If m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure ∠1 = f.m∠7 = k.m∠13 = b.m∠3 = g.m∠8 = l.m∠14 = c.m∠4 = h.m∠9 = m.m∠15 = d.m∠5 = i.m∠10 = n.m∠16 = e.m∠6 = j.m∠11 = o.m∠17 =
Answers
Answer:
Step-by-step explanation:
1). Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
The answers are given as follows
Given that
a║b
m∠2 = 125°
m∠12 = 37°
m∠18 = 102°
From the identity of supplementary angles
m∠1 + m∠2= 180°
So m∠1 = 180° - 125° = 55°
m∠7 =m∠12 = 37° (Interior opposite angles )
m∠3 = m∠18=102° (Alternate Exterior angles )
m∠8 = 180° - m∠3 -m∠7 = 180°- 139° = 41°
m∠14 = m∠7+ m∠8= 37° + 41° = 78° ( Alternate opposite angles)
So m∠13 = 180° -78° = 102° (linear pair)
m∠4= 180° - m∠3 = 180° - 102° = 78°
m∠9 =180° - m∠4 = 180° - 78 = 102° (vertically opposite to m∠3)
m∠15 = m∠2 = 125° (Alternate exterior angles)
m∠5 =m∠15 = 125° (Corresponding Angles )
m∠10 = 180° -125° = 55°
m∠16 = m∠10 =55° ( Vertically Opposite Angles)
m∠6 = m∠10 =55° (Alternate interior angles)
m∠11 = 180 ° - m∠6° - m∠7° = 180° - 55° - 37° = 88°
m∠17 = 180° - m∠13 = 180° -102° = 78 °
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Related Questions
Xavier currently pays $11.50 per movie he downloads with his current movie package. a new movie package charges $10 per movie downloaded with a $15 joining fee. How many movies would he need to download for him to want to switch?
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Answer:
4
Step-by-step explanation:
after paying for 4 movies he's spent more than how much he would pay at the other one for downloading 4 movies
If a triangle is an equilateral triangle, then the triangle has exactly three 60°
angles. △ABC is an equilateral triangle?
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Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
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Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
the sqaure root of 130 falls between which consecutive numbers
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The product of 7 and j is 91
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j = 13
Step-by-step explanation:7×j = 91
j = 91 : 7
j = 13
563x367
use scratch paper to help you
Answers
Answer: 206621
Step-by-step explanation:
563x367=206621, so 563x7=3941, 563x60=33780, and finally 563x300=168900. Add them all up, 3941 + 33780 + 168900 = 206621.
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help i need help i can't figure this out
Answers
Answer: A) 23
Step-by-step explanation:
3^2 + ( 6 - 2 ) ⋅ 4 -6/3
3^2 + 4 ⋅ 4 -6/3
9 + 4 ⋅ 4 -6/3
9 + 16 -6/3
25 - 6/3
75/3 -6/3 = 69/3
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Answer:
23
Step-by-step explanation:
3^2 + (6 - 2) x 4 - 6/3
3^2 + 4 x 4 - 6/3
9 + 16 - 6/3
25 - 6/3
6/3 = 2
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help please!
find the value of x so that the figures have the same perimeter
Answers
Answer: 7
Step-by-step explanation: For the first figure, 7 + 3 = 10, so the perimeter would be 10 + 10 + 7 + 7, which equals Perimeter = 34. For the other figure, 7 - 4 = 3, so 3 + 14 + 14 + 3 = 34, also. Hope this helps!
Help me plz I don't know how to this I don't understand!!!
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The answer is B.
In order for this chart to be true, each x and y pair must be proportional to the other ones. (in other words, each row of x and y should increase the same amount as the other ones.)
look at the first row. we can write this as 3/5 (x over y). then look at the third and fourth row. 6/10 = 3/5, and 9/15 = 3/5, so the pairs are proportional.
For the pair of functions, find (f o g)(x) and (gof)(x).
f(x) = -2x2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
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83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
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Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
Which step can you use to solve the equation t - 8= -3?
O Add 8 to each side of the equation.
Subtract 8 from each side of the equation.
O Multiply each side of the equation by 8.
O Divide each side of the equation by 8.
Solve the equation t-8=
3.
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When translating a number to the scientific notion (ex: 0.000157), do you count the zero to the left of the decimal point? Like would the scientific notion of 0.000157 be 1.57 x 10^-4 ? If you could explain how scientific notion works that be great. thanks
Answers
Answer:
You do not count the zero to the left of the decimal
Step-by-step explanation:
That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157
Your answer is correct, 0.000157 is 1.57x10^-4
Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.
Describe and correct the error a student made when starting to solve the equation 8 ^ (x + 3) = 2 ^ (2x - 5) 8 ^ (x + 3) = 2 ^ (2x - 5) (2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5) 2 ^ (3x + 3) = 2 ^ (2x - 5) Choose the correct answer below A. The student should have divided both sides by 2 ^ 2 to simplify the expression B. The student did not convert 8 to the correct power of 2 C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3 D.The student should have expressed the initial rational exponent as the sum of two rational exponents ..
Answers
Answer:
C. is the correct option
C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3
and x = - 14
Step-by-step explanation:
8 ^ (x + 3) = 2 ^ (2x - 5)
Here is how the student solved the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
2 ^ (3x + 3) = 2 ^ (2x - 5) ----- This is where the student made the error.
The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).
This is how to solve the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
Then, we will 3 distribute in (2 ^ 3) ^ (x + 3), so that we get
2 ^ (3x +9) = 2 ^ (2x -5)
Since the bases on both sides of the equation are equal, we can equate the powers so that we get
(3x +9) = (2x -5)
Then we will collect like terms
3x - 2x = -5 -9
∴ x = -14
This solution could be better written in this format
[tex]8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14[/tex]
HELP PLS IF U DONT KNOW CEASE IT DONT ANSWER ONLY ACCEPTING VARIFIED ANSWERS !!!!!!
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Answer:
31%
Step-by-step explanation:
use the formula :
P(A&B) / P(B)
meaning :
probability that a student graduates while on fin aid / student on fin aid
= 1879/6101
=1879/6101 *100
= 30.798....
= 31%
if Kyle's terrarium had a volume of 64 ft3 ,what would the edge length be?
Answers
Answer:
4 ft
Step-by-step explanation:
Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)
V = [tex]x^{3}[/tex]
64 = [tex]x^{3}[/tex]
64 divided by 3 = 4 ft
Which expression does NOT have a Greatest Common Factor?
Answers
Answer:
4x^2-9
Step-by-step explanation:
i just took the quiz
This is about greatest Common factor (G.C.F) thus Option C and Option D does not have a greatest common factor.
What is Greatest common factor?The Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.
Option A; 2x² -18
Factors of 2 are 1, 2
Factors or 18 are; 1, 2, 3, 6, 9, 18
In this option we can see that 2 is the only common factor between all the numbers.
Thus, the GCF = 2 So this has a GCF
Option B: 3x² + 12x + 6
Factors of 3 are 1, 3
Factors of 6 are 1, 3. 6
Factors or 12 are; 1, 2, 3, 4, 6, 12
The highest common factor is 3 Thus, this has GCF.
Option C; 4x² - 9
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
Option D; 6x² + 2x² + 5x
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
To Read more about the concept at;
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81 minus 39
And can you explain how plz?. Lol i meed it asapp
Answers
Answer:
42Step-by-step explanation:
[tex]81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\[/tex][tex]\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\[/tex]
[tex]\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}[/tex]
Olga tried to solve an equation step by step.
1/4 (1/3k+9)=6
1/3k=15
k=5
Find Olga's mistake.
Answers
Answer:step 3
Step-by-step explanation:
she should have multiplied 15 x 3=45
k=45
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.
Answers
Answer:
(x-1)!
Step-by-step explanation:
lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!
Sophie drove 162 miles in 3 hours. How fast did she drive in hours per mile
Answers
Answer:
54 Miles Per Hour
Step-by-step explanation:
162/3
You can divide 162 by 3 making it 54
The figure below shows how Ali spends his time in a day. Calculate the number of hours Ali
spends on playing.
Answers
Answer:
75°C = 5h
Step-by-step explanation :
1. Make sure your mind is fresh and that you understand each step before reading
2. 24 hours is equal to 360°C
3. so now lets break up the hours. We can do this by choosing a simple degree that was given in the diagram. For example "Watching tv".
Tip : when choosing one of the degrees , ( i mean one of the choices like watching tv, playing and sleeping) , try choosing the simplest one , which has a simple number and a multiple of 360.
so now you want to know how many hours is 60 equal to .
= 360 ÷ 60 = 60 (this is to make sure the number is a multiple and will not be a decimal )
= 24 ÷ 6 = 4
this means Ali spend 4 hours watching tv
and by doubling that you get 60°C = 4h
the amount of time he slept 120°C = 8h
and you keep playing with the numbers like that
so for playing
60°C = 4h
divide by 4 15°C = 1h
× by 5 75°C = 5h
this means ali spends 5h playing , 8h sleeping, 4h watching tv and 7 h studding
Which function is most likely graphed on the coordinate plane below? f(x) = 3x – 11 f(x) = –4x + 12 f(x) = 4x + 13 f(x) = –5x – 19
Answers
Answer:
D
Step-by-step explanation:
It's D on Enginuity
The graph of the function in the coordinate plane is f(x) = –5x – 19.
What is a Graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
As per the given diagram:
The x intercept of the line = -ve
The y intercept of the line = -ve
For f(x) = 3x - 11
x intercept = +ve
y intercept = -ve
Hence, not possible
For f(x) = -4x + 12
x intercept = +ve
y intercept = +ve
Hence, not possible
For f(x) = 4x + 13
x intercept = -ve
y intercept = +ve
Hence, not possible
For f(x) = -5x - 19
x intercept = -ve
y intercept = -ve
Hence, possible
The function plotted on the coordinate plane is f(x) = –5x – 19.
To learn more on Graphs, click:
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what is the answer to
10 + (-4)
Answers
Answer:
6
Step-by-step explanation:
Note the rules for signs directly next to each other:
If there is two positive signs, the result will be positive.
If there is one positive and one negative sign, the result will be negative.
If there is two negative signs, the result will be positive.
In this case, there is a positive and a negative sign. You are, therefore, subtracting 10 with 4:
10 + (-4) = 10 - 4 = 6
6 is your answer.
~
I need help with this Algebra
Answers
Answer:
Step-by-step explanation:
f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76
g(4) = -4(4) - 1 = -16 - 1 = -17
Cuanto es la respuesta de -126=14k?
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \text{ - 126 = 14k}}[/tex]
[tex] \text{step \: 1 \: : Intercambia los lados de la ecuación}[/tex]
[tex] \hookrightarrow{ \sf{14k = - 126}}[/tex]
[tex] \text{step \: 2 : Divide ambos lados por 14}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{14k}{14} = \frac{ - 126}{14}}} [/tex]
[tex] \text{step \: 3 \: : Calcular}[/tex]
[tex] \hookrightarrow{ \sf{k = - 9}}[/tex]
[tex] \text{el valor de k es - 9}[/tex]
------------------------------------------------------------
Translation in English:
Step 1 : Swap the sides of the equation
Step 2 : Divide both sides by 14
Step 3 : Calculate
[tex] \sf{Hope \: i \: helped ! }[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \sf{TheAnimeGirl}[/tex]
please help help help
Answers
Answer:
I'm fairly sure its 4.93 grams.
Step-by-step explanation:
you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.
the density formula is D=M/V
D= Density
M=Mass
V=Volume
so it would be
D= 35.49/7.2
which is 4.93.
again this is just from what I remember of science class.
Answer: 4.93g/cm^3
Step-by-step explanation:
Formula for Density: D = mass / volume
We know that the mass of the unknown object is 35.49g
Mass = 35.49g
To find the volume
Initial water level: 45.1 mL
Final water level: 52.3mL
52.3cm^3 - 45.1cm^3 = 7.2cm^3
Volume = 7.2cm^3
Density = 35.49g/7.2^3
Density =
12 POINTS I NEED SOMEONES HELP BEFORE THIS DAY FINISHES
A town has a population of 2000 and grows at 4% every year. Write an
equation to represent the scenario
Answers
Answer:
2000+ (2000× .04x)
Step-by-step explanation:
2000 people plus the percent that it grows, found by multiplying .04 (4%) by the original number. the x is the number of years
Phil has drawn some house plans in which the lounge room will be 9.5 m long when it is built. This length has been drawn as 19cm on the house plan. What scale did Phil use for his house plans?
Answers
Answer:
1:50 scale
Step-by-step explanation:
9.5m * 100 = 950cm
950/19 = 50
What is the simplified expression for 5ab+9ab-ab? 0 12ad O 13ab 0 15ad O 16ab
Answers
Answer:
13ab
Step-by-step explanation:
5ab+9ab = 14ab. 14ab-1ab=13ab.
Good luck
Which is an example of deductive reasoning?
Answers
Answer:
In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.
Step-by-step explanation:
Answer:
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Step-by-step explanation: