someone please help me with this! please write out the steps as well, thank you!
Answers
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
Related Questions
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
Answers
Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
Find out more information about function and translation here
https://brainly.com/question/21145944
https://brainly.com/question/23961993
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a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min
Answers
Answer:
estimated number of pages it can print will 80 in 1 min.
Step-by-step explanation:
If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.
we get
12/9 then multiply by 60 you will get 80 pages in 1 minute.
Number of pages a printer can print in 9 seconds = 12 pages
Number of pages than can be printed in 1 second =
= 12/9
= 1.3 pages
Number of pages that can be printed in 1 second = 0.75 page
Number of pages that can be printed in 1 minute =
= 1 minute = 60 seconds
Number of pages that can be printed in 60 seconds =
= 1.3 × 60
= 78 pages
Rounding off 78 , we get 80 .
Therefore , 80 pages can be printed in 1 minute .
how do i graph 2x+4y=12
Answers
Answer:
(0,3) (6,0)
Step-by-step explanation:
Brad sells each cup of lemonade for $0.50 he wrote.
Answers
Answer:
What are we supposed to solve??? its incomplete
Step-by-step explanation:
dose anybody know this? could you provide the step by step
Answers
Use Graphs A-D for Exercises 9-11. During the winter, the amount of water that flows
down a river remains at a low constant. In the spring, when the snow melts, the flow of
water increases drastically, until it decreases to a steady rate in the summer. The flow
then slowly decreases through the fall into the winter. Consider the graphs shown.
A.
B.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
C.
D.
Water (gallons per second)
Water (gallons per second)
Season (winter-fall)
Season (winter-fall)
9. Which graph best represents the given situation?
Graph B
10. Describe the other three graphs.
11. What are possible situations for graphs B, C, and D?
Answers
did u get the awnsers?
b) Simplify 2-(3-a) = -4
Answers
Answer:
-1+a
Step-by-step explanation:
2-(3-a) = (2-3-(-a)) = -1+a
Answer:
a=-3
Step-by-step explanation:
First off subtract 2 from both sides:
-(3-a)=-6
Then distribute the negative:
-3+a=-6
Finally add 3 to both sides:
a=-3
tadah!!
Hope that helps.
Plsss helppppssssss me :< and explain thatttttt
Answers
Answer:
you need to take a better picture nobody can see that i not trying be be rude
Step-by-step explanation:
Answer:
upload clear picture, it is very easy
Step-by-step explanation:
PLEASE HELP THERE ARE TWO PARTS!!
The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I
Answers
Answer:
The constant of proportionality of the graph is 0.75
Step-by-step explanation:
The coordinates of the points on the lines are;
(400, 300), (250, 187.5), and (120, 90)
Which can be written in a tabular form as follows;
Number of US dollars [tex]{}[/tex] Number of euros
120 [tex]{}[/tex] 90
250 [tex]{}[/tex] 187.5
400 [tex]{}[/tex] 300
Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c
Where;
c = The y-intercept (where the graph meets the y-axis) = 0
m = The slope = The constant of proportionality
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]
We have, y = m·x = 0.75·x.
Therefore, the constant of proportionality of the graph = 0.75.
someone please help! I’ll give brainliest!!
Answers
Given m//n, find the value of x
Answers
Answer:
117 is the value of you Question
Step-by-step explanation:
The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?
Write the equation to be used to solve this equation.
Answers
Answer:
12 species
Step-by-step explanation:
37-N=25
working backwards
25-37=N
=25-37=12
write a real world problem that can be solved using the distributive property
Answers
Answer:
10 + 2. 3(10 + 2) = ? something like that I think .
Step-by-step explanation:
What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)
Answers
5x5 = 25
9 x 4 = 36
- and a + equals a -
Answer: The answer is A, (5x+6)(5x-6)
Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.
Find the value of x.
Answers
Answer:
sdf
Step-by-step explanation:
sdff
For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:
132 + 4 + x = 180
Add 132 and 4.
136 + x = 180
Subtract 136.
x = 44
You are right!
For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:
68 + x + 9 = 90
Combine 68 and 9.
77 + x = 90
Subtract 77.
x = 13
Hope this helps
12=6x+3y solve for y
Answers
Answer:
1 1/3 = y
Step-by-step explanation:
12 = 6x + 3y
12 = 9y
12/9 = y
1 1/3 = y
Hope this helped!
what do reflections have that dilation do not
Answers
Answer:
A reflection is the same just on the opposite side a dilation enlarges or enhances it along with flipping it thats what makes them different please give me brainliest.
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what rate has Ashley ridden her horse in rounds per hour?
Answers
Answer:
40
Step-by-step explanation:
Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals.
Answers
Answer:
Diagonal Length
AC 7.21
BD 7.21
Step-by-step explanation:
Answer:
Diagonal | Length
AC | 7.21
BD | 7.21
Step-by-step explanation:
-edmentum
[(2r^2t)^3/4t^2]^2 simply
Answers
Answer:
=4r12t10
Step-by-step explanation:
m= -(4+ m) + 2
m=
what’s m?
Answers
Answer:
m = -1
Step-by-step explanation:
m= -(4+ m) + 2
Distribute
m = -4-m+2
m = -2-m
Add m to each side
m+m = -2-m+m
2m = -2
2m/2 = -2/2
m = -1
Which expressions are equivalent to 3x + 3(x + y)?
Choose all answers that apply:
A 6x + 3y
B 3(x + x + y)
C 3ay
Answers
3x + 3x - 3y
6x - 3y
your answer would be A
Answer:
A and B
Step-by-step explanation:
3x+3(x+y)
3x+3x+3y
6x+3y
B
3(x+x+y)
3x+3x+3y
6x+3y
This year, there were 25% fewer sunny days than last year. That’s my question.
Answers
If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.
A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?
Answers
Answer:
u = t/18 - 5
Step-by-step explanation:
45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games
plug in two:
90 + 18u = t
solve in terms of u:
18u = t - 90
u = t/18 - 5
can i get a thanks and brainliest please?
Look at the table. Bob ran 3 miles in 18 minutes. Complete the table:
Answers
Answer:
First one, Third one, Fifth one, and the last one too.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, make a ratio:
18 min/ 3mile = 6 min/mile
now multiply to finish the table:
1: 6
3: 18
5: 30
10: 60
25: 150
plz help me with this i do not understand math stuff
Answers
Answer: Pink choice: y= -6x -2
Step-by-step explanation:
In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. ("co-efficient" of x in math talk)
In the given equation, that is -6. (So that knocks out the first two choices)
The other thing to look at is the y-value of the given coordinate,(-1,4)
(The y-value is the second number in the coordinate (x.y) is the pattern)
and compare it to the the last number in the equations in the choices and Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because +4 in this equation is where the line crosses the y-axis. ("y-intercept" in math talk) So yellow choice is out!
The attachment shows what the graphs of the choices look like.
The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3) And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)
I hope the diagram and explanation helps you understand better. It can be confusing.
suppose that there were a positive correlation between the variables u and v. if v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
Answers
Answer: 48
Step-by-step explanation: I got it wrong and it said the correct answer was 48
Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?
Answers
Answer:
I would say your answer is (D
Which table represents a function?
Answers
Answer:
The table that starts with (-3, -1)
Step-by-step explanation:
For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it
Answer: the first box
-3 -1
0 0
-2 -1
8 1
Step-by-step explanation: the x value can not repet it self but the y value can
£1=$1.62
£650 in dollars
$405 in Pounds
Answers
605 pounds is 840.25 dollars
405 dollars is 313.30 pounds
Answer:
£650= 840.25$
$405= 313.30£
Step-by-step explanation: