An equation that shows the relationship between the lengths of line segments AB, BC, and AC include the following: D. (5x + 20) + (6x - 10) = 120.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since B is the midpoint of line segment AC, we can logically deduce the following:
Line segment AB = Line segment BC
Line segment AC = Line segment AB + Line segment BC
By substituting the given line segments into the equation above, we have the following:
120 = (5x + 20) + (6x - 10)
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50pointsforthisquestionanybody??
Answer:
Non Linear and decreasing
Step-by-step explanation:
The line is a bendy line that goes down. A linear line is a line that goes straight forever. Because it goes down, it is decreasing. Therefore, it is non linear and decreasing.
If this helps please mark as brainliest ( i dont know why my answer was removed)
John removed 64 fish from his pond over a period of 8 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Work out the circumference of this circle.
Take a to be 3.142 and give your answer to 1 decimal place.
4 cm
Answer:Circumference is 2*pi*r
2 * 3.142 * 11.2 = 70.3808, to 1 decimal place is 70.4cm^2
Step-by-step explanation:
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.
slope: −43, ordered pair: (0,−25)
Answer:
\( \huge{ \bold{y = - 43x - 25}}\)
Step-by-step explanation:
Equation of a line in slope-intercept form is given by
\(y = mx + c\)
where
m is the slope
c is the y intercept
From the question
m = - 43
In order to find c we substitute the point (0,−25) into the equation y = mx + c
That's
\( - 25 = - 43(0) + c \\ - 25 = 0 + c \\ c = - 25\)
We now substitute m and c into the equation
We have the final answer as
\( \bold{y = - 43x - 25}\)
Hope this helps you
-1/2x-(1/2x+4)+12=17x-6(3x+5/6) What value of x makes the equation true? Show your work please.
Answer:
No Solution
Step-by-step explanation:
Keep in mind that if the grouping isn't right, then my result will be wrong:
-1/2x-(1/2x+4)+12=17x-6(3x+5/6)
Let me just change the formatting for convenience, and then begin the calculations:
\(-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:\)
\(-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5\)
\(-2\cdot \frac{1}{2}x-4+12=17x-18x-5\)
\(-x-4+12=17x-18x-5\)
\(-x+8=17x-18x-5\)
\(-x+8=-x-5\)
\(-x=-x-13\)
\(0=-13\)
Result: No Solution
Identify the domain of the function shown in the graph.
Answer:
Domain is all real numbers.
Step-by-step explanation:
PLSSSSS HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP IL GIVE MRE POINTS
Which of the following is a characteristic of a plane
Answer:
I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.
Step-by-step explanation:
Answer:
If you are taking the FLVS test it is "Two endpoints"
Step-by-step explanation:
Just took the test
hope it helps :)
Determine the measure of x in the diagram below:
x = °
The measure of angle x on the straight line is 130 degrees.
What is the measure of angle x?The sum of interior angles in a triangle equals 180 degrees.
To determine the value of x, we first determine its suplemetary angle x .
Hence:
40 + 90 + ( suplemetary angle of x ) = 180
Solve for the suplementary angle:
130 + ( suplemetary angle of x ) = 180
Suplementary angle of x = 180 - 130
Suplemetary angle of x = 50 degree
Now, we can find the measure of angle x.
Note that, sum of angles on a straight line equals 180 degree.
Hence:
x + ( suplemetary angle of x ) = 180
x + 50 = 180
Solve for x
x = 180 - 50
x = 130 degrees.
Therefore, the value of x is 130 degrees.
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what is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) 1 over 25 1 over 5 5 25; what is the value of 3 to the power 2 over 3 to the power 4?; what is the value of 4 to the power of 6 over 4 to the power of 8; what is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?; which value is equivalent to 4/3; what is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?; what is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4? 30 31 32 34; which value is equivalent to x-7/7-x
The value of the expression 5 to the power of 4 over 5 to the power of 6 is equal to 1/25.
If we write the expression 5 to the power of 4 over 5 to the power of 6 in standard form we get 5⁴/5⁶ and when we simplify this we get;
5⁴/5⁶ = 1/5² = 1/25
Now, if we write the expression 3 to the power 2 over 3 to the power 4 in standard form we get 3²/3⁴ and when we simplify this we get;
3²/3⁴ = 1/3² = 1/9
Now, if we write the expression 4 to the power 6 over 4 to the power 8 in standard form we get 4⁶/4⁸ and when we simplify this we get;
4⁶/4⁸ = 1/4² = 1/16
Now, if we write the expression 4 to the power 4 multiplied by 4 power 3 over 4 to the power 5 in standard form we get 4⁴×(4³/4⁵) and when we simplify this we get;
4⁴×(4³/4⁵) = 4⁴×(1/4²)
= 4² = 16
Now, if we write the expression 2 to the power 2 multiplied by 2 power 3 over 2 to the power 4 in standard form we get 2²×(2³/2⁴) and when we simplify this we get;
2²×(2³/2⁴) = 2²×(1/2) = 2
Now, if we write the expression 3 to the power 3 multiplied by 3 power 3 over 3 to the power 4 in standard form we get 3³×(3³/3⁴) and when we simplify this we get;
3³×(3³/3⁴) = 3³×(1/3) = 9
The value which is equivalent to x - 7/7 - x will be x - 7/7 - x.
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What’s the units?? Plz need help
Answer: 4 units
Step-by-step explanation:
Should i get iphone 7 rose gold or iphone 7 red
Answer: Red
Step-by-step explanation:
Personally, you should get a better phone than an iPhone 7
Answer: iPhone
Step-by-step explanation:
Ok, so to answer this question you need to do a simple formula: eenie-meenie-miney-moe. Or just choose which color you like better... although I don't think iPhone makes iPhone 7's anymore (as of 2022).
Sorry if this doesn't help very much.
I would choose red if you seriously cannot choose.
NO LINKS!! URGENT HELP PLEASE!!!
For 6a and 6b., Write the equation for each graph below
6a. The equation for the graph is y = 2√(x + 5).
6b. The equation for the graph is y = -|x + 1| + 5
What is a square root function?In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;
y = a√(x - h) + k
h and k represents the vertex of the graph.a represents the leading coefficient.Part 6a.
Next, we would determine value of a as follows;
4 = a√(-1 + 5) + 0
4 = a√4
4 = 2a
a = 2
Therefore, the required square root function is given by;
y = 2√(x + 5)
Part 6b.
Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:
y = a|x - h| + k
y = -|x + 1| + 5
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2) Ethan put 5500 into an account compounded weekly. After 3 years he has double the amount. What was his
Interest rate?
Answer:
2.75
Step-by-step explanation:
pls help this is not graded
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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What is the scale factor from ABC to DEF?
A. 2
B. 1/2
C. 3
D. 1/3
Answer:
The scale factor is 3 C)as ABC = 3* DEF
AB = 5
DE = 15 = 5*3
AC = 3
DF = 9 = 3*3
BC = 4
EF = 12 = 4 * 3
Find the volume of the box
3ft
5ft
6ft
Answer:
90ft^3
Step-by-step explanation:
What is the total surface area
Answer:
Step-by-step explanation:
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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Help please, but more importantly, I am really trying hard to figure out how, you arrive at the answer. Thanks in advance!
A recent social survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.
Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?
b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?
c. What is the relative frequency of a female who prefers Microsoft?ocial survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.
Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?
b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?
c. What is the relative frequency of a female who prefers Microsoft?
Answer:
Step-by-step explanation:
#1
A) P(FEMALE|APPLE)
apple total = 346
apple/female = 194
194/346 = .56 = 56 %
B) P(APPLE|MALE)
male total = 320
apple male = 152
152/320 = .475 = 47.5%
C) female prefer Microsoft
152:168 = 76:84 = 38:42 = 19:21
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
Which statement best explains if the graph correctly represents the proportional relationship y = −2x? (4 points)
A coordinate plane is shown. Points are graphed at negative 2 and 4 and negative 1 and 2. The points are joined by a line.
a
It does not, the points shown would not be part of y = −2x.
b
It does not, proportions cannot be represented on a graph.
c
It does, all proportions can be shown on a graph of this line.
d
It does, the points shown on the line would be part of y = −2x.
∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =
Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.
If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.
Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.
Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:
∠B + ∠C = 90°.
Substituting the given value, we have:
∠B + 25° = 90°.
To isolate ∠B, we subtract 25° from both sides of the equation:
∠B = 90° - 25°.
Simplifying, we get:
∠B = 65°.
Therefore, the measure of ∠B is 65°.
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The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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All 8th grade students at a school answered Yes or No to the survey questions shown.
• Do you play a sport? Yes No
Do you play a
Yes No
musical instrument?
.
The same students responded to both questions. The results are shown in the table.
Musical
Instrument
Totals
Sport
Yes No Yes
97 118 59
No
156
Of the 156 students who do not play a musical instrument, 87 of them do not play a sport.
Complete the two-way frequency table to represent the correct number of students in each cell. You must complete all nine
cells of the table for a full correct response.
Based on the survey results, the statement that is the most accurate is B. Students who play a sport do not tend to play a musical instrument.
What is a Two-Way Table?A table where each cell shows the frequency (or proportion) obtained for that row and column combination for the two variables.
The rows represent the categories for one category variable, the columns represent the categories of a second category variable.
Hence, from the given two-way table, it is seen that the response of the students are recorded and the statement that is the most accurate is B. Students who play a sport do not tend to play a musical instrument.
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The table below shows the survey results of 100 students who were asked 2 questions: “Do you play a sport?” and “Do you play a musical instrument?” Based on the survey results, which statement is the most accurate?
Students who play a sport also tend to play a musical instrument.
Students who play a sport do not tend to play a musical instrument.
Students who do not play a sport tend to play a musical instrument.
Students who do not play a sport also tend not to play a musical instrument.
Trey is choosing a 2-letter password from the letters A, B, C, D, and E. The password cannot have the same letter repeated in it. How many such passwords are
possible?
Answer:
10
Step-by-step ex1planation:
Name the properties used to solve this equation:
4/3(3/4x)=4/3 * 1/4. Given
(4/3 * 3/4)x=4/3 * 1/4 a.
1x=4/3 * 1/4. b.
x=4/3 * 1/4 c.
x=1/3 4/3*1/4=1/3
We want to see the properties used to solve the given equation.
The properties used are:
Existence of the multiplicative inverse.Associative property of the multiplication.Let's write step by step and see which property we used on each step.
We start with:
\(\frac{4}{3} *(\frac{3}{4} *x) = \frac{4}{3} *\frac{1}{4}\)
Now we use the associative property of the multiplication (says that we can multiply in any order we want) we rewrite this to:
\((\frac{4}{3} *\frac{3}{4} )*x = \frac{4}{3} *\frac{1}{4}\)
Now we use the existence of the multiplicative inverse, this says that for a number a, there exist a number b such that:
a*b = 1
And we have that b = 1/a.
Then we apply that to the first factor to get:
\((\frac{4}{3} *\frac{3}{4}) *x = \frac{4}{3} *\frac{1}{4} \\\\x = \frac{4}{3} *\frac{1}{4}\)
Again, using the same but with the numerator of the first factor of the right side and the denominator of the second factor of the right side we get:
\(x = \frac{4}{4} *\frac{1}{3} = \frac{1}{3}\)
Then the properties used are:
Existence of the multiplicative inverse.Associative property of the multiplication.If you want to learn more, you can read:
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Simplify. -(6x + 3y) - (x + y)
Answer:
(-6x -3y ) -x-y
-6x-x-3y-y
5x +2y
The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible?
There are a total of 175,760,000 different license plates
How many different license plates are possible?
We know that the license plates are of one number followed by 3 letters followed by 3 numbers.
We need to count the number of options for each of these elements:
1st number: it has 10 options.1st letter: it has 26 options.2dt letter: it has 26 options.3rd letter: it has 26 options.2nd number: it has 10 options.3rd number: it has 10 options.4th number: it has 10 options.The total number of combinations is given by taking the product between these numbers of options, we will get:
C = 10*26*26*26*10*10*10 = 175,760,000
There are a total of 175,760,000 different license plates
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