Given: Angle1 and Angle2 are supplements, and Angle3 and Angle2 are supplements.
Prove: Angle1 Is-congruent-to Angle3
Three separate angles are shown. They are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the definition of
angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles
is 180 degrees. By the
property, mAngle1 + mAngle2 = mAngle3 + mAngle2. Subtract the measure of angle
from each side. You get mAngle1 = mAngle3, or Angle1 Is-congruent-to Angle3, by the definition of congruence.
Answers
The missing parts of the proof of supplementary angles are:
Supplementary; ∠2 and ∠3; substitution; 2.
How to Identify the supplementary angles?Supplementary angles are defined as angles whose measures sum to 180°. Thus this is the first answer.
Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.
We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.
To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.
Read more about Supplementary angles at: https://brainly.com/question/12919120
#SPJ1
Related Questions
Can someone helllllp? 20 points
Answers
Step-by-step explanation: 6 4 17 26
1) BC = 10 twice DC
2) x = 174 360 - 46 - 66 - 74 = x
3) x = 125 360 - 47 - 98 - 90 = x
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
Answers
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
For more question on expression
https://brainly.com/question/1859113
#SPJ8
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
Answers
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
Learn more about solutions to the system of inequalities here:
https://brainly.com/question/16339562
#SPJ1
help me please with the question I will mark BRAINLIEST
Answers
Answer:
4^126^78^57^3Step-by-step explanation:
apply the indices law
multiple means additiondivision means subtraction you are suppose to add the powers or subtract where necessary4^9x 4^3= 4^56^5x6^2=6^78^6÷8=8^57^8÷7^6=7^2What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
8/9+ (-5/6) divided by 1/6
Answers
Answer:
fraction answer: 3/4
decimal answer: 0.75
Which term describes sq
Answers
Answer:
angle bisector
Step-by-step explanation:
In the picture shown in the question, the line segment SQ would be considered the angle bisector. This is because it is dividing the interior angles' opposite side into two line segments. Hence the line segments PQ and QR. The angle bisector divides the opposite side into line segments that are proportional to the other two sides of the triangle which in this case can be seen by the top left indication in the picture stating that PQ and QR are the same.
The error function, or erf, is defied as x
erf(x)=2/π ∫ e^-u^2 du
0
The error function cannot be written in terms of elementary functions; this is the simplest way to write it. Do a substitution, changing the limits of integration, to write the following integral as aerf(bx), where a and b are constants. Fill in the blanks with these constants. x
∫ e^-5t^2 dt =| ___ erf ( ___ x)|
0
Answers
As per the error function, \(\int e^{-5t^2} dt\) is a erf(bx) | = 0
To illustrate this concept, let us consider the integral ∫ e^(-5t²) dt with limits of integration from 0 to x. We can rewrite this integral in terms of the error function by making the substitution u = √5t, which gives us du/dt = √5 and dt = du/√5. Thus, the integral becomes ∫ (e^-u²) (du/√5), with limits of integration from 0 to √(5x²).
Next, we can express the integrand as e^(-u²) = (2/√π) ∫ e^(-v²) dv, which follows from the standard result that ∫ e^(-x²) dx = √π/2. Substituting this expression into our integral, we obtain:
∫ (e^-u²) (du/√5) = (2/√(5π)) ∫ ∫ e^(-v²) du dv,
with limits of integration from 0 to √5x and 0 to u, respectively. Interchanging the order of integration, we get:
∫ (e^-u²) (du/√5) = (2/√(5π)) ∫ ∫ e^(-v²) dv du
= (2/√(5π)) ∫ e^(-v²) (u=0 to u=√5x) dv
= (2/√π) ∫ e^(-5x²) dx.
Therefore, we have shown that the integral ∫ e^(-5t²) dt with limits of integration from 0 to x can be expressed as:
| (2/√π) ∫ e^(-5x²) dx = a erf(bx) |,
where a = √(2/π) and b = 1/√5. Here, erf(bx) denotes the error function evaluated at the argument bx.
To know more about function here
https://brainly.com/question/28193995
#SPJ4
Which statement best explains whether the following table represents a linear or nonlinear function?
x −2 −1 0 1 2
y −4 −2 0 2 −2
A - The table represents a nonlinear function because there is not a constant rate of change in the output values.
B - The table represents a nonlinear function because there is not a constant rate of change in the input and output values.
C - The table represents a linear function because there is a constant rate of change in the input and output values.
D - The table represents a linear function because there is not a constant rate of change in the input and output values.
Answers
The correct option is,
The table represents a linear function because there is not a constant rate of change in the input and output values.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table is shown in figure.
Now,
For Table;
The equation of line is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - (-4) = (-2 - (-4)) / (- 1 - (-2)) (x - (-2))
⇒ y + 4 = 2/1 (x + 2)
⇒ y + 4 = 2 (x + 2)
⇒ y + 4 = 2x + 4
⇒ y = 2x
Thus, The table represents a linear function because there is not a constant rate of change in the input and output values.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
2:15, 3:47, 5:19, 6:51, ?
7:23
8:47
7:32
8:23
Which one comes next?
Answers
The ratio that comes next in the sequence is 8:23.
Definition of a ratioRatio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value.
How to determine the numbers that come nextLooking at the first ratio in the sequence, the number on the left increases by 1 in the second ratio. In the second ratio, the number on the left increases by 2 and for the third ratio. The difference between the third and fourth ratio is 1 for the number on the left. This shows that the sequence for the numbers on the left is 1, 2, 1. Thus the next number would increase by 2.
Looking at the first ratio in the sequence, the number on the right increases by 4 in the third ratio. In the fourth ratio, the number on the right increases by 4 when compared with the third ratio. This shows that the sequence for the numbers on the right is an increase by 4.
To learn more about ratios, please check: https://brainly.com/question/25927869
28. Four cones have the dimensions shown below. Figure 1 Figure 2 Figure 3 Figure 4 14 in. 13 in. 10 in. 12 in 8 in. 9 In. 7 In. 6 In. Sort the cones from least to greatest volume Round to the nearest tenth. Figure Volume (in) Least Greatest
Answers
Consider that the Volume of a cone (V), which has a height (h) and radius (r) is given by,
\(V=\frac{1}{3}\pi r^2h\)Figure-1
Given that the radius is 8 in. and the height is 14 in. the volume is calculated as,
\(\begin{gathered} V_1=\frac{1}{3}\pi(8)^2(14) \\ V_1=\frac{896}{3}\pi \\ V_1=938.289 \end{gathered}\)So the volume of this cone is 938.289 cubic inches approximately.
Figure-2
Given that the radius is 9 in. and the height is 13 in. the volume is calculated as,
\(\begin{gathered} V_2=\frac{1}{3}\pi(9)^2(13) \\ V_2=351\pi \\ V_2=1102.699 \end{gathered}\)So the volume of this cone is 1102.699 cubic inches approximately.
Figure-3
Given that the radius is 7 in. and the height is 10 in. the volume is calculated as,
\(\begin{gathered} V_3=\frac{1}{3}\pi(7)^2(10) \\ V_3=\frac{490}{3}\pi \\ V_3=513.127 \end{gathered}\)So the volume of this cone is 513.127 cubic inches approximately.
Figure-4
Given that the radius is 6 in. and the height is 12 in. the volume is calculated as,
\(\begin{gathered} V_4=\frac{1}{3}\pi(6)^2(12) \\ V_4=144\pi \\ V_4=452.389 \end{gathered}\)So the volume of this cone is 1102.699 cubic inches approximately.
Observe the volume values obtained for all four cones,
\(\begin{gathered} 452.389<513.127<938.289<1102.699 \\ \Rightarrow V_4Thus, the order of least to greatest volume is, figures 4, 3, 1, 2 respectively.You need to purchase rolls of sod grass for a client's lawn, which is 75 feet by 100 feet. The large rolls of sod grass are 116 feet by 42 inches. How many rolls of
sod grass do you need for the lawn?
Answers
The number of sod grasses needed is about one and half for the clients lawn
1 1/2 sod grasses
Area of RectangleGiven Data
Size of clients LawnLength = 75 feetWidth = 100 feetArea of client's Lawn = Length * Width
= 75*100
= 7500 square feet
Size of large rolls of sod grass
Length = 116 feetWidth = 42 feetArea of large rolls of sod grass = Length * Width
= 116*42
= 4872 square feet
The number of sod grass needed
= 7500/4872
= 1.53
Learn more about rectangles here
https://brainly.com/question/25292087
I'm not dead lol
I'm still here
Answers
Answer:
29
Step-by-step explanation:
trust
Answer: okay good!!!!!!
help me out with this question please...this is a practice question
Answers
Answer:
hope this helped, can i have brainliest please? :))
Step-by-step explanation:
mean - 6.5 mean=average, to find the average, you add up all of the number then divide by the quantity of numbers there are.
median - 6 and 7 so 6.5 median= number in the middle
Chic-ken Rulez is a food vendor at the state fair that only sells complete box meals which includes a sandwich (chicken or turkey), fries, and drink. Customers walk up to the counter at Chic-ken Rulez and place an order.The counter employee enters the order into the system which is displayed on several screens for all other employees to see the items that need to be made. In the kitchen sandwich makers assemble the selected sandwich once it displays on the order screen. The fry master will cook, salt, and scoop the ordered fries into a cup. Meanwhile, the employee that took the order, will prepare the requested drink. Once the sandwich and fries are complete, they are place in a window where the counter employee places all items in a box and delivers it to the customer. Taking the order and entering it into the system takes 5 minutes. Once entered, the display screens instantly show the items to be made. The counter employee then takes an average of 3 minutes to make a drink. On average, it takes sandwich makers 8 minutes to complete a sandwich and place in the pick-up window. The fry maker takes 12 minutes on average to complete a cup of fries and place in the pick-up window. It takes the counter employee 10 minutes to box all items and hand to customer for delivery. All times listed are flow times for each activity and include the effects of waiting.1) Draw a process map/flowchart for the above process and Label it Process #1Chic-ken Rulez wishes to improve the process by reducing the time to deliver a meal box. Customers often make an order and leave the counter area to find seating. This is the root cause for delivery times being so long because on average a customer's meal order is called 3 times before it is actually picked up which completes delivery.To reduce the process time, Chic-ken Rulez is going to provide customers with a miniature plastic chicken with a GPS tracker inside at the time of the order. The order process is the same except now the box and delivery activity will be two separate activities. Delivery is now performed by food runners that use a handheld device to locate the GPS plastic chickens, collect the plastic chicken for re-use, and deliver a customer’s ordered meal box.It now takes 2 minutes to box a meal. Based on preliminary tests, the average time to locate a GPS plastic chicken and deliver a meal box in the food area takes 7 minutes.2) Draw a process map/flowchart for the above modified process and Label it Process #2
Answers
Answer:
This answer was provided through an attachment since it basically involves drawing a flow diagram.
Step-by-step explanation:
the question requires that we draw a flow diagram of the time and process of taking an order, making a drink, fixing a sandwich and also making fries.
please check the attachment for the processes #1 and #2.
the net process time minute for process#1
5+12+10 = 27 minutes
the net process time minute for process# 2
5 + 12 + 2 + 7
= 26 minutes
6m + 2(6 + 7m)=-128
How do I solve this step by step
Answers
Answer:
M = 7
Step-by-step explanation:
6m + 2(6 + 7m) = -128
6m + 12 + 14m = -128
20m + 12 = -128
Subtract 12 both sides
20m = 140
Divide by 20 both sides
M=7
The ratio of the length to breadth
of a room is 7:5. Find the length
of the room if the breadth is
10m
Answers
Answer:
14m
Explanation:
10 ÷ 5 = 2
2 × 7 = 14
An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?
$36
$52
$76
$98
Answers
Answer:
$76.
Step-by-step explanation:
Please help me.
1. Reflect triangle PQR over the y-axis. Then, describe what happened to each of the coordinates.
2. Reflect your new triangle P’Q’R over the x-axis. Describe what happened to each of the coordinates
Answers
Answer:
make dot in the 2,2 8,2 and 5,7 and join the dots
HELP PLEASE ITS ON EDGE
Answers
it might be adding by 2’s in x.
7+2=9
9+2=11
11+2=13
and for y it might be going by 1’s.
16. 17. 18. 19.
i’m not that sure if it’s C.
Expand 3a(a- 4b) pls help
Answers
Hey there!
All you have to do is DISTRIBUTE
Here’s the formula:
a(b + c) = a(b) + a(c) = ab + ac
NOW LETS SOLVE FOR YOUR QUESTION
• 3a(a – 4b)
• 3a(a) + 3a(4b)
• 3a(a) = 3a² ⬅️ FRONT number
• 3a(4b) = 12ab ⬅️ BACK number
• Answer: 3a² + 12ab ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
how would i anwser this? help pls!
Answers
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs
Answers
Answer:
Step-by-step explanation:
a maximum or minimum occurs where the derivative equals zero
f(x) = -2x² + 14x - 10
f'(x) = -4x + 14
0 = -4x + 14
4x = 14
x = 3.5
f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
(16x-8)
4. Expanded form
Answers
Answer:
The expanded form of (16x-8) is 16x - 8.
Step-by-step explanation:
In mathematics, the expanded form of a mathematical expression is a way of writing out the terms of the expression using their full definitions.
For example, the expression (16x - 8) can be written in expanded form as 16x - 8. This is because the expression consists of two terms: 16x and -8. The term 16x represents the product of 16 and x, while the term -8 represents the negative of 8.
In general, the expanded form of a mathematical expression is obtained by writing out each term in the expression using its full definition, rather than using abbreviations or symbols. This can be helpful for understanding the structure of an expression and how it is derived.
For lunch, I ate a toasted cheese sandwich and it has 450 calories and 16g protein with some baked potato fries and it has 230 calories and 3g protein. How much protein and calories did I eat in all?
Answers
Answer:
Give the person above me brainliest
Step-by-step explanation:
Help me out plz. Struggling :( 5 and 4
Answers
Answer:
#5 = $676.40
#6 = $522.50
Step-by-step explanation:
Lets start with number 5.
Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week
Now for number 6
He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:
Solve for his pay on a normal week:
11 * 40 = 440 a week on a normal week
Find out how much overtime
45-40 = 5 hours
Calculate the pay for the overtime
(11*1.5) x 5 =
16.50 x 5 = 82.5
Add the two pays together
440 + 82.50 = $522.50
also #4 is not provided to me to solve so if you want it solved update this question to include it
Hope this helps :)
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
Answers
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
for more questions on compound
https://brainly.com/question/3989769
#SPJ8
Find the inverse of y = log₂x
Answers
Answer: 2ˣ = y
Step-by-step explanation:
In order to find the inverse of any function, switch the x and the y, then solve for y.
y = log₂x >swap/switch variables and solve for y
x = log₂y >rewrite in exponential form
2ˣ = y
flying against the Jetstream, a jet travels 4260 miles in 6 hours. flying with the Jetstream, the same jet travels 9200 miles in 8 hours. what is the rate of the jet in still air and what is the rate of the Jetstream?
Answers
Hence velocity of the jet in still air is 930 miles per hour and the velocity of wind is 220 miles per hour.
Solution :
flying against the Jetstream a jet travels 4260 miles in 6 hours.
flying with the Jetstream, ] jet travels 9200 miles in 8 hours
Explanation:
Jet's velocity against the wind is
4260/6 = 710 miles per hour
mile per hour and flying with the wind it is
9200 / 8 = 1150 miles per hour.
Mile – Definition with Examples
A customary unit of length equals 5,280 feet. It is equal to 1.6093 km. It is a large unit that is used to denote the distance between cities, length of rivers, and roads.
Let,
the velocity of the jet in still air be x miles per hour
and velocity of wind is y miles per hour.
As such
Velocity against the wind is x−y and
The velocity with wind is x+y and therefore
x− y = 710 and
x + y = 1150
Adding the two
2x= 1860
and
x = 930
and
x− y = 710
930 - y= 710
930-710 = y
220 = y
Hence velocity of the jet in still air is 930 miles per hour and the velocity of wind is 220 miles per hour.
More details: brainly.com/question/24180714
#SPJ9