Answers
Answer:
12 ,,............,.,...,,,.
The value of x is 12 (Option a) if m∠2 = 6x - 12.
The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.
From the given information, we have:
m∠2 = 6x - 12
Since all angles of an equilateral triangle are equal, we can set up the equation:
m∠2 = m∠1 = m∠3
Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).
We can equate the measures of the angles:
y = 6x - 12
Now, let's solve this equation to find the value of x:
6x - 12 = y
Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).
6x - 12 = 60
Adding 12 to both sides:
6x = 72
Dividing both sides by 6:
x = 12
Therefore, the value of x is 12.
So, the correct option is: (a) 12
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Related Questions
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answers
Answer:
Step-by-step explanation:
70% or more 70% is most likely a b-
A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $66, while 10000 shirts can be sold at a price of $48. Give a linear equation in the form p
Answers
Answer: p = [tex]\frac{-n}{500} +68[/tex]
Step-by-step explanation:
Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:
p = mn + b, where
m = slope and b is the intercept
From the question, when n = 1000, p = $66
And, when n = 10,000 , p = $48
The formula for finding slope is given as:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
[tex]y_{1} = 66[/tex]
[tex]y_{2} = 48[/tex]
[tex]x_{1} = 1000[/tex]
[tex]x_{2} = 10000[/tex]
substituting the values,
m = [tex]\frac{48-66}{10000-1000}[/tex]
m = [tex]\frac{-18}{9000}[/tex]
m = [tex]\frac{-2}{1000}[/tex]
m = [tex]\frac{-1}{500}[/tex]
The linear equation thus becomes
p = [tex]\frac{-n}{500}+b[/tex]
To find the value of b, substitute p = 66 and n =1000 into the equation
That is,
66 = [tex]\frac{-1000}{500}+b[/tex]
66 = -2 + b
68 = b
Therefore b = 68
The linear equation is therefore
p = [tex]\frac{-n}{500} +68[/tex]
Select the correct answer.
Which statement is true about the graph of this equation?
y + 4 = 4(x + 1)
A.
The graph is a line that goes through the points (1,-4) and (0,0).
B.
The graph is a line that goes through the points (1,4) and (2,8).
C.
The graph is a line that goes through the points (-4,-1) and (-3,-3).
D.
The graph is a line that goes through the points (4,1) and (5,5).
Answers
I hope this helped you !!
Answer:
A
Step-by-step explanation:
The graph is a line that goes through the points (1,-4) and (0,0)
the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?
Answers
Answer:
75 words
Step-by-step explanation:
15*5=75
each dollar is five words, so times five by fifteen to get the number of words she can use.
Take these points. 25 of them. Will Thanks give brainiest and 5 star
Answers
Answer:
What do you need help with? Please go easy on me. I'm just a kid.
Step-by-step explanation:
HELP! QUICK! NO BOTS!
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I need help in Algebra
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Answer:
choice 1
Step-by-step explanation:
plug the points into each answer choices (guess and check)
Kayla bought 16 bagels. Each bagel cost $1.50. She paid a total of $20. Write an equation to determine how many bagels she bought.
Answers
I think it’s that, hope this helps
Shannon swam 100 meters in 56.24 seconds. Rick swam 100 meters
in 59.48 seconds. Rick took how many seconds longer to swim
100 meters than Shannon?
I’m kinda in a rush anyone mind helping?
Answers
Answer:
find the difference between the two times by subtracting them;
59.48-56.24= 3.24 seconds
Step-by-step explanation:
HELP ASAP
Explains how to evaluate the expression 4x+10 for x=5.
Answers
Answer:
30
Step-by-step explanation:
4x + 10 = 4*5 + 10 = 20 + 10 = 30
Find the percent decrease. Round to the nearest percent.
From 99°F to 72°F
Answers
Answer:
Step-by-step explanation:
71.28
Convert each of the following fractions into a decimals
Answers
a) .25
b) .6
c) .875
d) 3.3125
e) .06
f) 19.425
Zhanae Gregory bought a total of 25 books and CDs during a yard sale for a total of $65.50. If books cost $1.50 each and CDs cost $5 each, how many books did she buy?
Answers
Answer:
17 books
Step-by-step explanation:
In February, 1985, the cost of a gallon of milk was $2.26. In November of 2007, how much would that gallon of milk cost?
Answers
Answer:
is this the full question?
Can someone plsss help me with the 2 one
Answers
Answer: [tex]\sqrt{73}[/tex] for number 7
Step-by-step explanation:
a²+b²=c²
3²+8²=c²
9+64=c²
[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]
The y-intercept of a function f(x) is (0, b). What is the y-intercept of f(x) + k?
Answers
Answer:
Step-by-step explanation:
Can I follow you?
Answer:
Step-by-step explanation:
Two farms begin the year with $1,500 of extra saving in case they lose money at the year’s end.
Answers
And???? What are we computing, you just gave me a fact.
I need to fill out the GRAPH plss
Answers
Answer:
1 rabbit is 4 dollars
Step-by-step explanation:
for every rabbit you have, multiply it by 4 to find the number of dollars
Clarissa climbs into the back of the truck to tie the lawn mower in place. If she does 528 joules of working raising herself to the truck bed, how much force did she apply?
Answers
You want to purchase 7 Rubik’s cubes for a Rubik’s cube you are starting. A Rubik’s cube cost $7.99 How much does it cost to buy all seven to start your Rubik’s cube club
Answers
Answer:
just multiply 7.99 * 7. your tryna find how much 7 rubrics cubes cost so your answer should be 55.93 or 56
Step-by-step explanation:
What does the slope represent in this graph ?
Answers
Answer:
The steepness of the line
Step-by-step explanation:
3/3
What is the value of x?
x= 21
x = 28
x= 35
x= 37
Answers
you would always start off by 3x+4=15
5/4 divided by 10 plzzzzzzz
Answers
Answer:
0.125
Step-by-step explanation:
Hope it helps
Answer:
(5/4) / 10
= (5×10)/4
= 50 / 4
= 25/ 2
= 12.5
Step-by-step explanation:
brainliest plz
Need help thank you !
Answers
Exact form - 101/15
Decimal form - 6.73
Mixed number - 6 11/15
Answer:
Step-by-step explanation:
The lowest common denominator of 10 and 6 is 30.
9/10 = 3*9/10*9 = 27/30
1/6 = 5/1/(6 * 5) = 5/30
6 27/30 - 5/30 = 6 22/30 = 6 11/15
Answer 6 11/15
A girl can run 6 2/3 metres in one second. How long will it take her to run 100 metres?
HELP PLEASE.
Answers
Answer:
15 seconds
Step-by-step explanation:
How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.
First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)
Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15
Answer:
It will take the girl 15 seconds to run 100 meters
Step-by-step explanation:
100÷6 2/3 is 15
reverse it to see if your right: 15×6 2/3 is 100
have a good day, sorry if I'm wrong:)
(if I am wrong plz tell me<3)
Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5
Answers
Answer:
Step-by-step explanation:
Slope = m = -1/4
y-intercept = b = 5
Slope intercept form = y = mx +b
[tex]y =\dfrac{-1}{4}x+5[/tex]
Answer the question as soon as possible
Answers
Answer:
D. DistributiveStep-by-step explanation:
This is:
a(b + c) = ab + ac - Distributive propertyCorrect choice is D
what’s the mean of 8.3 9.1 8.1 8.7
Answers
Answer:
i don't know do you know
Step-by-step explanation:
Explanation: You add up all of the numbers which would get you 34.2 then divide it by how many there are, in this case 4
Need help ASAP please <3
the table given below shows the number of miles that teddy had been runninf over some of the past ten weeks
The number of miles that he runs per week can be represented as a linear function. What would be
the rate of change of this function in miles per week?
A) 1
B) 3
C) 6
D) 10
Answers
The rate of change of this function in miles per week is 3 miles per week.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a table as shown in the question.
The rate of change in miles per week is -
(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)
6/2 = 3/1
3 = 3
3
Therefore, the rate of change of this function in miles per week is 3 miles per week.
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Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what
Answers
4^t × 2^t = 2^what [convert all terms to the same base (2)]
∴ 2^t × 2^t × 2^t = 2^what [use the multiplicat law of exponents]
2^(t+t+t) = 2^what [simplify]
2^3t = 2^what
what = 3t
