Answer:
MP = 29
Step-by-step explanation:
Given:
The entire line (MP) is equal to 5y + 9MN = 17NP = 3yMN + NP = MP
17 + 3y = 5y + 9
Find what y =____
17 + 3y = 5y + 9
subtract 9 from both sides
17 - 9 + 3y = 5y + 9 - 9
8 + 3y = 5y
subtract 3y from both sides
8 + 3y - 3y = 5y - 3y
8 = 2y
divided both sides by 2 to get y alone
8/2 = 2y/2
4 = y
Now plug in y to MP to find its length
5(4) + 9 = 20 + 9 = 29
MP = 29
To find NP, plug in y as well
3y = 3(4) = 12
NP = 12
Check:
MN + NP = MP
17 + 12 = 29 yes!!!!
(7x+6) degrees (5x-18) degrees
The value of x is equal to 16.
What is the variable behind a system formed by two supplementary angles
Let A and B be angles supplementary to each other, two angles are supplementary when the sum of its measures is equal to 180°. Mathematically speaking, the geometric system is represented by the following formula:
(7 · x + 6) + (5 · x - 18) = 180
12 · x - 12 = 180
12 · x = 192
x = 16
The solution to this equation is 16.
RemarkThe statement is incomplete, correct form is shown below:
Let be A and B two angles that are supplementary to each other. The measures are (7 · x + 6)° and (5 · x - 18)°, respectively. Find the value of x.
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If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
The graph of f(x) is shifted upward to create g(x).
The graph of f(x) is shifted downward to create g(x).
The graph of f(x) is shifted to the right to create g(x).
The graph of f(x) is shifted to the left to create g(x).
The graph of f(x) is shifted 5 units to the left to create g(x).
A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.
The most basic parent function is called a constant function.
Types of Parent Functions
There are multiple forms of parent functions. Some types of parent functions are:
Constant function: A horizontal line that intersects the y-axis.
Square root function: The inverse function of a quadratic function following the form f(x)= [tex]\sqrt{x}[/tex]
Cube root function: The inverse function of a cubic function in the form f(x)= 3 [tex]\sqrt{x}[/tex]
A parent function is the simplest form that a function can be. Its basic shape is not in any way altered.
For instance, when you see a u-shaped graph that is inverted and vertically stretched, you should still recognize that it is a parabola which has undergone different transformations
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Answer:
The graph of f(x) is shifted 5 units to the left to create g(x).
Step-by-step explanation:
Help please, it’s maths homework and I’m very confused at the moment
Answer:
show working
Step-by-step explanation:
you know the area of a rectangle or square is length x width, we do the same here.
so we have a length of (x+5) and because its a square we do (x+5)(x+5) which is
[tex] {x}^{2} + 10x + 25[/tex]
and we know the area of the square is 30 so we make the expression above equal to 30 and take 25 away from both sides to get the wanted equation
HELP ASP SHOW UR WORK YOULL GET BRAINILEST I don’t really know if u do show work on this question but Uhm
Answer:
multiply 4 times x and 3
Step-by-step explanation:
this is because the first step needed to solve is to expand it into 4x+12=12, so that u can solve it from here:
4x+12 =12
4x=12-12
4x=0
x=0/4
x=0
hope this helps :)
Answer: c. subtract three from both sides of the equation
Step-by-step explanation: you want to get the variable by itself. To do this reverse the subtraction or addition. In your case change the addition to subtraction.
the floor of a doghouse is 4 1/2 feet long and 6 3/3 feet wide. What is the area of the doghouse in square feet?
The area of the doghouse in square feet is calculated as 9 (13) ft2.
The formula to find the area of the dog house is 9(1/3) ft2
Area of the dog house = Length of the dog house width of the dog house
Area = (72 ft ) (83 ft )
Area = 7.82.3 ft*ft
Area = (566) ft2
Hence, the area becomes Area = 9 (13) ft2
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3. If a-b=0, then either a = 0 or b=0. True or False
Answer:
true
Step-by-step explanation:
the sum of two numbers is 68 and the difference is 12. What are the numbers?
Answer:
40, 28
Step-by-step explanation:
Let the numbers be x and y. The sum of two numbers is 68 and the difference is 12.
[Assuming x > y]
x + y = 68x - y = 12Now add these equations,
[tex]\Rightarrow[/tex] x + y + x - y = 68 + 12
[tex]\Rightarrow[/tex] 2x = 80
[tex]\Rightarrow[/tex] x = 40
Then, y = 68 - 40 = 28
Hence,
The required numbers are:
Greater = 40Smaller = 28Some tips:
Always incline towards using variables to get the results first, instead of hit n trial.Here y was eliminated when we added the equations. So always try to deduce the equations into a single variable.Cross check by placing the variable in the equation after u get the results.E Your bank account has a balance of -$12. You deposit $60. What is your new balance? (Answer asp pls)
Answer:
48 dollars
Step-by-step explanation:
its $48 dollars
Answer:
-12+60 = 48 Result :$48
Step-by-step explanation:
-12+60 = 48 Result :$48
1.
20
Required
Kamyle had 17 math problems for homework. If she finished 8 of them on the bus ride
home, how many more did she have to do?
Answer:
Step-by-step explanation:
x = number of math problems left to do
x + 8 = 17
x = 17 -8
x = 9
Kamyle needs to do 9 more math problems
Questions attached in photo (geometry!! please help me!)
The value of both x and y are 6 degrees in the given figure of arrangement.
What is angle bisector ?
angle bisector is the line which divides the given angle into two equal parts.
a) Here, the line RQ is the angle bisector of angle ∠WRV that is RQ line divides the angle ∠WRV into two equal parts and it is given that :
angle ∠WRQ is 48 degrees
and, angle ∠QRV is 7y+6
Therefore, ∠WRQ = ∠QRV
7y+6 = 48
7y = 48-6
7y = 42
y = 6 degrees
b) It is given that CR is perpendicular to PR that is angle ∠CRP will make 90 degrees and it is given as :
∠CRP = 13x + 12 degrees
90 = 13x + 12
13x = 78
x = 6 degrees
Therefore, the value of both x and y are 6 degrees.
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Determine whether the quadrilateral can always, sometimes, or never be inscribed in a circle. Explain your reasoning.
rectangle
A rectangle as the only parallelogram that can be inscribed in a circle.
Can the quadrilateral always be inscribed in a circle?A rhombus's opposite angles are congruent. If a rhombus has an angle, it has one pair of opposite angles that are and another pair of opposite angles that are. Because opposite angles are not supplementary, this rhombus cannot be encircled.
Because not all quadrilaterals can be inscribed in circles, they are not all cyclic quadrilaterals. If and only if the opposite angles of a quadrilateral are supplementary, it is cyclic.
A rectangle is the only parallelogram that can be inscribed in a circle. The important point is that the radius of the circle is R, because every rectangle can be inscribed in a (unique circle). (I believe.) One of the properties of a rectangle is that the diagonals bisect in the 'center,' which is also the circumscribing circle's center.
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What is the slope-intercept equation of the line with a slope of -13 that goes
through (5, 7)?
The slope-intercept equation of the line with a slope of -13 that goes
through (5, 7)
y = -13x + 72
point slope form: y = MX + b
m = slope, b = y-intercept
y = -13x + b through (5,7)
Use the given point as (x,y) to find b
7 = -13(5) + b
7 = -65 + b
b = 72
y = -13x + 72
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. the web change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx. Where “m” is the slope of a line. So, tan θ to be the slope of a line. Pick two points on the road and determine their coordinates.
Determine the difference in y-coordinates of those two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope). Whenever the equation of a line is written within the form y = MX + b,
it's called the slope-intercept form of the equation. The m is the slope of the line. And b is that the b in the point that is the y-intercept (0, b). for instance, for the equation y = 3x – 7, the slope is 3, and therefore the y-intercept is (0, −7).
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Before it was demolished, the RCA Dome was home to the Indianapolis Colts. The attendance in 2001 was 450,746, and the attendance in 2005 was 457,373 .
a. What is the approximate rate of change in attendance from 2001 to 2005 ?
The approximate rate of change in attendance from 2001 to 2005 is 1657.
Rate of Change of value is defined as the change in value over an interval of time.
Denoted by [tex]rate.of.change=\frac{change.in.value}{time}[/tex]
In the given question
Attendance in the year 2001 = 450746
Attendance in the year 2005=457373
Time = 2005-2001= 4 years .
[tex]rate.of.change=\frac{value.in.2005-value.in.2001}{2005-2001}[/tex]
rate of change = [tex]\frac{457373-450746}{4}[/tex]=[tex]\frac{6627}{4}[/tex]=1656.75≅1657
this means that attendance increases about 1657 per year.
Therefore , the approximate rate of change in attendance from 2001 to 2005 is 1657 .
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Please help i'm very confused :')
Answer:
Mean: 76
Median: 69
Mode: 63
Range: 46
Standard deviation: 15.5
Step-by-step explanation:
Given:
Mean = 62Median = 55Mode = 49Range = 46Standard deviation = 15.5If each value in the data set is increased by a constant k, the mean, median, and mode will be increased by k.
The range and standard deviation will remain unchanged.
Therefore, if each value in the data set is increased by 14:
Mean: 62 + 14 = 76Median: 55 + 14 = 69Mode: 49 + 14 = 63Range: 46Standard deviation: 15.5 Zoe struck out during 10% of her at bats last season. Design and conduct a simulation to estimate the probability that she will strike out at her next at bat this season.
The likelihood that Zoe would then strike out in her further at bat this season is calculated.
How is pie chart constructed?The various findings or components in a pie chart are depicted by the sectors of a circle, and the entire circle symbolizes the total of the value of each of the components. Obviously, the overall angle of 360° at the central point of the circle is divided by the component values.
Now, for the stated question; It is mentioned that-
Step 1: Last season, Zoe struck out in 10% of her at-bats.
Thus, the probability that the Zoe struck out in her at-bats is 10%.
Then, the probability that the Zoe does not struck out in her at-bats is 90%.
Step 2: The simulation will have 40 trials.
Step 3: We can employ a spinner split into two sectors, one that included 10% of the spinner's area while the other 90%. Determine the central angle of the each sector.
Zoe got thrown out =10% of 360° = 36° Sector yellow
Zoe does not strike out (90 percent of 360° = 324°).
Consider the blue sector in the graph.
Step 4: A trial consists of one spin of the spinner and one strike on the bat by Zoe.
A successful trial means Zoe did not strike out, while a failed trial implies Zoe did strike out. The simulation will include 40 trials.
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If you do all of them you will get 50 points
Answer:
a. -10
b. -2
c. 10
d. 2
e. -2
f. 2
Answer:
a. = -10 b.=-2 c.=-2 d.=+2 e.=+2 f.=+10
Find the value of each variable and the measure of each labeled angle.
assuming 4x+21=6x-23
then you can get x by doing
4x+21=6x-23
21=2x-23
44=2x
x=22
4x+21= 109
6x-23= 109
What information do you need to find a term of a sequence using an explicit formula?
The explicit formula can be found in three easy steps. Find the first term and the common difference of the arithmetic sequence first. Replace the values in the explicit formula's nth term.
What is sequence?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
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-3 4/9 * 5 2/5 help me please
Answer:
-18.6
Step-by-step explanation:
I simply just did multiplication
I multiplied the whole numbers alone and did the same with the fraction
then you add the two products and get your answer
i need help with this problem … it’s says
a room has a rectangular floor.if the length is fifteen feet longer than the width ,find the length and width of the room if the perimeter is 115
Answer:
Length is 26.25 and width is 21.25
Step-by-step explanation:
the length is gonna be the width but plus 15, so W+15, and we know that there's 2 widths and 2 lengths in a perimeter so were gonna start off our algebraic expression like this:
2(15+W)+2W=115
distribute the 2
30+2W+2W=115
combine like terms
30+4W=115
subtract 30 from both sides
4W=85
divide 4 from both sides
W=21.25
now plug in our width value into W+15 to find length
W+15
21.25+15=L
36.25=L
Is the fraction 1/3 equivalent to a terminating decimal or number that does not terminate
The fraction 1/3 is not equivalent to a terminating decimal
What is a terminating decimal?A
A terminating decimal can be defined as a decimal expressed in a finite number of figures.
It is also said to be a decimal having an end point.
Example;
1/ 2 is a terminating decimal having its value as 0. 5
Given the fraction;
1/ 3, the decimal value = 0. 333333333
It is not a terminating decimal as it has an indefinite decimal value.
Thus, the fraction 1/3 is not equivalent to a terminating decimal
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Write an inequality for the following statement.
2 is less than or equal to y
Answer:
2 ≤ y
Step-by-step explanation:
2 ≤ y
Write a two-column proof.
Given: BA ≅ DC, ∠ B A C ≅ ∠ D C A
Prove: BC ≅ DA
We can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.
What clearly does the term "triangle congruency" mean?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.If two triangles satisfy the five congruence conditions, they are congruent.They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).So,
Given: BA ≅ DC, ∠ B A C ≅ ∠ D C A
To Prove: BC ≅ DA
First, we'll prove the △BAC ≅ △DAC
BA = DC = Given∠BAC = ∠DCA = GivenAC = AC = Common baseSo, △BAC ≅ △DAC under SAS conditions.
Then we can say that BC ≅ DA is under (CPCT).Therefore, we can conclude that BC ≅ DA is congruent under corresponding parts of congruent triangles.
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The scores on the statistics test was normally distributed with a mean of 86 and a standard deviation of 5. Jose scored a 93 on his test. What percentage of the class scored less than he did?
The scores on the statistics test was normally distributed with a mean of 86 and a standard deviation of 5. Jose scored a 93 on his test then 1.4% of the class scored less than he did.
What is Normal Distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The scores on the statistics test was normally distributed with a mean of 86, a standard deviation of 5, and Jose scored a 93 on his test.
We need to find the percentage of the class scored less than he did
z=(x-mean)/ S.D
=93-86/5
=7/5
=1.4
Therefore 1.4 percentage of the class scored less than Jose did.
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Scale the numerator and the denominator down by a factor of 4 (divide) to write a fraction equivalent to 24 56
The fraction equivalent to 24 /56 is 6/14.
What is fraction?
A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
Scale the numerator and the denominator down by a factor of 4.
According to given question we have
Down by a factor of 4 means divide by 4.
when you scale the numerator and denominator down by 4, you just divide both of them by 4.
So since 24 divided by 4 is 6 and 56 divided by 4 is 14,
The answer is 6/14.
Therefore, the fraction equivalent to 24 /56 is 6/14.
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Solve x in the given equation -3x + 2c = -3
Answer:
[tex]x = 1 + \frac23c[/tex]
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x-3x + 2c = -3 Subtract 2c from both sides-3x = -3 - 2c Divide both sides by -3x = [tex]\frac{-3 - 2c}{-3}[/tex] Simplifyx = [tex]1 + \frac23c[/tex]The solution for x is [tex]x = 1 + \frac23c[/tex].
PLEASE HELPP..............................................................
Answer:
a. No
b. Yes
c. Yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
Evaluate each expression 24 divid 6 +2^3•4
Answer:
36
Step-by-step explanation:
= 24/6+2^3*4
= 24/6+8*4
= 4+8*4
= 4+32
= 36
Please hurry
Add using a number line.
−25+45
Drag and drop the word SUM to the correct value on the number line.
Answer: i got it
Step-by-step explanation:
i hope this helped
Consider the expression 9x + 2
9x is the ___ term
A. constant
B.Variable
Answer:
B
Step-by-step explanation:
9x is the variable in the question