The m<1=4x-30 and the m<5=2x+50. Find m<1 and m<7.
A. M<1=130 and M<7=130
B. M<1=130 and M<7=50
C. M<1=50 and M<7=50
D. M<1=50 and M<7=130
Answer:
D) m<1 = 50 m<7 = 130
Step-by-step explanation:
Lets set up the equation!
We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!
4x-30 = 2x+50
Add 30 to both sides
4x = 2x +80
Subtract 2x from both sides.
2x = 80
Divide both sides by 2
x = 40
Now that we know x we can just plug it into the expression of m<4 to find m<1
4x-30
4(40)-30
80 - 30
50
m<4 = 50
Because m<1 and m<4 are vertical angles they are congruent!
m<1 = 50
We also know m<4 and m<5 are congruent so m<5 = 50 as well.
Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.
x represents m<7
50 + x = 180
Now we solve by subtraction 50 from both sides
x = 130
m<7 = 130
Brainliest is appreciated!
Which graph represents y as a function of x?
9514 1404 393
Answer:
see below
Step-by-step explanation:
A graph represents a function when no vertical line will intersect the graph in more than one point.
What does 5/6 ÷ 8.5 equal, in fractions and division form
Answer:
5/51 or 0.098
Step-by-step explanation:
Step-by-step explanation:
5/6 ÷ 8.5
8.5 = 8 1/2 = 17/2
5/6 ÷ 17/2
5/6 × 2/17 = 5/51
Find the zeros of the function.
Enter the solutions from least to greatest.
f (x)=(x -3)(2x -8)f(x)=(x−3)(2x−8)
Answer:
The zeroes of the function are: 3 and 4
Step-by-step explanation:
Zeroes of a function are the values on which the function produces zero output. To find the zeroes of a function, the function is put equal zero and the values of the variable are found using the equation. The values of x are the zeroes of the function.
Given function is:
[tex]f(x) = (x-3)(2x-8)[/tex]
Putting the function equal to zero
[tex]f(x) = 0\\(x -3)(2x -8) = 0\\x-3 = 0\\x = 3\\2x-8 = 0\\2x = 8\\\frac{2x}{2} = \frac{8}{2}\\x = 4[/tex]
We get two values for x, x=3 and x=4
Hence,
The zeroes of the function are: 3 and 4
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
Step-by-step explanation:
is this a quadrilateral? or polygon or triangle?
what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive
Guys im kinda failing class. do you guys have any tips that might help me imporve my grades and not ne frowned upon my mother. p.s. to all the dumb people deleting me questions pls stop or i will do the same to you. plss give me some tips.
Answer:
(see explanation for details!)
1. More time for studying
2. Possibly change your study habits
3. Make sure that you are learning with the technique that works best for you
Step-by-step explanation:
1. Allow yourself more time to study. If this is a specific subject that you feel that you are struggling in, allow yourself more time in a day to study your notes and prep for classwork, tests, etc. in comparison to your other classes.
2. If you feel that your current studying method(s) is working for you, great! If not, there are so many other methods that may work better for you. There's tons of videos on the internet regarding ways to study, there's internet articles explaining ways, and so many other resources! You may learn new ways to take notes, find the perfect balance of studying and taking breaks, and possibly even new memorization techniques! Just find out what works best for you!
3. Ask yourself what kind of learning method you prefer. If you prefer working in groups, maybe meet up with some friends for a group study session in which you guys can discuss ideas and questions. If you can't meet in person, try a zoom call! If you prefer learning with visual methods, maybe find some videos on the topic with visuals to demonstrate! Try to study with your preferred method of learning as often as you can!
If you have any other questions, just let me know! I'm happy to help and hope these tips help as well! :)
An object placed in a graduated cylinder raised the volume from 12.2 mL to 14.5 mL. Find the volume of the object.
Answer:
2.3 mL
Step-by-step explanation:
This is called finding the volume by displacement. By subtracting the final volume and the initial volume you can determine how much the volume changed when the object was added. That change in voulme represents the volume of the object, so in this case:\
14.5-12.2 = 2.3 mL
The change in the volume of the object is, 2.3 mL.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
An object placed in a graduated cylinder raised the volume from 12.2 mL to 14.5 mL .
Here, An object placed in a graduated cylinder raised the volume from 12.2 mL to 14.5 mL .
Hence, The change in the volume of the object is,
⇒ 14.5 - 12.2 mL
⇒ 2.3 mL
Learn more about the subtraction visit:
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An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup? Will award brainliest!
Answer:
10 liters
Step-by-step explanation:
let sugar in x liters of 60 % sugar syrup be equivalent to sugar in 40 liters of 45 % sugar syrup.
x×60 %=40×45%
60x=40×45=1800
x=1800/60=30
40-30=10
so 10 liters of 60 % sugar syrup be replaced with 10 liters of distilled water to make 40 liters of 45 % sugar syrup.
Answer: The baker needs to pour off 10 liters of the solution and replace it with 10 liters of distilled water.
.6(40) = 24. .45(40) = 18 24-18 = 6 6 = .6(10) 10 liters must be substituted.
Step-by-step explanation:
The original 60% solution contains 24 L syrup and 16 L water.
A 45% solution must contain 18 L syrup and 22 L water.
The difference in syrup is 6 L. 10 L of the 60% solution contains 6 L syrup.
After pouring off 10 L, the remaining 30 L will contain 18 L syrup and 12 L water.
By adding 10 L water, the resulting solution is 18 L syrup and 22 L water.
18/40 = .45 which is the desired 45% syrup.
.
g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+
Answer:
Hi... U should do like this
The recursive formula will be g(n) = g(n-1) + 5
What is recursive formula ?"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
The first term of the sequence.
The pattern rule to get any term from its previous term.
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference."
Given,
[tex]g(n) = 1 + 5(n-1)[/tex]
Let the remaining term be x
Now,
[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]
So, [tex]g(n) = g(n-1) + 5[/tex]
And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]
[tex]g(1) = 6[/tex]
Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]
To know more about recursive formula here
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point (4,-3) is at a perpendicular distance of _____from the X-axis
Answer:
Need to see the axies plz show the axis so we can help u
Find the value of "x".
Answer:
x = 4.52984
Step-by-step explanation:
Since the triangle has a right angle you need to use the the trigonometric function cos (theta which is the angle given that isn't 90°) = adjacent / hypotenuse (adjacent is the side close to the angle you're using which is 22° and the hypotenuse is the longest side of the triangle that is in the away from the right angle)
From there you plug in the numbers which now become cos (22°) = 4.2 / x
Then you isolate the x by multiplying it to both sides so it's on the left and divide both sides by cos (22°) which will end you up x = 4.2 / cos (22°)
Then you just divide and you 4.52984
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct? Explain your reasoning.
i rlly need help someone pls help
The price of a skateboard was reduced from $80 to $50. By what percentage was the price of the skateboard reduced?
Answer:
37.5%
Step-by-step explanation:
80 - 37.5% = 50
Create a polynomial with the following attributes:
* degree is 3
* zeros are -2, 4, and 7
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Zeros :
[tex]x = - 2[/tex]
[tex]x = 4[/tex]
[tex]x = 7[/tex]
Thus ;
[tex]x + 2 = 0[/tex]
[tex]x - 4 = 0[/tex]
[tex]x - 7 = 0[/tex]
Multiply above equations :
[tex](x + 2)(x - 4)(x - 7) = 0[/tex]
Expand
[tex]( {x}^{2} - 2x - 8)(x - 7) = 0[/tex]
[tex] {x}^{3} - 7 {x}^{2} - 2 {x}^{2} + 14x - 8x + 56 = 0 \\ [/tex]
[tex] {x}^{3} - 9 {x}^{2} + 6x + 56 = 0[/tex]
[tex]y = f(x) = {x}^{3} - 9 {x}^{2} + 6x + 56 \\ [/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
3(x – 2) + 4x = 10(x + 1) will give brainliest
Answer:
x = -16/3
Step-by-step explanation:
cuanto es 100+100+0+0+0+0+0
Answer:
es 200
Step-by-step explanation:
100+100=200
0+0+0+0+0=0
4 out of the 20 students surveyed said candy was their favorite snack if there were 100 6th graders how many would choose candy
Answer:
20 students
Step-by-step explanation:
if you set a table with 4/20=?/100 then cross multiply and divide giving you 20
Answer:
20 6th Graders choose candy
Step-by-step explanation:
4/20 equals 0.2
so 100 time .2 equals 20
also 4/20 simplified is 1/5
you could mutiply (100 times 1/5 = 20)
A package of party favors contains 12 favors, of which 3 are bracelets. What is the probability that a randomly selected favor will be a bracelet?
1/4 is the probability that it will be selected
HELP ION GET THIS :(
Answer:
-2
Step-by-step explanation: use rise over run, start from bottom point, you go up 4, to the left 2. 4/-2=-2
Answer:
m=-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(-3-1)/(2-0)=-4/2=-2
Hope this helps; please vote brainliest.
how many triples of the 3 positive integers (x,y,z) are products of 24
Can you solve 3.5 x 4.9 using area models?
Answer:
the answer is 17.15
Step-by-step explanation:
Answer:
17.15
Step-by-step explanation:
3.5 x 4.9 = 17.15
-TheUnknownScientist
If m∠2 = 23° and m∠3 = 68°, what is m∠1
Answer:
if this is a triangle it is 89º
Step-by-step explanation:
because all the angles in a triangle add up to 180
for each graph find the slope
Answer: -1/2, 3/2, -1/3
Change in y over change in x
Can someone please explain this to me?
HELPPPPPP #6 ASAPPPPPPPPP PLEASEEEE
Answer:
D.
Step-by-step explanation:
A baseball team has a record of 47 wins and 39 losses. How many games must the team win, in a row, so that the winning percentage will be above 70%?
A: 23 wins
B: 13 wins
C: 14 wins
D: 32 wins
E: 44 wins
Answer:
44 wins
Step-by-step explanation:
47+39+x/100*70
A baseball team has a record of 47 wins and 39 losses, then they have to win 44 games in a row so that their winning percentage will be above 70%. Hence, option E is correct.
What is the percentage?The Latin term "per centum," which signifies "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentage are fractions. To put it another way, it's the relationship here between component and a whole, in which the value of the whole is always assumed to be 100. A specific portion or amount in each hundred is referred to as the percentage. The fraction is denoted by the sign "%," and its denominator is 100.
Finding the proportion of a whole in units of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:
Through the unitary approach.By making 100 the new denominator of the proportion.To know more about Percentage:
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NEED HELP ASAP Find the value of x. Round to the nearest tenths place.
Answer:
x = 77.8 ft
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
Step 2: Solve for x
Substitute: sin40° = 50/xMultiply x on both sides: xsin40° = 50Divide sin40° on both sides: x = 50/sin40°Evaluate: x = 77.7862Round: x = 77.8 ftplease help me with the last question, i tried 48 lol
Answer:
108:72
Step-by-step explanation:
Answer:
The missing value in the ratio that will appear next is: 108 and the ratio is 108:72
Step-by-step explanation:
The pattern of equivalent ratios is given in the picture.
The ratios are equivalent which means that the simplest form of ratio will be same for all ratios in the pattern.
So,
[tex]\frac{18}{12} = \frac{36}{24} = \frac{54}{36} = \frac{72}{48} = \frac{90}{60} = \frac{3}{2}[/tex]
This means that the simplest form of ratio for upcoming in the pattern will be 3/2
Let x be the missing value in ratio
Then
[tex]\frac{x}{72} = \frac{3}{2} \\x = \frac{3}{2} * 72\\x = 108[/tex]
Hence,
The missing value in the ratio that will appear next is: 108 and the ratio is 108:72
hi i need to know if this is a function?
Answer:
NO
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
There is not a constant and equal change on both sides.