If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
What are Interior Angles?The angle between adjacent sides of a rectilinear figure.
The Line EF is transversal through AB and CD.
By converse of consecutive interior angles:
If two lines are cut by a transversal and the consecutive interior angle are supplementary, then the lines are parallel.
Statement Reason
∠EPB≅∠EQD Given
∠P=∠Q Supplementary angles
AB||CD Converse of consecutive interior angles
Therefore if ∠EPB≅∠EQD then AB||CD.
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NEED ANSWERS ASAP!!
Find the measures of the missing angles.
Please find all of them!
Answer:
for 13.) angles 4, 5 and 8 equal 135 and 3, 6 and 7 equal 45
for 14.) 1 equals 120 and 2 equals 60
Ken has 22 coins in only nickels and dimes which totals $1.35. How many of each coin does he have?
Solve using a let statement; Write and solve a system for each and define all variables.
18-6and -18+6 is the same thing
Answer:
No
Step-by-step explanation:
18-6=12
-18+6=-12
It is the opposite because rather than subtracting from a positive, you're adding to a negative.
Hope this helps :)
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V of the tray in terms of x.
Answer:
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V
Step-by-step explanation:
9v
The polynomial function for the volume V of the tray in terms of x will be;
⇒ 4x³ - 30x² + 54x
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.
She folds the remaining cardboard to make a tray that is x inch high
Now,
By the give condition we get;
Length of tray = 9 - 2x
Width of tray = 6 - 2x
Height of tray = x
So., The volume of the tray is expressed as;
Volume = x (9 - 2x) (6 - 2x)
= x (54 - 18x - 12x + 4x²)
= x (54 - 30x + 4x²)
= 4x³ - 30x² + 54x
Thus, The polynomial function for the volume V of the tray in terms of x will be;
⇒ 4x³ - 30x² + 54x
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HELP ME FOR 15 POINT NOW PLZ PLZ
Answer:
23 units
Step-by-step explanation:
Jasmine’s cell phone company charges her $35 a month for phone service plus 0.50 for each text message. How many text messages does Jasmine send in a month if her bill was $52?
Answer:
34
Step-by-step explanation:
62-35=17
17/.50=34
Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Answer:
No solutions
Step-by-step explanation:
In this question, you would be solving for x.
Solve:
5 + 2(3 + 2x) = x + 3(x + 1)
Use the distributive property.
5 + 6 + 4x = x + 3x + 3
Combine like terms.
11 + 4x = 4x + 3
Subtract 4x from both sides.
11 = 3
Since we don't have an "x value", there are no solutions.
"No solutions" would be your answer.
A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?
fraction 3 and 3 over 5 cubic feet
fraction 4 and 1 over 5 cubic feet
fraction 5 and 2 over 5 cubic feet
fraction 7 and 1 over 5 cubic feet
Given:
Length of a carton = [tex]2\dfrac{2}{3}[/tex] feet
Width of a carton = [tex]1\dfrac{1}{8}[/tex] feet
Height of a carton = [tex]1\dfrac{1}{5}[/tex] feet
To find:
The volume of the carton.
Solution:
We know that, volume of the carton is
[tex]V=length\times width \times height[/tex]
Putting the values, we get
[tex]V=2\dfrac{2}{3}\times 1\dfrac{1}{8} \times 1\dfrac{1}{5}[/tex]
[tex]V=\dfrac{(2\times 3)+2}{3}\times \dfrac{(1\times 8)+1}{8} \times \dfrac{(1\times 5)+1}{5}[/tex]
[tex]V=\dfrac{8}{3}\times \dfrac{9}{8} \times \dfrac{6}{5}[/tex]
Taking LCM, we get
[tex]V=\dfrac{18}{5}[/tex]
[tex]V=3\dfrac{3}{5}[/tex]
So, the volume is [tex]3\dfrac{3}{5}[/tex] cubic feet.
Therefore, the correct option is A.
which graph best represents the solution set for the given inequality y>-2/3x+9
The graph in the image I uploaded below best represents the solution set for the given inequality y>-2/3x+9.
easy math problems!!!!!
Answer:
it 21
Step-by-step explanation:
its 21
Answer:21
Step-by-step explanation:
Someone please help me
PLEASE HELP QUICK WILL MARK BRAINLIEST
Answer:
in my knowledge I think 13
we know the turtle is half as old as her parrot
so if we divide 10 by 3/4 we can get how old the turtle is
I’ll mark you brilliant!!!!!!!Iftheequationofalineis2x+y=6,whatistheslope?
2. Iftheequationofalineis4x-y=8,whatistheslope?
3. What is the slope of a line containing the points (2,9) and (3,12)?
4. What is the slope of a line containing the points (2,- 4) and (3, 10)?
5. The following table shows the number of pages Adriano read in x hours. Find the slope of the line that is the graph of the relation and write what does (2,100) represent.
Time(h) 1 2 3 4
Number
of pages 50 100 150 200
Slope:
(2,100) represents:
Answer:
answer below
Step-by-step explanation:
2. The slope is 4
3. The slope is 3.
4. the slope is 14.
5. She reads 2100 pages in x hours
39. a²c² -b²c² -4a²d² +4b²d²
The simplified expression for the given algebraic expression [tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}[/tex] is [tex](a+b)(a-b)(c+2d)(c-2d)[/tex]
As per the question statement, we are given an algebraic expression
[tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}[/tex] and we are supposed to solve and simplify it.
Solution:
[tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}\\c^{2} (a^{2} -b^{2})-4d^{2}(a^{2} -b^{2})\\(a^{2} -b^{2})(c^{2}-4d^{2})\\(a^{2} -b^{2})(c^{2}-(2d)^{2})\\[/tex]
Have used Distributive property for solving and simplifying the above algebraic expression.
Now using the property, [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]
We get,
[tex](a+b)(a-b)(c+2d)(c-2d)[/tex]
Therefore [tex](a+b)(a-b)(c+2d)(c-2d)[/tex] is our required answer.
Distributive Property: The same outcome will be obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend separately by the number and then adding the resulting products.Click the following link to learn more about distributive property:
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Which equation represents a line that passes through the two points in the
table?
X Y
3 3
6 5
Answer: The slope is 2/3, y=2/3x+1
Step-by-step explanation: The 2 points, (3,3) and (6,5), use the method y2-y/x2-x1. Then you find the slope that way, then use point slope form for the slope intercept form: y-y1=m(x-x1), then substitute and solve to get y=2/3x+1
Solve the literal equation for a y=x(ab/a-b)
Answer:
a = (b + c)/(bx - 1)
Step-by-step explanation:
Given
x= (a+b+c)/(ab)
Solving for a
x = (a + b+ c)/(ab)
abx = a + b+ c
abx - a = b + c
a(bx - 1) = b + c
a = (b + c)/(bx - 1)
How would you describe probability?
Answer:Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Step-by-step explanation
QUICK!!! What is 4,193,538 in short word form?
Answer: Four million, one hundred ninety-three thousand, five hundred thirty eight.
Step-by-step explanation:
Can someone please help mee (20 points
brainliest!!!)
Answer: p= (-0.10)x + 31
Step-by-step explanation:
m is the slope, and we know that each time they need to drop $0.10 so that is our slope. For the b we just need to get $0.10 times 260 cards that need to sell and add 5 and we get 31. So, the equation is p= (-0.10)x + 31.
Thank you if you can give me the brainliest.
Cual es la suma del cierto número y- 6 es -1
Farmer Simpson was collecting eggs and noticed that each of his 6 hens laid the same
number of eggs this week. If Farmer Simpson collected 78 eggs, how many eggs did each
hen lay?
15
7
13
18
Help!!!What is the value of x?
Answer:
your answer is 3 the value of x is 3
landon elliot fumigates rooms and charges $21.95 per room on monday he fumigated 3 rooms in one house 2 in another and 4 in a third
The total charges are $197.55.
According to the statement
We have to find that the total charges.
So, For this purpose, we know that the
A equation is an algebraic equation of the shape y=mx+b. involving only a continuing and a first-order (linear) term, where m is that the slope and b is that the y-intercept.
From the given information:
He fumigated 3 rooms in one house, 2 in another, and 4 in an exceedingly third.
Then
Landon Elliott takes charges to fumigate each room = $21.95
He fumigated rooms on Monday = 3 + 2 + 4 = 9 rooms
His total charges = 21.95 × 9
His total charges= $197.55.
So, The total charges are $197.55.
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Question:
Landon Elliott fumigates rooms and charges $21.95 per room.
On Monday, he fumigated 3 rooms in one house, 2 in another, and 4 in a third. Find his total charges.
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(7x2 - 5x + 6) + (-3x2 + 5x - 14) adding polynomials
Answer:
4x² - 8
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(7x² - 5x + 6) + (-3x² + 5x - 14)
Step 2: Simplify
Combine like terms (x²): 4x² - 5x + 6 + 5x - 14Combine like terms (x): 4x² + 6 - 14Combine like terms (Z): 4x² - 8I need help plz
This is hard p.s this is 7th grade
Will give brainliest, please answer
FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
Option E
Step-by-step explanation:
please mark me braibliest
Answer:
d? im probably not correct
Step-by-step explanation:
If there are 150 students in 5 classes, how many students are in one class?
Answer:
30 in each classroom
Step-by-step explanation:150 divided by 5 equals 30
Help pls thank you!!!!
Answer:
y = 16
Step-by-step explanation:
You would plug in the value given for x into the function given.
[tex]\frac{1}{3}(18) + 10[/tex]
Type that into a calculator and this would give you the output, which would be the value for Y.
The value for Y is 16.
Hope this helps.
Can someone help me please
Answer:
this is easy its C . BC is the shortest side
Step-by-step explanation:
brainliest please :)