GUYS HELP!!
Fill in the "???" section in the proof below.
Given: Line AB is perpendicular to BC.
Proof: ∠1 is complementary to ∠2.
A) Definition of interior angles.
B) Definition of a right angle.
C) Definition of supplementary angles.
D) Definition of angles formed by intersecting lines.
Answers
The correct option is B) definition of a right angle.
What is a Triangle?A triangle is a regular polygon, with three sides and the sum of any two sides is always greater than the third side. This is a unique property of a triangle. In other words, it can be said that any closed figure with three sides and the sum of all the three internal angles is equal to 180°.
Given here:
Angle B is a right angle and a right angle is always equal to 90
Hence, The correct option is B) definition of a right angle.
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Answer:
b! hope this helps
Step-by-step explanation:
Related Questions
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
Option D is correct
Step-by-step explanation:
there were no corn muffins sold.
Answer:
No corn muffins were sold at the bake sale :)
Step-by-step explanation:
Lets go thru each answer choice to see why it is incorrect/correct :)
A.
A is incorrect because more cookies were sold than muffins! that is why A is incorrect :)
B.
This calls for adding! lets do that now :)
Chocolate chip: 5
Oatmeal: 1
Peanut: 3
6 + 1 + 3 = 10
10 < 11
10 is not greater than 11 so B is incorrect!! :)
C.
We need to add again so lets do that now!
Corn: 0
Muffin: 2
2 + 0 = 2
2 < 3
2 is less than 3 so C is incorrect!! :)
D.
It is true that 0 corn muffins were sold at the bake sale so D is our answer!! :D
Have an amazing day!!
Please rate and mark brainliest!!
I'LL GIVE YOU BRAINIEST!
1 1/5 · x/3 = 9/10 solve for x
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Solve:}[/tex]
[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}[/tex]
[tex]\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{45}{20}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}[/tex]
[tex]\mathbf{\rightarrow x = \dfrac{9}{4}}[/tex]
[tex]\mathbf{x \approx 2 \dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Question :
1 1/5 . x/3 = 9/10 Solve for xSolution :
>> (5 × 1 + 1 / 5) × (x / 3) = 9 / 10
>> (5 + 1 / 5) × (x / 3) = 9 / 10
>> (6 / 5) × (x / 3) = 9 / 10
>> 6 × x / 5 × 3 = 9 / 10
>> 6x / 15 = 9 / 10
>> 2x / 5 = 9 / 10
>> 2x × 10 = 5 × 9
>> 20x = 45
>> x = 45 / 20
>> x = 9 / 4
Therefore,
Value of x is 9 / 4 !!Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.
The measure of Arc B A C is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2
Answers
The ratio of major to minor arc = 2 : 1
What is a Circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
Calculation
The length of an arc (L) with center angle θ is given by:
L = (θ/360) * 2πr
where r is the radius.
Putting the values in the above formula.
For the major arc:
L = (240/360) * 2πr
For the major arc:
l = ((360-240)/360) * 2πr
l = (120/360) * 2πr
The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1
The ratio of major to minor arc = 2 : 1.
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Answer:c
Step-by-step explanation:
2. There are 10 pieces of paper, numbered
consecutively from 20 to 29, stuffed in a box.
What is the probability of choosing a prime
numbered paper if one piece is chosen at
random?
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Prime numbers between 20 - 29 = 23 and 29.
There are 2 prime numbers out of these 10.
Therefore,
P(choose prime number) = [tex]\frac{2}{10} \\=\frac{1}{5}[/tex]
What is the midpoint of the segment shown below?
Answers
Answer:
The correct answer choice is D
Find the volume of the sphere.
Answers
Answer:
268.08 (268)
Step-by-step explanation:
The volume of a sphere is 4/3*pie*r^3
Jenna collects stamps. She puts the same number of stamps on each page and then inserts each page into one of her two stamp books. One of her stamp books has a total of 840 stamps. The other has 1008. What is the largest number of stamps that Jenna could be putting on each page
Answers
168 is the largest number of stamps that Jenna could be putting on each page
What is the Greatest Common Factor?
The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.
So the largest number of stamps that Jenna could be putting on each page
would be gcd of 1008 and 840.
840 = 2 x 2 x 2 x 3 x 5 x 7
1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.
∴ The Gcd = 2 x 2 x 2 x 3 x 7 = 168.
Hence 168 is the largest number of stamps that Jenna could be putting on each page
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If a problem is 8(2x+4) = 2(1x+3) is the first step done of PEMDAS for THIS SPECIFIC PROBLEM parentheses or multiplication?
Answers
The first step is the parenthesis
How to determine the first step?The equation is given as:
8(2x+4) = 2(1x+3)
Using PEMDAS, the first step is to open the brackets by multiplication.
So, we have:
16x + 32 = 2x + 6
Hence, the first step is the parenthesis
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Joe needs to get to his house, which is 106 miles away in 2 hours. How fast does he need to drive? 48 mph 104 mph 0.019 mph 53 mph
Answers
Answer:
53 mph
Step-by-step explanation:
We need to give the answer in terms of miles per hour. This means that we need to find out how many miles Joe needs to travel in one hour. Therefore, this is a ratio problem.
We can set up a proportion where the unknown variable is the number of miles driven in one hour:
[tex]\frac{106}{2} =\frac{x}{1}[/tex]
x is just 106/2, or 53. Therefore, Joe needs to travel 53 mph
√
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values
represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
0
15
30
0
3
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10,2)
(40,9)
(50,38)
(100, 76)
Mark this and return
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Answers
The additional set of values which could be included in the table is; (10,2).
Which additional set of values can be included in the table?As evident in the task content, it follows that for a 15 unit increase in x, depth, there is a 3 unit increase in y, pressure.
On this note, it follows that with each 5 unit increase in x corresponds to 1 unit increase in y.
And ultimately, at x = 10, y = 2 × 1 = 2.
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What is the range of the function shown on the graph
Answers
Answer:
[tex]y \geq - 6[/tex]
Step-by-step explanation:
the range is all the y values shown in the graph, so as you can see, the y values are all those greater than or equal to -6
Question 5 of 15
What would be the best first step in solving this system
x²-3x + 2y = -4
y = 3x + 2
Answers
Now you can equate it with second one to get x
Answer:
Substitute y = 3x + 2 into x² - 3x + 2y = -4
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}x^2-3x+2y=-4\\y=3x+2\end{cases}[/tex]
Since y is already isolated in the second equation, the best first step would be to substitute the second equation into the first equation, then solve for x.
Substitute equation 2 into equation 1:
[tex]\implies x^2-3x+2(3x+2)=-4[/tex]
Expand the brackets and simplify so that the equation equals zero:
[tex]\implies x^2-3x+6x+4=-4[/tex]
[tex]\implies x^2+3x+4+4=0[/tex]
[tex]\implies x^2+3x+8=0[/tex]
Now use the Quadratic Formula to solve for x.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Define the variables:
[tex]\implies a=1, \quad b=3, \quad c=8[/tex]
Substitute the values into the formula and solve for x:
[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(8)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1 \cdot 23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1}\sqrt{23}}{2}[/tex]
Remember that [tex]i^2=-1[/tex]
[tex]\implies x=\dfrac{-3 \pm i\sqrt{23}}{2}[/tex]
Therefore, the solutions to the system of equations are:
[tex]x=\dfrac{-3 + i\sqrt{23}}{2}, \quad \dfrac{-3 - i\sqrt{23}}{2}[/tex]
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A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32. 1. How much do you think a bus containing 30 people would be charged?
Answers
The charges of entrance fee for a bus containing 30 people is $98
Equationlet
Fixed charge = xAdditional charge per person = yNumber of person = mCharges For 2 people = mx + y
14 = 2x + y
Charges For 4 people = mx + y
20 = 4x + y
14 = 2x + y
20 = 4x + y
subtract both equation20 - 14 = 4x - 2x
6 = 2x
x = 6/2
x = 3
Substitute x = 3 into
14 = 2x + y
14 = 2(3) + y
14 = 6 + y
14 - 6 = y
8 = y
Charges For 8 people = mx + y
= 8(3) + 8
= 24 + 8
= $32
Therefore,
Charges For 30 people = mx + y
= 30(3) + y
= 90 + 8
= $98
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During the month of May there were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths. The newborn death rate is
Answers
During the month of May, there were 130 births, of which the newborn death rate is 38.4615.
According to the question,
There were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths.
In order to find the newborn death rate we have the formula:
= [tex]\frac{number of death under 28 days of age }{Total live births in the same year}[/tex] × 1000
= [tex]\frac{5}{130}[/tex] × 1000
=[tex]\frac{5000}{130}[/tex]
=38.4615
Hence, the new born death rate is 38.4615.
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Solve to find the value for x in the linear equation: 3(−4x 5) = 12. 1. use the distributive property: 2. use the subtraction property of equality: 3. division property of equality: 3(−4x) 3(5) = 12 −12x 15 = 12 −12x 15 − 15 = 12 − 15 −12x = −3 x =
Answers
Answer:
1/4
Step-by-step explanation:
I think that you forgot the addition or the subtraction sign between -4x and 5. I will assume that it was an addition sign
3(-4x+5) = 12 Multiply everything in the parentheses by 3
-12x + 15 = 12 Subtract 15 from both sides
-12x = -3 Divide both sides by -12
x = -3/-12 = 3/12 =1/4
Which of the following ordered pairs is a solution of the system?
x + 3y = 12
y-x=12
Answers
Answer:
Step-by-step explanation:
Step by step
We have two equations
I like to label them first
x + 3y = 12 we will call A
y - x = 12 we will call B
I like to have the equations be in y intercept form to make the math easier
So I will change equation A to
3y = -x + 12
and change B to
y = x + 12
Now we will substitute the value of y of equation B into equation A
3(x + 12) = -x + 12
distribute
3x + 36 = -x + 12
now Isolate x on one side by adding x to both sides
3x + x + 36 = -x + x + 12
Combine like terms
4x + 36 = 12
Now subtract 36 from both sides to isolate x
4x +36 -36 = 12 - 36
Combine terms
4x = -24
Now solve for x by dividing both sides by 4
4/4x = -24/4
x = -6
Now to find y
Substitute your x value into equation B
y = x + 12
y = -6 + 12
y = 6
So your answer is (-6 , 6)
Check your work with equation
x + 3y = 12 from the original question
Substitute x and y values
-6 + 3(6) = 12
-6+18 = 12
12 = 12
Now do the same with the other equation
y - x = 12
6 - (-6) = 12
6 + 6 = 12
12 = 12
Both are Correct, so problem solved
To solve the equation 1. 75n = 7 for n, what operation must be applied to both sides in order to isolate the variable n?
Answers
Divide both sides by 75 to isolate N
From Dan's ranch one road is built to get to Andy's house two roads are built to get wo Willies house. How many way are there now to get from Andys house to Willies house?
Answers
Answer:
the answer you can find onlinde \\\\
Step-by-step explanation:
A type of sampling in which individuals to be interviewed are selected based on their proportion or quota in the general population being polled is known as
Answers
A type of sampling in which individuals to be interviewed are selected based on their proportion or quota in the general population being polled is known as public opinion.
What is sampling type of public opinion ?
A survey that measures the entire target population is called a census. A sample refers to a group or section of a population from which information is to be obtained. Survey samples can be broadly divided into two types: probability samples and super samples.
The collective opinion of large segment of the population on an issue, candidate or public policy on which the public may be much divided and lake a consensus.
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If the value the discriminant is exactly O,
what is true about the graph of the
quadratic equation?
Answers
Paolo helped in the community garden for 2 3/4 hours this week. That was 1 5/6 equal length shifts, because Paolo stopped early one day when it started to rain.
How long is a single shift?
PLS HELP ASAP
Answers
By taking the quotient between the total number of hours and the number of shifts each shift is 1.5 hours long.
How long is a single shift?
We know that Paolo worked (2 + 3/4) hours this week, and that is equivalent to (1 + 5/6) shifts.
To find the number of hours that each shift takes, we need to take the quotient between the total number of hours and the number of shifts:
[tex]\frac{(2 + 3/4)h}{1 + 5/6} = 1.5 h[/tex]
This means that each shift is 1.5 hours long.
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Identify the recursive formula for the sequence -3, 9, -27, 81, ....
Answers
Answer:
A
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3
this indicates the sequence is geometric.
the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is
f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3
The perimeter of a rectangle is 96 ft and the width is 22 ft what is the length of the rectangle
Answers
The length of the rectangle is 26ft.
What is the perimeter of a rectangle?
The sum of all sides of a rectangle is the perimeter of the rectangle.A rectangle has two equal lengths and two equal widths.Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths. That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.What is the length of the rectangle with perimeter 96ft and the width 22ft?The perimeter of a rectangle is, P = 96 ft.
The width of the rectangle is, w = 22ft.
As we know the perimeter P of a rectangle is given by the formula, P=2l+2w
Therefore, substituting the values in the equation we get,
P = 2l + 2w
96 = 2l + 2*22
96 = 2l + 44
2l = 96 - 44
2l = 52
l = 52/2
l = 26
Hence, the length of the rectangle is 26ft.
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According to the graph, for which values of x is y always negative?
Answers
Answer:
3rd option
Step-by-step explanation:
y is negative below the x- axis , that is for values of x in the interval
x > - 6 and x < 6
Say you have (-4x)^2, why and how would it translate to 16x^2? it's the same thing as (-4x)(-4x) so wouldn't you double distribute it?
Answers
What is the value of x? Show your work.
(Please hurry and see image for details.)
Answers
Answer:
7
Step-by-step explanation:
By the AA Postulate, triangles JKL and MNP are similar. Segment JK corresponds to segment MN, and segment JL corresponds to segment MP.
JK/MN = JL/MP
25/30 = 20/(4x-4)
25(4x-4) = 20*30
100x - 100 = 600
100x = 700
x = 7
Which graph represents the circle given by the equation x + y - 4x + 9y -7 = 0?
Answers
The graph of the circle equation is graph (d)
How to determine the circle?The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
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Find the length of JN
Answers
The length of JN from the figure is 108
Measure of segment of a lineA line is the shortest distance between two points. Given the following parameters
Required
We need the length of JN
JN = JK + KN
JN = 59 + 49
JN = 108
Hence the length of JN from the figure is 108
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Determine the vertical asymptotes for the reciprocal of this function f(x)=x^2 + 3x -28
Answers
Answer:
x = -7 and x = 4.
Step-by-step explanation:
f(x) = x^2 + 3x - 28
= (x + 7)(x - 4).
The reciprocal of f(x) can be written as
1 / (x + 7)(x - 4).
When the denominator is zero we have vertical asymptotes
so they are x = -7 and x = 4.
Can someone please help me on this problem and show work pleasee I’m having trouble doing this!!!
Answers
Let’s start by stating the formula for the area of a rectangle,
A=LW
the letter a represents area, l represents length, and w represents width.
Next let’s substitute known values.
A=x(x+10)
Next let’s use the distributive property
A=(x(x))+(10(x))
Now simplify.
A=x^2 + 10x
So the equation for the area of this rectangle is A=x^2+10x
I believe this is the most simplified answer, please tell me if I am wrong and I will redo my work.
x^2 + 10x