What is the missing reason in the proof? Statement Reason 1. m || n and p is a transversal 1. given 2. ∠2 ≅ ∠3 2. ver. ∠s theorem 3. m∠2 = m∠3 3. def. of congruent 4. ∠3 ≅ ∠7 4. corr. ∠s theorem 5. m∠3 = m∠7 5. def. of congruent 6. m∠2 = m∠7 6. ? corresponding angles theorem alternate interior angles theorem transitive property subtraction property
Answers
Answer:
See below for answer.
Step-by-step explanation:
m ∠3 = m∠ 7 If ║ then cor. ∠s are =
m ∠2 = m∠7 Transitive ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7
The missing reason is : transitive property.
What is Transitive property?A transitive relation is defined as a homogeneous relation R over the set A, where the set contains the elements such as x, y and z, such that R relates x to y and y to z, then R also relates x to z.
As in statement 3 we have,
∠2 = ∠3
and in statement 5 we also have
∠3 = ∠7
So, by using transitive property we can write,
If a = b and b = c,
then a = c
Hence, m∠2 = m∠7 using transitive property.
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Related Questions
The attachment contains the question.
Answers
If you can’t still figure it out let me know and i’ll work it out & give you the answer.
I meant 18 ………………………….
Answers
Answer:
6 cats
Step-by-step explanation:
first we can find 2/3 of 18
2/3*18
36/3
12 cats are brown so now since there are 18 cats in total we subtract that from 12 to see how many are not brown
18-12
6 cats are not brown
Hopes this helps please mark brainliest
Answer:
1.) For the first question, the answer is 12
2.) For the second answer, you are correct, the answer is 55
3.) The third answer is 3/2
Step-by-step explanation:
1.) 18x2/3 = 12
2.) 6x8+7 = 55
3.) 1/2 + 1/2 + 1/2 = 3/2 add the numerators (top part of fraction) ONLY and leave the denominators (bottom part of fraction) ALONE.
Hope this helps, please give brainliest!!
Identify the function that best models the given data
Answers
OPTION D
\(\bold{SOLUTION:}\)
Answer:
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
41 − 18 = 23
67 − 41 = 26
82 − 67 = 15
69 − 82 = −13
17 − 69 = −52
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
26 − 23 = 3
15 − 26 = −11
−13 − 15 = −28
−52 − (−13) = −39
Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.
Third Differences
−11 − 3 = −14
−28 − (−11) = −17
−39 − (−28) = −11
The third differences are approximately the same so we will use a cubic function to represent the data.
Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
solve for q 3(q+4/3)=2
Answers
Answer: Q= -0.6 or -2/3
Step-by-step explanation:
Find the surface area of a square pyramid with side length 3 m and slant height 5 m.
Answers
Information provided with us:
Side length ( a ) = 3mSlant height ( l ) = 5mⳘ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ :
Surface area of square pyramid is given by the sum of areas of all its 4 triangular sides and the square base area. If a is the base side length and l is the slant height , then the surface area of square pyramid is:
ㅤㅤㅤㅤㅤ➙ a² + 2al
Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:
ㅤㅤㅤ➙ A = a² + 2al
ㅤㅤㅤ➙ A = ( 3 ) ² + 2 × 3 × 5
ㅤㅤㅤ➙ A = 9 + 30
ㅤㅤㅤ➙ A = 39m²
~Hence, the surface area of given square pyramid is 39 m².
Answer:
39 m²
Step-by-step explanation:
surface area of square based pyramid = \(a^2+2al\)
(where \(a\) is the side length of the base and \(l\) is the slant height)
Given:
\(a=3\)\(l=5\)⇒ SA = 3² + (2 x 3 x 5) = 39 m²
Find this function after differentiating it 68 times:f(x) = sin (3x)
Answers
Given the function:
\(f(x)=\sin (3x)\)Let's find the function after differentiating it 68 times.
To differentiate, let's take the derivative.
First derivative:
\(\begin{gathered} f\text{'(x)= cos(}3x)\frac{d}{dx}(3x)_{} \\ \\ f^{\prime}(x)=3\cos (3x) \end{gathered}\)Second derivative:
Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:
\(\begin{gathered} f^{\doubleprime}(x)=3\frac{d}{dx}(\cos (3x)) \\ \\ f^{\doubleprime}(x)=3(-\sin (3x)\frac{d}{dx}(3x)) \\ \\ f^{\doubleprime}(x)=-3\sin (3x)(3\frac{d}{dx}(x)) \\ \\ f^{\doubleprime}(x)=-9\sin (3x)\frac{d}{dx}(x) \\ \\ f^{\doubleprime}(x)=-3^2\sin (3x) \end{gathered}\)After the second differentiation, we have -sin, , the same will be applicable to the 68th time.
Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.
\(f(x)=-3^{68}\sin (3x)\)Therefore, after differentiating the function 68 times, we have:
\(f(x)=-3^{68}\sin (3x)\)ANSWER:
\(f(x)=-3^{68}\sin (3x)\)Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
Answers
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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State the property that justifies the following statement.
If 7(x-3)=35, then 35=7(x-3).
Answers
The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.
Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab
Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.
The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.
So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.
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the answer is 120 I need two possible number sentences using division pls
Answers
Answer:
240/2, 360/3
Step-by-step explanation:
240/2 and 360/3 both involve division and both of their answers are equal to 120, assuming these count as number sentences.
What is the area of a triangle with a base of 7 1/2 feet and a height of 8 feet
Answers
Answer:
\(30ft^{2}\)
Step-by-step explanation:
This shows a triangle.
7ft
8ft
What is the area of the triangle?
Answers
The area of the given triangle is 28 squared feet
What is the area of a triangleThe area of a triangle is a measure of the amount of space enclosed by the triangle. It is a scalar quantity, meaning that it is a single numerical value with no direction.
The area of a triangle can be calculated using various formulas, depending on the information available about the triangle.
In this problem, we have the value of base and the height of the triangle.
The formula is given as;
A = 1/2 b * h
Substituting the values into the formula;
A = 0.5 * 7 * 8
A = 28 squared feet
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In a basketball game, Alana scores twice as many points as Taylor. Taylor scores four points fewer than Nancy, and Nancy scores three
times as many points as Molly. If Molly scores 6 points, how many points did Alana score?
Determine your answer by first determining how many points each other player scored:
1. Nancy scores
2. Taylor sco res
3. Alana scores
points.
points.
points.
Answers
1. Molly scores 6 points.
2. Nancy scores three times as many points as Molly, so Nancy scores 3 * 6 = 18 points.
3. Taylor scores four points fewer than Nancy, so Taylor scores 18 - 4 = 14 points.
4. Alana scores twice as many points as Taylor, so Alana scores 2 * 14 = 28 points.
Therefore, Alana scored 28 points in the basketball game.
delivered.
a. What is the constant rate of change? What does it represent?
b. What is the initial value? What might that represent?
Answers
The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given problem can be solved as follows,
(a) The graph given is a straight line that passes through (0, 40) and (10, 240).
The constant rate of change is equivalent to the the slope of the line given as,
⇒ (240 - 40)/(10 - 0) = 20
(b) The initial value of the graph is given as the y-intercept of the line.
Which is given as 40.
It might represent the fixed cost.
Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.
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The missing graph is attached here.
A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent?
Answers
What is the price per ounce, rounded to the nearest cent? $0.29.
its $3.41 (d) because if you around 4 it will be 3 (im rlly bad at explaing stuff im sorry >-<)
Write y=−x2−4x−2 in vertex form by completing the square.
Answers
Answer:
y = -6x - 2
Step-by-step explanation:
Help on problem 2 and 3!
(I already did 1. Stepby step please ASAP!)
Answers
The missing angles ;
22.6°
53.1°
28.1°
Right triangleA right triangle is a type of triangle that has one of its angles measuring 90 degrees (a right angle). The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs or catheti.
We have that;
\(Sin \alpha = 5/13\\ \alpha = Sin-1(5/13)\\ \alpha = 22.6\)
\(Tan \alpha = 16/12\\\alpha = Tan-1 (16/12)\\= 53.1\)
\(Sin \alpha = 8/17\\\alpha = Sin-1(8/17)\\\alpha = 28.1\)
Right triangles have many practical applications, such as in trigonometry, engineering, and architecture.
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Bob's Gift Shop sold 600 cards for Mother's Day. One salesman, Tariq, sold 2% of the cards sold for Mother's Day. How many cards did Tariq sell?
Answers
Answer: Tariq sold 12 cards.
Step-by-step explanation:
First, a percent divided by 100 becomes a decimal.
2% / 100 = 0.02
Next, we need to find 2% of 600 cards. In mathematics, "of" means multiplication. We will multiply.
0.02 * 600 cards = 12 cards
Tariq sold 12 cards.
Please help i'm struggling with this!It's urgent!
Answers
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
a researcher conducts an experiment comparing two treatment conditions and obtains 20 scores in each treatment. which design would require the smallest number of subjects?
Answers
Repeated-measures design would require the smallest number of subject
What is meant by Repeated-Measures design?Repeated-measures design: Repeated measures design is a research design that involves multiple measures of the same variable taken on the same or matched subjects either under different conditions or over two or more time periods. For instance, repeated measurements are collected in a longitudinal study in which change over time is assessed
given that, a researcher conducts an experiment comparing two treatment conditions and obtains 20 scores in each treatment
Repeated-measures design would require the smallest number of subjects
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Express the ratio below in its simplest form
12:6
Answers
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1
P = 4x + 3y
x = 5
y=-2
(a) Work out the value of P.
(b) Expand 4e(e + 2)
Answers
Answer:
P=4×5+3×-2
P= 20x-6y
4e²+8e
A salesperson’s ratio of successful signups to the number of people called is 0.125. This month, the salesperson has 25 signups. How many people did the salesperson call this month.
Answers
Answer:
Let's assume the number of people called is "x".
The ratio of successful signups to the number of people called is 0.125, which can also be written as 1/8. Therefore, the number of successful signups can be expressed as (1/8)x.
We know that the salesperson has 25 signups this month, so we can write the equation as:
(1/8)x = 25
To solve for x, we can multiply both sides by 8:
x = 200
Therefore, the salesperson called 200 people this month.
ABC is an isosceles triangle in which ab and ac are equal if d is a the midpoint of BC prove that ABD=ADC
Answers
Answer:
Step-by-step explanation:
Given that,
ABC is an Isosceles triangle.
In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.
It is als given that D is the mid point of BC.
i.e., BD = CD
Therefore,
By SAS theorem of congruency of triangles,
ABD = ACD
If this is the answer required, hope it helps...
Triangles UVW and WXY are similar right triangles. Which proportion can be used to show that the slope of uw is equal to the slope of wy ?
a: 1-2 -3 - ( -1 )
9-8 1-2
b: 2-8 -1-2
1-9 -3-1
c: 1-9 -3-1
2-8 -1-2
d: 2 - ( -1 ) -1 - ( -3 )
9 -8 2 -1
Answers
The proportion that can be used to show that the slope of uw is equal to the slope of wy is B) 2-8 -1-2.
Let the angles opposite to sides UV, VW, and WU be denoted by theta1, theta2, and theta3, respectively, in triangle UVW. Similarly, let the angles opposite to sides WY, YX, and XW be denoted by theta4, theta5, and theta6, respectively, in triangle WXY. Since triangles UVW and WXY are similar right triangles, we have:
theta1 = theta4 = 90 degrees (both triangles are right triangles)
theta2 = theta5 (corresponding angles in similar triangles are equal)
theta3 = theta6 (corresponding angles in similar triangles are equal)
UW/VW = WY/YX (sides in similar triangles are proportional)
The slope of uw is given by the rise over run or (VU - UW)/(WV), and the slope of wy is given by the rise over run or (XY - WY)/(YW). Using the similar triangles proportion, we can substitute UW/VW = WY/YX and simplify to get (VU - UW)/(WV) = (XY - WY)/(YW). This equation shows that the slope of uw is equal to the slope of wy.
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The diameter of a circle is 12 kilometers. What is the length of a 150° arc? d=12 km
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
diameter = 12 km
angle = 150°
lenght arc = ?
Step 02:
length arc = (angle / 360) 2πr
r = 6 km
\(lengtharc=\frac{150}{360}(2\pi6)\text{ }\)length arc = 15.71 km
The answer is:
The length of the arc is 15.71 km.
-23/20 in a decimal form
Answers
Answer:
-1.15
Step-by-step explanation:
To change a fraction into decimal form divide the numerator by denominator.
Take away the negative so:
23/20
So 23/20 = 1.15.
Put back the negative:
-1.15
The answer is -1.15
LaDawn needed wire for her Halloween wreath. How many 1/4 inch pieces can be cut from a piece of wire that is 5/8 inches long?
Answers
The length of each piece of wire is 2.5 inches.
What are fractions?Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It specifies how many identically sized pieces of the entire event or collection were collected. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed. A fraction can be expressed in one of three different ways: as a fraction, a percentage, or a decimal. The first and most popular way to express a fraction is in the form of the letter ab. Here, a and b are referred to as the numerator and denominator, respectively.
Let the number of pieces = x
The length of the wire = 5/8 inches
The length of one piece of wire = 1/4 inch
According to the question,
1/4 x = 5/8
So, x = 5/8 × 4
x = 20/ 8
x = 5/2
x = 2.5 inch
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how many people can fit in a small house?
20
40
60
80
Answers
Answer:
its depends but my prediction is 40
Step-by-step explanation:
Factor-8x^3-2x^2-12x-3 by grouping
Answers
Answer:
\(=-\left(4x+1\right)\left(2x^2+3\right)\)
Step-by-step explanation:
\(-8x^3-2x^2-12x-3\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(8x^3+2x^2+12x+3\right)\\\mathrm{Factor}\:8x^3+2x^2+12x+3:\quad \left(4x+1\right)\left(2x^2+3\right)\\8x^3+2x^2+12x+3\\=\left(8x^3+2x^2\right)+\left(12x+3\right)\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}12x+3\mathrm{:\quad }3\left(4x+1\right)\\12x+3\\\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4\\=3\cdot \:4x+3\\\mathrm{Factor\:out\:common\:term\:}3\\=3\left(4x+1\right)\)
\(\mathrm{Factor\:out\:}2x^2\mathrm{\:from\:}8x^3+2x^2\mathrm{:\quad }2x^2\left(4x+1\right)\\8x^3+2x^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\=8xx^2+2x^2\\\mathrm{Rewrite\:}8\mathrm{\:as\:}2\cdot \:4\\=2\cdot \:4xx^2+2x^2\\\mathrm{Factor\:out\:common\:term\:}2x^2\\=2x^2\left(4x+1\right)\\=3\left(4x+1\right)+2x^2\left(4x+1\right)\\\mathrm{Factor\:out\:common\:term\:}4x+1\\=\left(4x+1\right)\left(2x^2+3\right)\\=-\left(4x+1\right)\left(2x^2+3\right)\)
Transcribed image text: Find the flux of the vector field F = 〈e-z,42,6xy) across the curved sides of the surface S = {(x,y,z): z= cos y, lys π, 0sxs4} . Normal vectors point upward. Set up the integral that gives the flux as a double integral over a region R in the xy-plane. F-nds = dA (Type exact answers.)
Answers
The integral that gives the flux as a double integral over a region R in the xy-plane is F-nds = ∫∫R 6xy dA
To find the flux of the vector field F across the curved sides of the surface S, we need to evaluate the surface integral of F dot dS.
The flux integral can be written as:
Flux = ∬S F · dS
To set up the integral, we need to express the surface S in terms of the parameters u and v that parameterize the region R in the xy-plane.
Given that z = cos(y), we can express the surface S as:
S(u, v) = (u, v, cos(v))
where 0 ≤ u ≤ 4 and 0 ≤ v ≤ π.
Now, we need to calculate the normal vector dS.
The normal vector to the surface S can be calculated by taking the cross product of the partial derivatives of S with respect to u and v:
dS = (∂S/∂u) × (∂S/∂v)
∂S/∂u = (1, 0, 0)
∂S/∂v = (0, 1, -sin(v))
Taking the cross product, we get:
dS = (0, 0, 1)
Now, we can calculate the flux integral as:
Flux = ∬R F · dS
Substituting the values of F and dS:
Flux = ∬R <e^(-z), 42, 6xy> · <0, 0, 1> dA
Since the z-coordinate of the surface S is given by z = cos(v), we can substitute it into the expression for F:
Flux = ∬R <e^(-cos(v)), 42, 6xy> · <0, 0, 1> dA
Simplifying, we have:
Flux = ∬R 6xy dA
Now, the integral is over the region R in the xy-plane, so we can rewrite it as:
Flux = ∫∫R 6xy dA
This gives us the setup for the integral that gives the flux as a double integral over the region R in the xy-plane.
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