Answer:
Step-by-step explanation: It looks like Leo is trying to prove that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle. From the equations given, it seems that Leo is using the fact that the sum of the measures of supplementary angles is 180 degrees, and the sum of the measures of the angles of any triangle is 180 degrees, to try to prove his statement. Some equations that Leo could use to complete his argument might include:
x = p + q, which follows from the equation r + x = 180 and the substitution of p + q + r = 180
p + q = 180 - r, which follows from the equation p + q + r = 180 and the substitution of r + x = 180
x = p + q + 2r, which follows from the equation x + r = p + q + r and the substitution of r + x = 180
It's not clear from the information given whether these equations are sufficient to prove Leo's statement, as we don't have any information about the values of p, q, r, or x. However, these equations might be a good starting point for Leo to continue his argument.
If this trapezoid is moved through the translation (x+3,y-2), what will the coordinates of B be?
The coordinate of the vertex B after the transformation of the given trapezoid is (-2, 2).
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
As per the given graph, the coordinate of vertex B is (-5, 4).
After the translation (x, y) → (x + 3, y - 2), the new coordinate can be obtained as,
(-5, 4) → (-5 + 3, 4 - 2)
⇒ (-2, 2)
Hence, the coordinate of B after the transformation is (-2, 2).
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Graph the image of this figure after a dilation with a scale factor of 3 centered at
(−7, −6). Use the polygon tool to graph the dilated figure. *picture Below*
Answer:
See the picture below
Step-by-step explanation:
You start from the center given (-7,-6), then count how many spaces from the center to that point. Take that number and triple it to find the new point. I drew lines so that you could see the path of two of the points.
The path that I did not draw was from the point (-3,-2). If you start at (-7,-6) you will have to move 4 spaces to the right and 4 spaces up to get to (-3,-2) Now triple that. You will move 12 spaces to the right and 12 spaces up for the new point of (5,6)
3 divided 74.25
Is it possible??
Answer:
No it is not possible, you would have to do 74.25 divided by 3
Step-by-step explanation:
3 divided by 74.25 = 0.0404040404
but
74.25 divided by 3 = 24.75
According to the american dental association, 8% of adults have never had a cavity. A dental graduate student contacts an srs of 1000 adults and calculates the proportion p in this sample who have never had a cavity
The proportion of people who never had a cavity is 0.92.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 8% of adults have never had a cavity. A dental graduate student contacts an srs of 1000 adults.
8% of 1000 is,
= (8/100)×1000.
= 80.
Now, The proportion of people who never had a cavity is (1000 - 80)/100.
= 920/1000.
= 92/100.
= 0.92 proportion of people never had a cavity.
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Write an equation that represents the line. Use exact numbers. hurry please!!
Answer:
y=3/4x-9/2
Step-by-step explanation:
y=mx+c
m=dy/dx
=-3/-4
=3/4
-3=(3/4*2)+c
-3=3/2+c
-9/2=c
What D
Evaluate each expression for the giver
3x² when x is 10
Answer:
3x²
= 3(10)²
= 3(100)
= 300
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
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Translate the answer, t2 = a3, into words: the of the orbital period, t, of a planet is equal to the of the average distance, a, of the planet from the sun
According to the Kepler's third law, the squares of the period of a planet's orbit is proportional to the cube of the semimajor axis.
According to Kepler's third law,
t2 = a3
Kepler's third law compares the orbital period and radius of orbit of a planet to those of other planets. This comparison between period and radius being made is that the ratio of the squares of the periods to the cubes of their average distances from the sun is the same for every one of the planets. It provides an accurate description of the period and distance for a planet's orbits about the sun. The square of the period of a planet's orbit is proportional to the cube of its semimajor axis. Kepler's Third Law depends on the total mass of the two bodies involved.
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Answer:
square and cube is the answers
Step-by-step explanation:
How do you find the y-intercept of a standard form equation?
Answer:
Step-by-step explanation:
ok so standard form is
Ax+By=C
and its actually really simple
when you want to find the y-intercept
set x to 0
it will look something like
A(0)+By=C
By=C
y=C/B
It makes more sense with actual numbers
so
3x+2y=4
3(0)+2y=4
0+2y=4
2y=4
y=2
therefore the y intercept would be 2
for that equation
but you can do the same for x-intercept
just set y to 0
hope this helped :)
How many lines of symmetry does the figure have?
0
1
2
3
Answer:
1
Step-by-step explanation:
because you can only cut it in a certain way that both pieces are the same measurements
What is the product of 5x(x - 8) ?
Answer:
5x^2 - 40x
Step-by-step explanation:
5x (x-8)
5x^2 - 40x
which of the three methods of assigning probabilities is used when we are dealing with sampling (as a method of determining probabilities)? no need to explain.
Random sampling methods of assigning probabilities is used when we are dealing with sampling.
Random sampling is a method of assigning probabilities used when dealing with samples of a population. It involves randomly selecting a sample from the population and then using that sample to estimate the probabilities of different outcomes. This is done by calculating the proportion of the sample that falls into each category. For example, if you are trying to determine the probability of a certain outcome, you would randomly select a sample from the population and then count how many of the individuals in the sample fall into that category. The probability of the outcome would then be calculated by dividing the number of individuals in that category by the total number of individuals in the sample.
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someone with great knowledge of this please help its due asap please help.
Answer: x = 2 hours y= 7 hours = 9 hours a week, 80$ a week
Step-by-step explanation:
5$x2=10$ 10$x7=70$ 70$ + 10$ = 80 $.
hopefully, maybe that helps for the first question.
you round_trip drive to work is 4 3/10 miles how many miles do you drive to and from work in 3 days?
Answer:
12.9 or 12 9/10
Step-by-step explanation:
4 3/10 or 4.3 x 3
12.9 or 12 9/10
At Supercuts, washing a customer's hair takes an average of 3. 5 minutes with a standard deviation
of 1. 2 minutes. Applying conditioner takes an average of 2. 1 minutes with a standard deviation
of. 75 minutes. Assuming both washing and conditioning can be explained using a Normal
model, what is the probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes?
The probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes is 0.63341
In this question we have been given that at supercuts, washing a customer's hair takes an average of 3. 5 minutes with a standard deviation
of 1. 2 minutes. Applying conditioner takes an average of 2. 1 minutes with a standard deviation of. 75 minutes.
μ1 = 3.5, μ2 = 2.1
σ1 = 1.2, σ2 = 0.75
The mean of the sum of the two random variables would be,
μ = μ1 + μ2
μ = 3.5 + 2.1
μ = 5.6
The Standard Deviation of the Sum of Two Independent Random Variables would be,
σ = √(σ1)² + (σ2)²
σ = √(1.2)² + (0.75)²
σ = 1.76
The probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes.
i.e., P(x > 5)
First we find the z-score.
z = X - μ/σ
z = 5 - 5.6/1.76
z = -0.34091
P-value from Z-Table:
P(x<5) = 0.36659
So, P(x>5) = 1 - P(x<5)
= 0.63341
Therefore, the required probability is 0.63341
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A company makes a loss of 2 million dollars in its first year of trading. In the following two years it makes a profit of $625 000 per year. What is the average profit or loss per year made by the company over the three years?
Answer: They lose $250000 per year over the three years!
Step-by-step explanation:
First, find the total profit for the two following years
Take $625000 times 2 = $1250000
Next, find the total they made in 3 years
Take -$2000000 of the first year + $1250000 = - $750000
Now we find their average profit per year
Take -$750000 divided by 3 = -$250000
They lose $250000 per year over the three years
A rectangular yard measuring 40ft by 53ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer. helpppppp plssss for my final
Area of the walk that goea around the rectangular yard is 680 sq. ft.
What is a Rectangle ?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms since their opposite sides are equal and parallel.
The rectangle's characteristics are listed below:
There are four vertices and four sides.Every vertex has an angle of 90 degrees.Equal and parallel sides are on the opposing sides.Intersect each other diagonallyThe perimeter is equal to double the length plus width of the object.the product of its length and width determines its area.It has four right angles and is a parallelogram.All inner angles added together equal 360 degrees.Dimension of the yard is
width = 40 ft
length = 53ft
Dimension of the yard without the walkway is
Width =40 - 4*2 = 40 - 8 = 32 ft
Length = 53 - 4*2 = 53 - 8 = 45 ft
Area of the yard = Width * Length = 40 * 53 = 2120 sq. ft
Area of the yard wtihout the walk = 32 * 45 = 1440 sq. ft
Therefore the area of the walk is = Area of yard - Area of yard without walk = 2120 = 1440 = 680 sq. ft.
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a spherical balloon is being filled with air at a constant rate of . at what rate is the surface area increasing when the volume is
The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere. This means that the surface area of the balloon is increasing at the rate of 8πr cm^2/sec.
The volume of a sphere is given by the formula 4/3πr^3, where r is the radius of the sphere. If the radius of the balloon is 6 cm, then the volume of the balloon is (4/3)π(6^3) = (4/3)π216 = 288π cm^3.
To find the rate at which the volume of the balloon is increasing, we need to take the derivative of the formula for the volume of a sphere with respect to time. This gives us (4/3)π(3r^2)(dr/dt).
Since the radius of the balloon is 6 cm and the surface area of the balloon is increasing at the rate of 8πr cm^2/sec, the rate at which the radius of the balloon is increasing is (8πr/4πr^2) = 2/r = 2/6 = 1/3 cm/sec.
Plugging this into the formula for the rate of change of the volume of the sphere, we get
(4/3)π(3r^2)(dr/dt) = (4/3)π(36^2)(1/3) = (4/3)π108 = 144π cm^3/sec.Therefore, the volume of the balloon is increasing at a rate of 144π cm^3/sec when the radius of the balloon is 6 cm.
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Complete Question:
The surface area of a spherical balloon is increasing at the rate of 2 cm 2/sec. At what rate is the volume of the balloon is increasing when the radius of the balloon is 6 cm?
Quadrilateral ABCD with vertices A (-3,3), B (8,8), C (6,2), and D (0,0) is shown. You want to reflect quadrilateral ABCD in the vertical
line that passes through the midpoint of CD. Graph the line of reflection and the image after the reflection.
Polygon
here to search
Line
14
13-
12-
11-
10-
9
7
6
5
Undo
Redo
x Reset
13
calculate
gra
The line of reflection and the image of after reflection graph is attached below
What is line of reflection ?
The picture is consistent with the preimage when reflecting a figure in a line or a point. Every point on a figure is translated into an image by a reflection across a set line. The term "line of reflection" refers to the fixed line.
The line of reflection is a line across which an image will reflect. Every point in a figure is said to reflect the other figure if and only if it is equally spaced from every corresponding point in the other figure. The image that is reflected should be identical in size and shape but face the opposite way.
Graph the quadrilateral. By inspection, you can tell where the midpoint is. (see attachment 1)
Now, I'll draw a line through it. (see attachment 2)
To reflect across a line, think about the points traveling across the line the same number of spaces the point is from the line. For example, point A is three away from the line. So, A' will be 3 away from the other side. The coordinates will be at (-3,2). (see attachment 3).
Do the same for the other points, and you'll have your image.
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Kannanaski Rapids drops 62 ft vertically over a horizontal distance of 920 ft. What is the slope of the rapids? a. -0.067 b. -0.001 c. -62 0 d. -14.8
The slope of the rapids is -0.067
Kannanaski Rapids drops 62 ft vertically
The horizontal distance of 920 ft.
tan θ is a commonly used trigonometric function along with other 5 functions. tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.
Slope of Rapids= tanθ= [tex]\frac{y}{x}=\frac{-62}{920} \\[/tex]
=-0.067
Therefore, the slope of rapids is -0.067.
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which statement is not always true when triangle ABC congruent to triangle XYZ
From the given options, option B is the only statement that is not true is ∠C ≅ ∠E.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
If Δ ABC is congruent to Δ DEF, then its corresponding parts must be congruent.
segment AB ≅ segment DE
segment BC ≅ segment EF
segment AC ≅ segment DF
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
Therefore, from the given options, option B is the only statement that is not true is ∠C ≅ ∠E.
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"Your question is incomplete, probably the complete question/missing part is:"
If triangle ABC is congruent to triangle DEF, which statement is not true?
A) Segment AB ≅ segment DE
B) ∠C ≅ ∠E
C) Segment BC ≅ segment EF
D) ∠A ≅ ∠D
Is anyone good at this math
Answer:
x = 3
Step-by-step explanation:
4 + x = 7 Subtract 4 from both sides of the equation
4 - 4 - x = 7 - 4 Simplify
x = 3 X equals 3
Answer:
x = 3
Step-by-step explanation:
4 + x = 7
x + 4 - 4 = 7-4 = 3
x = 3
To solve for x, subtract 4 from both side of the equation. This leaves x by itself on the left side of the equation. Next subtract 4 from 7 to get the solution, x = 3.
Pls help I’ll put in a picture
Answer:
2 < x < 26
Step-by-step explanation:
The length of the side of a triangle must be less than the sum of the lengths of the other two sides of a triangle.
Therefore:
12+14>x
x<26
However, the following must also be true:
x+12>14 (The sum of x and 14 will always be greater than 12 because 14>12, so we don’t need to include that in the inequality)
So, x>2.
This means that the answer is 2<x<26
A group of students is asked if they travel
Students travelling Students not by car
travelling by car 14 to school by car. Here
are the results. 11 a) What percentage of
these students do not travel to school by
car? % No of students b) 14 of these
students travel by car. Number of cars in
one car Some of these travel in the same
car. Fill the missing frequency in the table.
c) Work out the mean number of students
in each car
The percentage of those that don't travel by car will be 44%.
How to calculate the percentage?It's important to note that a percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, 14 students travel by car and 11 don't travel by car. The total number of students will be:
= 11 + 14.
= 25
Therefore, the percentage of those that don't travel by car will be:
= 11 / 25 × 100
= 44%
The percentage is 44%.
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What i the equation of the line that pae through the point (-1,5)(−1,5) and ha a lope of -3
The equation of the line is y = -3x + 2.
What is the slope of a line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are represented by Δy and Δx, respectively.
As a result, m = change in y/change in x = Δy/Δx is the formula for the change in y-coordinate with respect to the change in x-coordinate.
where "m" represents a line's slope.
Given that, the line passes through the point (-1,5) with slope of -3.
The equation of line passes through (x₁, y₁) with slope m is
y - y₁ = m(x - x₁)
Putting x₁ = -1, y₁ = 5 and m = -3.
y - 5 = -3(x - (-1))
y - 5 = -3x - 3
y = -3x + 2
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work out the surface area
Answer:
a = 120 cm2
Step-by-step explanation:
The prism has 5 sides:
2 triangles, base: 3 hight: 4, each
3 rectangles, 3x9, 5x9 and 4x9
Add the areas on each side to the total area:
[tex]a=(2)\frac{(3)(4)}{2} +(3)(9)+(5)(9)+(4)(9)=12+27+45+36[/tex]
[tex]a=120cm^{2}[/tex]
Hope this helps
f(0) = 2. f(n) = f(n-1)+4
The relationship represented is -
A linear
B exponential
C neither
The relationship represented is linear. Where f(0) = 2 and f(n) = f(n-1)+4.
Define linear.A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively. There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation.
Given,
Functions,
f(0) = 2
f(n) = f(n-1) + 4
Equating 0
f(0) = f(0-1) + 4
f(0) = 4
The relationship represented is linear. Where f(0) = 2 and f(n) = f(n-1)+4.
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You buy the following from Walmart:
1 puzzle for $8, 1 TV for $350, 1 cutting board for $9, and 1 blender for $25
What is the Subtotal: $
You have a 10% off coupon, how much do you save: $
What is the new Subtotal: $
Sales tax is 5%: $
What is the total: $
4
Answer:
You buy the following from Walmart:
1 puzzle for $8, 1 TV for $350, 1 cutting board for $9, and 1 blender for $25
$8 + $350 + $9 + $25What is the Subtotal: $392You have a 10% off coupon,
392 * 0.1 = $39.2How much do you save: $39.2What is the new Subtotal:
$392 - $39.2 = $352.8$352.8Sales tax is 5%: $
352.8 * 0.05 = $17.64$17.64What is the total:
$352.8 + $17.64 = $370.44$370.44Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Paul pent $72 on 4 day-lilie and 7 geranium. Megan pent $128 on 10 day-lilie and 11 geranium. Find the cot of one day-lily and the cot of one geranium
The cost of one day-Lilly is found to be $4 and the cost of one geranium is found to be $8. Therefore, Paul spent about $16 for day-Lilly and $56 for geranium. And Megan spent about $40 for day-Lilly and $88 for geranium.
Two or more algebraic equations that have a common variable and are solved simultaneously are referred to as simultaneous equations. We can find the answers to both unknowns if we have two separate equations with the same two unknowns in each. Here, we'll employ the addition-and-subtraction or elimination method.
Let's consider the cost of day-Lilly as x and the cost of geranium as y. The cost spent by Paul is written as 4x+7y=$72 and Megan is written as 10x+11y=$128.
Solving these two equations for x and y,
[tex]\begin{aligned}40x+70y = \$720\\\underline{40x+44y=\$512}\\26y=\$208\\y=\$8 \end{aligned}[/tex]
Substitute the value of y in equation 4x+7y=$72 to get the value of x,
[tex]\begin{aligned}4x+7(8)&=\$72\\4x&=\$16\\x&=\$4\end{aligned}[/tex]
The answers are $4 and $8.
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Joe asked a bank teller to cash a $570 check using $20 bills and $50 bills, If the teller gave him a total of 15 bills, how many of each type of bill did he receiver
Answer:
9 $50 bills and 6 $20 bills
Step-by-step explanation:
Let f = number of $50 bills.
Let t = number of $20 bills.
f + t = 15
50f + 20t = 570
f = 15 - t
50(15 - t) + 20t = 570
750 - 50t + 20t = 570
-30t = -180
t = 6
f + t = 15
f + 6 = 15
f = 9
Answer: 9 $50 bills and 6 $20 bills