Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. Therefore, by applying the supplementary angle theorem, the measure of angle 6 is given by:
Q + R = 180°
153° + m<6 = 180°
Angle 6 = 180° - 153°
Angle 6 ≡ Angle 4 = 17°
Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:
Q + R = 180°
17° + m<3 = 180°
Angle 3 = 180° - 17°
Angle 3 = 153°
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Solve for x in the diagram below
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6
Data from 2011 indicates that NYC has a total population of 8,244,910 people. The population of Queens is about 23.3% of the total population of NYC (population data is from 2011). Calculate this value for all 5 boroughs.
• Bronx has a population of 1,392,002. What is its percent of the total NYC population?
%
• Broklyn has a population of 2,532,645. What is its percent of the total NYC population?
%
• Manhattan has a population of 1,601,948.
What is its percent of the total NYC
population?
%
• Queens has a population of 2,247,848. What is its percent of the total NYC population?
27.26
%
• Staten Island has a population of 470,467.
What is its percent of the total NYC
population?
The appropriate percentage of the cities in NYC will be:
Bronx = 16.88%
Brooklyn = 30.72%
Manhattan = 19.43%
Queens = 27.26%
Staten Island = 5.71%
How to illustrate the information?NYC has a total population of 8,244,910 people.
Bronx has a population of 1,392,002, the percent of the total NYC population will be:
= 1,392,002 / 8,244,910 × 100
= 16.88%
Broklyn has a population of 2,532,645, its percent of the total NYC population will be:
= 2532645 / 8244910 × 100
= 30.72%
Manhattan has a population of 1,601,948, its percent of the total NYC population will be:
= 1601948 / 8244910 × 100
= 19.43%
Queens has a population of 2,247,848, its percent of the total NYC population will be:
= 2,247,848 / 8244910 × 100
= 27.26%
Staten Island has a population of 470,467, its percent of the total NYC population will be:
= 470467 / 8244910 × 100
= 5.71%
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Please need help it’s due today
Answer:
i think its 0 D
Step-by-step explanation:
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Hove
Find the average rate of change indicated below.
y = 4x+1
[-1, 1)
A.15
B.3.75
C.1.875
D.7.5
The average rate of change of the function over the interval is 4
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
y = 4x + 1
The interval is given as
[-1, 1)
The function is a linear function
This means that it has a constant average rate of change
From y = 4x + 1, we have
Rate = 4
Hence, the rate is 4
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check my answer before I submit please!!
What similarity theorem justifies ABC-YZX
I chose SSS Similarity Theorem
Answer:
It is AA
Step-by-step explanation:
They didn't mention anything about sides but thay said that the triangles have 2 similar angles so it AA theoremWhat is the slope of the line?
Answer:
3/4
Step-by-step explanation:
1.5/2= 3/4
plz help
A student’s grade goes from a 95 to a 60 in 3 weeks because they didn’t do their homework Calculate the student’s rate of the grade change.
Perform the stated transformation on the parent function f(x) = x2
Translate 9 units left and reflect in the x-axis
Answer:
f(x) = -1 (x-9)^2
Step-by-step explanation:
To translate left or right, you must modify the x directly. As in (x-9). If you wanted to move it up or down you would do X^2 ± n, not directly modifying the x.
as well as, you are essentially making a new "zero" through this translation to (-9,0). i'm not sure if you're at that yet though.
as for the translation over the x axis.
when y is negative(or opposite), you have translated over the x-axis.
when x is negative(or opposite), you have translated over the y-axis.
Since you are doing the exponents, then the parenthesis, and then multiplying -1 last (by pemdas) you are ensuring that f(x), the output, or y, is always opposite or negative.
Part A: Choose one value for a and one value for b that would make both of the following inequalities true:
a < b and |b| < |a|
The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:
To make both inequalities true, we need to select values for a and b that satisfy the given conditions:
a < b: This inequality means that the value of a should be less than the value of b.
|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.
One possible solution that satisfies both conditions is:
a = -2
b = 1
With these values, we have:
-2 < 1 (a < b)
|-1| < |2| (|b| < |a|)
Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:
This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.
|b| < |a|:
This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.
By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.
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Which expression is equivalent(equal to) to
(10+77-12)+(-672-18+51) HELPPPPP
(10+77-12)+(-672-18+51)
(87-12)+(-690+51)
75+(51-690)
75-639
-564
---
hope it helps
Use the applet to select a random sample of 8 students.Repeat to generate many samples. The applet gives the sample proportion for each sample. Examine the variability in the sample proportions you generated with the applet. Which of the following sequences of sample proportions is most likely to occur for 5 random samples of 8 students from this population? Group of answer choices 0.250, 0.125, 0.500, 0.500, 0.875 0.600, 0.600, 0.600, 0.600, 0.600 0.375, 0.625, 0.500, 0.500, 0.875
Answer:
0.250, 0.125, 0.500, 0.500, 0.875
Step-by-step explanation:
Sampling method is used in statistics where the sample is extracted from the population. A random sampling means that there is equal chance of every proportion to be selected in the sample. In the given scenario the sampling method used is random sampling which has 5 random samples of 8 students. There can be sequence for the sampling starting from 0.250.
product of (x+2y^2)(2x-2y^2)
Answer:
Step-by-step explanation:
(x + 2y²)(2x - 2y²)
FOIL
First
x(2x) = 2x²
Outside
x(-2y²) = - 2xy²
Inside
2y²(2x) = 4xy²
Last
2y²(-2y²) = - 4y⁴
combine like terms
2x² + 2xy² - 4y⁴
Answer:
-4y^4 + 2xy^2 + 2x^2
Step-by-step explanation:
(x + 2y^2) (2x - 2y^2)
x(2x) + x(-2y^2) = 2x^2 - 2xy^2
2y^2(2x) + 2y^2(2y^2) = 2xy^2 + 4y^4
2x^2 - 2xy^2 + 4xy^2 - 4y^4
2x^2 + 2xy^2 - 4y^2
or
-4y^4 + 2xy^2 + 2x^2
A number divided by 70 has a quotient of 5 with a remainder of 14. What is the number
Answer:
350
Step-by-step explanation:
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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A car dealership sells 48 cars of the same model in one month. The average price of each car is $25,000 with a maximum variance of $3,000 due to additional options. What is the range of the total revenue that the car dealership makes for the month's sales of this car model?
Answer: A. $1,056,000 <= x <= $1,344,00
"We can always be better"
6p² equals to..................
Answer:
36p is the correct answer
Which choice shows the product off 22 and 49?
Answer:
1,078
Step-by-step explanation:
I got that answer by multiplying 22 and 49. We know that product means to use the multiplication operation so our problem would look like this:
22 * 49 = 1,078
Product of 22 and 49 is
(22)(49) = 1078
Option C
Given :
the product of 22 and 49
Explanation :
We need to find which option is correct to find product of 22 and 49
Product mean multiplying the numbers
so we need to multiply 22 and 49
22
49
----------
198
88
-------------
1078
So the product of 22 and 49 is 1078
(22)(49)=1078
Option C is correct
3[10-(27 ÷9)} (Enter the numerical answer.)
Answer:
90
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
The photo is kinda blurry but please help me with it
The perimeter of rectangle M'N'O'P' is given as follows:
54 cm.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The ratio between the areas is given as follows:
126/14 = 9.
The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:
3.
Hence the perimeter of rectangle M'N'O'P' is given as follows:
3 x 18 = 54 cm.
Missing InformationThe complete problem is:
Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?
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is the ordered pair a solution to the equation. y=-7; (-5,6)
Answer: No
To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.
If the equation is true, then the ordered pair is a solution to the equation.
If we put (-5,6) into y=-7, we get 6=-7, which is not true.
So, (-5,6) is not a solution to the equation y=-7.
Can someone help me pleasee
Answer:
The answer is 50% or 1/2
Step-by-step explanation:
There are four outcomes on that chart: 1,2,3,3
There are two threes which means 2/4=.5 or 1/2
Answer:
1/2 chance of landing on a 3.
Step-by-step explanation:
Out of the 4 sections on the spinner, 2 of them have the number 3. This means that there is a 2/4 chance that the spinner lands on a three. This fraction can be simplified into 1/2.
Find the value of x in the figure below if MP is parallel to RA.
Answer: 4.5 units
Step-by-step explanation:
Answer:
4.5 units
Step-by-step explanation:
You would use this equation to find the value of x: \(\frac{18}{x}\) = \(\frac{20}{5}\)
You are buying mouthwash at your local store. The price of the mouthwash is $4.39. It is
currently on sale for 20% off. You also have a store coupon for $1.00 off and a
manufacturer's coupon for $1.25 off. What IS your subtotal?
Dilacey takes out a loan from the bank that charges a 10% interest rate. After 18 months,
she accrues $420 in simple interest. How much was the loan that Dilacey took out?
Answer:
Dilacey took a loan of $2800
Step-by-step explanation:
P=(Simple Interest×100)/R×T
P=$420×100/10×1½
P=$42000/15
P=$2800
If two angles of a triangle are 75° and 40°, how many degrees is the third angle
Answer:65°
Step-by-step explanation:40+75+x=108X=65The distance between -18 and 15 is equal to
0-48-15
05-18
015-(18)
Answer:
015-(18) = -3 which is equal to 3 because of some kind of operation
Please help emergency
Answer:
1/20÷950
Step-by-step explanation:
hope this helps!
Answer:
the first one
Step-by-step explanation:
Algebra 1 is all about equations and functions. First, you learned about Linear Functions then Quadratic Functions. Next, you learned about Rational Functions (indirect variation), then Exponential and then Radical Functions. Before Algebra 1 comes to a close, it is good to review these functions and compare them side by side.
Complete the table below. The table is created for you in the Word or PDF Worksheet. If you don't have Microsoft Word, download the PDF and create the worksheet in an application of your choice, complete the worksheet and upload it as a PDF.
All images should be original. Graphed them using a digital calculator such as Desmos.
Resources: Desmos User Guide
Export a graph from Desmos by choosing 'Share' and then 'Export', or you can 'Print' them as a PDF. Alternatively, you can take a screenshot of your graph. You can insert the image into this table or give your image files a distinct name and upload them with this worksheet. You can upload them as a PDF, or you can use an image file format - PNG, JPG or GIF files.
Linear Quadratic Rational Exponential Radical
Parent Function:
Notation
----------------------------
Parent Function:
Graph
----------------------------
Translation:
Graph a function which extends
through quadrant 1, 2, and 4.
If it is not possible to graph
through these quadrants,
chose one or two quadrants and explain the choice.
-------------------------------------
Write the function notation
for the above function
-------------------------------------
Domain and Range of
translated function
Reflection: Write a paragraph summarizing what you learned from this activity.
Answer:
Algebra is simple and the answer is infinity due to there being over one million diffrent possoblitlitys, We know that because of albert ienstine so the answer has been solved.
Step-by-step explanation:
there are 538 jelly beans in a bowl hector and Michael decided to share the jelly beans how many jelly beans do Michael and hector get? Their mom tells them they can not eat all the jelly beans at once. They can each eat an equal amount of jelly beans for four days. How many jelly beans do hector and Michael eat each day for four days
Answer:
67.25
Step-by-step explanation:
Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25