 and angle is in Quadrant IV, what is the exact value of
cos O in simplest form? Simplify all radicals if needed.
The value of trigonometric function be [tex]$\cos (\theta)=-\frac{\sqrt{35}}{6}$[/tex].
What is meant by trigonometric function?A subfield of mathematics called trigonometry is concerned with the study of triangles. It is sometimes known by the colloquial term "trig." In trigonometry, mathematicians look at how triangles' sides and angles relate to one another.
The sine, cosine, and tangent are the trigonometric functions that are employed in modern mathematics the most frequently.
There are many applications for trigonometry and its functions in daily life. For instance, it is employed in astronomy to gauge the distances between nearby stars, in geography to gauge the separations between landmarks, and in the satellite navigation system.
Let the value of sin [tex]\theta[/tex] be -√35/6.
The value of trigonometric function: [tex]$\cos (\theta)$[/tex]
[tex]$=-\frac{\sqrt{35}}{6}$$[/tex]
[tex]$\cos (\theta)=-\frac{\sqrt{35}}{6}$[/tex]
Therefore, the value of trigonometric function be [tex]$\cos (\theta)=-\frac{\sqrt{35}}{6}$[/tex].
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this is from khan academy help...
The simplified form of the expression is given by 4⁹/y³
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here : The exponents (4³/y)³
Simplifying we get
(4³/y)³
When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.
4³ ˣ ³ / y³
4⁹/y³
Thus the simplified form of the expression is given by 4⁹/y³
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Find the missing dimension. Use the scale 2: 5.
2:5
L
Model
Actual
2. Depth: 10 km
3. Length: 5 in.
Depth: _5 km
Length: in.
4. Length:
ft
Length: 24 ft
5. Diameter:
m
Diameter: 32. 5 m
The model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.
What are dimensions?The minimal number of coordinates required to specify each point within a mathematical space (or object) is known as the dimension in physics and mathematics.
Because only one coordinate is required to identify a point on a line, such as a point at 5 on a number line, a line is said to have one dimension (1D).
Because two coordinates are necessary to identify a point on a surface, such as the perimeter of a sphere or cylinder, it is referred to as having a dimension of two (2D).
For instance, a point on the surface of a sphere requires both a latitude and a longitude to be located.
So, we can use a scale of 2:5 as a conversion factor to identify the table's missing dimensions.
For instance, the model's length in the second row is 2 inches, but the real length is 5 inches.
This implies that the model's 1 inch corresponds to the actual object's 5 inches.
The actual depth is 10 5 = 50 km because the model's depth is 10 km.
Since the model's length is not specified in the fourth row, we are unable to determine its true length.
Therefore, the model on the fifth row has a diameter of 32.5 meters, hence the actual diameter is 32.55 = <<32.55=162.5>>162.5 meters.
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Correct question:
Find the missing dimension. use the scale 2: 5.
2:5
l
model
actual
2. depth: 10 km
3. length: 5 in.
depth: _5 km
length: in.
4. length:
ft
length: 24 ft
5. diameter:
m
diameter: 32.5 m
Solve -8(c-1)=-(-3) what is the solution of c?
Answer:
c = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
First, expand the brackets by applying the Distributive Law:
[tex]= -8c + 8 = 3[/tex]
Then bring all the like terms together and isolate c. Move '3' to the left and '8c' to the right: of the equation:
[tex]= 8 - 3 = 8c[/tex]
= [tex]5 = 8c[/tex]
= [tex]c = \frac{5}{8}[/tex]
A company’s stock opened at 68 3/8 dollars per share. The stock dropped 1 7/8 dollars on Monday. The stock dropped another 2 1/2 dollars on Tuesday. On Wednesday, the stock gained back 4 1/4 dollars. brainly
Answer:
273/4
Step-by-step explanation:
We know
A company’s stock opened at 68 3/8 dollars per share
68 3/8 = 547/8
The stock dropped 1 7/8 dollars on Monday
1 7/8 = 15/8
547/8 - 15/8 = 532/8
The stock dropped another 2 1/2 dollars on Tuesday.
2 1/2 = 5/2
532/8 - 5/2 = 532/8 - 20/8 = 512/8
On Wednesday, the stock gained back 4 1/4 dollars.
4 1/4 = 17/4
512/8 + 17/4 = 512/8 + 34/8 = 546/8
546/8 = 273/4
So, the answer is 273/4
A ball is dropped from 2 meters and rises up by 75%
When a ball is droped from 2m heights and rises by 75%, then the height of ball after forth bounce is equals to 0.632 meters.
If an object is thrown from high and has a bouncing feature, each bouncing is less than the initial height until it stops. Each bounce reduces the growth rate until it reaches zero. In order to calculate the height of each bounce, so we can estimate what percentage the object will reach after each bounce. If we get the percentage of each bounce, we can easily determine the height of each bounce. We have, a ball is droped from 2 meters and bounce up to 75%. That is height of first bounce is determined by using percentage, height is 2 m × 75% = 2 m×0.75 = 1.5 m
In second bounce, height is 1.5 m × 75%
= 1.5 m×0.75 = 1.12 m
In third bounce, 1.12 m× 75%
= 1.12 m×0.75 = 0.843 m
In forth bounce, height is 0.843× 75%
= 0.843× 0.75 = 0.632 m
The height the ball reaches on its forth bounce is 0.632 m.
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Complete question :
A ball is dropped from a height of 2 meters and rises up by 75% of its height on each bounce. How high would the forth bounce be?
2. A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles
are square with side lengths 11
3 feet. How many tiles are needed to cover the entire
floor? Show your reasoning.
165 tiles are needed to cover the entire floor of the room.
First, we need to find out the area of the room in square feet. We do this by multiplying the length and width of the room:
12 feet x 15 feet = 180 square feet
Next, we need to find out the area of one tile in square feet. We do this by squaring the length of one side of the tile:
11 3/11 feet x 11 3/11 feet = 128/121 square feet
Now, we can divide the total area of the room by the area of one tile to find out how many tiles are needed:
180 square feet / (128/121 square feet) = 180 x 121/128 = 165 tiles
So, 165 tiles are needed to cover the entire floor of the room.
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Daniel has 53 paintbrushes in his art drawer. This is 25% of the total number of paintbrushes he has. How many paintbrushes does he have in all?
Answer:
Total number of paintbrushes
= 53 ÷ 25%
= 53 ÷ 0.25
= 212
Answer:
If 53 paintbrushes represent 25% of the total number of paintbrushes Daniel has, we can use the following formula to find the total:
total number of paintbrushes = (number of paintbrushes / percentage) x 100
Plugging in the values we know, we get:
total number of paintbrushes = (53 / 25) x 100
Simplifying, we get:
total number of paintbrushes = 212
Therefore, Daniel has a total of 212 paintbrushes in all.
. If gcd(a, b)-p, a prime, what are the possible values of gcd(a2, b2), gcd(a2, b), and gcd(a3, 2)?
The possible values are -
(a²,b²) = p
(a²,b) = p if p|-r and (a²,b) = p² if p|r
(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r
What is gcd?
The greatest common factor (GCF) that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor is another name for it (HCF).
Since (a, b) = p it can be written a = pr and b = ps where r and s are integers such that (r, s) = 1.
Then a² = p²r².
Then by Theorem 1.7, (a²,b) = (p²r²,ps) = p(pr²,s).
By Theorem 1.8, (r²,s) = 1 .
Thus, there are two cases to consider: if p|s then, (a²,b) = p², and if p|-s then (pr²,s) = 1 (Again by Theorem 1.8) so that (a²,b) = p in that case.
Thus, there are two cases for (a²,b): namely p or p².
The same analysis shows that (a³,b) must be either p, p² or p³ depending on the power of p that divides b.
Analyze (a²,b³) as follows.
Using the notation already introduced, and
Theorem 1.7, it is obtained that (a²,b³) = (p²r²,p³s³) = p²(r²,ps³).
Since, (r, s) = 1, Theorem 1.8 shows that (r²,s³) = 1.
Therefore, there are two possibilities for (a²,b³) -
(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r.
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mr . france wants to have a party they want to celebrate . out of all the students in the class , 5 wants a ice cream part , 7 want a movie party , 10 want a costume party , and the rest are undecided , if 20% want a ice cream party , how many students are in the class
Answer:
there is 27 percent In the class
Step-by-step explanation:
you need black bla bla times bla = ur racist
Do you have to multiply one or both equations to use elimination? Explain.
Answer: Depends
Step-by-step explanation: When solving a system using elimination, you may have to multiply both equations by a certain value in order to use the method. However, there are a few instances where you will only need to multiply one. This normally happens when there is a higher multiply representing x or y from one equation to another.
(8h - 4) + (4h to the third power - 8h squared +9h +7)
Answer:
4h^3 - 8h^2 + 17h + 3
Step-by-step explanation:
I put it into my calculator, let me know if that helped!
Solve. Write both set-builder notation and interval notation for the answer.
X/5+4≤3
The solution set is {x|_}
(Type an inequality. Use integers or fractions for any numbers in the inequality.)
The solution set is
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression
Answer: We can solve for x by subtracting 4 from both sides of the inequality:
X/5 + 4 <= 3
X/5 <= -1
Multiplying both sides of the inequality by 5:
X <= -5
The solution set for x can be expressed in set-builder notation as:
{x | x <= -5}
And in interval notation as:
(-∞, -5]
Step-by-step explanation:
The value of x is x≤ -5
What is inequality?inequality, In mathematics is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
greater than is >
less than is <
greater then or equal to is ≥
less than or equal to is ≤
x/5 +4 ≤ 3
collect like terms
x/5 ≤3-4
x/5 ≤ -1
multiply both sides by 5
x ≤ -5
therefore the value of x≤ -5
in interval notation
= infinity < x ≤ -5
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What’s the math discount for $249.99 20% off now 199.99
Small work…
Answer:
The discount amount is $50.00. To calculate the discount, you can multiply the original price by the discount rate (expressed as a decimal), $249.99 * 0.20 = $49.998. Then, subtract the discount amount from the original price: $249.99 - $49.998 = $199.992.
Step-by-step explanation:
ASAP I NEED THIS ASAP
b. Measure the length of the side DF.
c. Measure the height of the triangle, XF.
d. Describe in words the locus of the point that is 2cm from E and draw this onto your diagram.
e. Use compasses to bisect the angle D. You must leave your construction arcs in.
According to the mathematical calculations made, the results are as follows: the length of DF is 3.87 cm, the length of XF is 4.89 cm. The point 2cm from E is 5cm from X and the angle of D is 60°.
What is the length of DF?In this problem, we have to apply the Pythagorean theorem to find the lenght of DF line.
a² + b² = c²
7² + b² = 8²
49 + b² = 64
b² = 15
b = 3.87
How to calculate side XF?In this problem, we have to apply the Pythagorean theorem to find the lenght of XF line.
a² + b² = c²
3² + 3.87² = c²
9 + 14.97 = c²
23.97 = c²
4.89 = c
According to the information of the graph we can conclude that the point 2cm from E is on the line EX, and it is located 2cm from E and 5cm from X.
What is the angle of D?We know that F has a angle less than D so we can infer that F has an angle of 30° and D has an angle of 60° which we can check with a compass.
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an arithmetic sequence with first term 1 and common difference not equal to 0 has second, tenth, and thirty-fourth terms that form a geometric sequence. what is the thirty-fourth term of the arithmetic sequence?
The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.
The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.
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1/2-5/9 please help me I’m struggling so much with it
Answer:
Below
Step-by-step explanation:
To add or subtract fractions they must have a common denominator
you can multiply them together to find A common denominator
2 x 9 = 18
so now yo have to convert the fractions to 18ths
1/2 * 9/9 ( this is just multiplying by '1') = 9/18
5/9 * 2/2 = 10 / 18
now 1/2 - 5/9 then equals 9/18 - 10/18 = (9-10)/18 = - 1/18
A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup? A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup?
The percent markup for the cost of shirt = 50%
Let us assume that the cost of each shirt be x dollars
A department store buys 300 shirts at a cost of $1,800.
Using unitary method the price of each shirt would be,
x = 1800/300
x = 6 dollars
A department store sells 300 shirts for $9 each.
So, Selling price of one shirt = $9
Price markup = Selling price - Cost price
= $9 - $6
= $3
The percent markup would be,
p = (Price markup / cost price) × 100
p = (3/6) × 100
p = 50%
Therefore, the percent markup = 50%
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The speed of sound is 3.43 x 10² meters per second. How far does sound travel in 3.3 x 10-5 second? Write your answer in
scientific notation. Round to the nearest hundredth, if necessary.
Distance: meters
The distance will be 1.1319 × 10⁻¹ meters .
Speed of the sound = 3.43 x 10² meters per second
Time to calculate the distance traveled = 3.3 x 10-5 seconds
Since,
Distance = Speed x Time
Using the values we get:
Distance = 3.43 x 10² * 3.3 x 10-5
Distance = 11.319 × 10⁻³ meters
Since the calculators show the final answer is scientific notation, the above answer in scientific notation would be:
Distance = 1.1319 × 10⁻¹ meters
Hence , the distance will be 1.1319 × 10⁻¹ meters .
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Suppose you know that ∠S and ∠Y are complementary and that m∠S = 5(m∠Y) − 240°. Find m∠Y.
The measure of angle Y, according to the stated statement, is 55 degrees.
What does the term "complementary" mean?An adverb used to describe something which goes together with something else and improves or completes it is complimentary (as in complementary colors)
The total of two complimentary angles is 90 degrees. As a result, we have:
m∠S + m∠Y = 90
Substituting the given equation m∠S = 5(m∠Y) − 240°, we get:
5(m∠Y) − 240° + m∠Y = 90
By merging like variables in the equation, we can reduce it to:
6(m∠Y) - 240° = 90
Adding 240 to both sides, we get:
6(m∠Y) = 330
Dividing both sides by 6, we get:
m∠Y = 55
Therefore, the measure of angle Y is 55 degrees.
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if a state wants each of its license plates to contain any 7 digits, how many different license plates are possible?
There are 10 million possible 7-digit license plates that a state can issue.
This is because each digit position can be filled with any of the 10 digits (0-9), giving us 10 options for each digit position.
By multiplying these 10 options for each of the 7-digit positions,
we get 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10^7.
This amount is sufficient to guarantee that every citizen can have a distinctive license plate number.
It is significant to note that some restrictions, such as those that constitute a profane word or imply an official status, may prevent the issuance of particular license plate numbers.
So there are 10 million possible 7-digit license plates that a state can issue.
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Find the value of k if the graph of y=kx passes through the given point.
A(4,-80)
K=?
The value of k from the equation is k = -20
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = kx be equation (1)
Let the first point be P ( 4 , -80 )
Substituting the values in the equation , we get
-80 = 4k
Divide by 4 on both sides of the equation , we get
k = - ( 80/4 )
On simplifying the equation , we get
k = -20
Hence , the equation is k = -20
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