Answers
The possible values of x for the given triangle ABC are 0.75<x<8.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Given that, m∠A < m∠B < m∠C.
a) From triangle ABC,
BC<AC<AB
2x+3<6x<5x+8
Now, 2x+3<6x
Subtract 2x on both the sides of an inequality, we get
3<4x
Divide 4 on both the sides of an inequality, we get
0.75<x
Here, 6x<5x+8
Subtract 5x on both the sides of an inequality, we get
x<8
So, possible values of x are 0.75<x<8
b) From triangle ABC,
BC<AC<AB
3x+1<4x+8<7x+2
Now, 3x+1<4x+8
Subtract 3x on both the sides of an inequality, we get
1<x+8
Subtract 8 on both the sides of an inequality, we get
-7<x
Here, 4x+8<7x+2
Subtract 4x on both the sides of an inequality, we get
8<3x+2
Subtract 2 on both the sides of an inequality, we get
6<3x
Divide 3 on both the sides of an inequality, we get
2<x
So, possible values of x are -7<x<2
Therefore, the possible values of x for the given triangle ABC are 0.75<x<8.
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Related Questions
A basketball is shipped in a cube-shaped box. The basketball just want touches the sides of the box. What is the radius of the ball? What is the volume?
Answers
Answer:
The answer is "4.8 and 463.011"
Step-by-step explanation:
Please find the complete question in the attached file.
Given:
side[tex]= 9.6 \ in\\\\[/tex]
let the radius of the ball
[tex]2r=9.6 \ in\\\\r=\frac{9.6}{2}\\\\r= 4.8 \ in\\\\[/tex]
The radius of the basketball [tex]= 4.8 \ in\\\\[/tex]
The volume of the basketball[tex]=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14 \times 4.8^3= 463.011 \ in^3[/tex]
Theater tickets sold for $7.50 on
the main floor and $, in the
balcony. The total revenue was
$3250, and there were 100 more
main-floor tickets sold than
balcony tickets. Find the number
of each type of ticket sold.
(in Substitution method)
Cant figure the work out :/
Answers
Let y = number of balcony tickets sold
x + y = total tickets sold
7.50x + 5y = total revenue
x + y = 250
7.50x + 5y = 3250
Substitute x + y = 250 into 7.50x + 5y = 3250
7.50(250) + 5y = 3250
1875 + 5y = 3250
Subtract 1875 from both sides
5y = 1375
Divide both sides by 5
y = 275
Substitute y = 275 into x + y = 250
x + 275 = 250
x = -25
Since x cannot be negative, the equation is not valid. Therefore, the number of tickets sold cannot be determined.
Hope this helped!!! :)
Adine is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?
Answers
The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).
What is a parallel line?Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel.
Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. A line and a plane that do not share a point are also referred to as being parallel in three-dimensional Euclidean space. But skew lines are used to describe two noncoplanar lines.
We know that slope of parallel line are same. Thus, slope is 5 in y = 5x + 9
Now we need to put the values in y intercept form to find out the equation
y - y1 = m(x - x1)
y - (-3) = m(x - (-2))
y + 3 = 5(x + 2)
y = 5x + 10 - 3
y = 5x + 7
Thus, The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).
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Caroline was thinking of a number. Caroline halves it and gets an answer of 34.7. What was
the original number?
Answers
Answer:
69.4
Step-by-step explanation:
34 + 34 = 68
.7+.7=1.4
68+1.4= 69.4
Shelby is creating a budget for the week. At her job, she earns $15. 50 per hour. Her rent costs $300. Shelby wants to have at least $280 left over after paying rent. Which inequality shows how many hours, h, Shelby should work?
PLEASEEE ANSWERR LOL
Answers
The inequality which shows that Shelby should work for h hours is given by 15.5 h - 300 ≥ 280.
Given that,
Rent = 300 dollars
Shelby wants to have at least $280 left over after paying rent.
The total earnings of Shelby calculated in a week are given as, 15.5 h
where,
h is the number of hours
To that we have to substract the rent amount, and we'll get how much does she have left after paying rent,
15.5 h - 300
And she wants this amount to be at least 280 dollars. The inequality can therefore be expressed as follows,
15.5 h - 300 ≥ 280
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Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
Answers
The table shows a bacterial population y after x days
days, X 0,1,2,3,4
Population,8,24,72,216,648
Write an exponential function that represents the population
Y=
Answers
The exponential function that represents the population is y = a*3^x.
What is exponential function?
The formula for exponential functions is y = ab^x, where b is the constant ratio and a is the starting point. Observe that as the value of x increases by a constant amount, the value of y increases by a common ratio by looking at a table of ordered pairs. All exponential functions share this trait.
We have to find the exponential function for the given table.
Since,
Exponential function = ab^x
where,
a is the starting point
b is the common ratio.
Here,
Common ratio = 24/8 = 72/24 = 216/72 = 648/216 = 3
So, the function becomes,
Exponential function = y = a*3^x
Hence, the exponential function that represents the population is
y = a*3^x.
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I need help I been asking for hours pls help
Answers
Answer:
419 ft
Step-by-step explanation:
1063 ft is about 324002.4 mm
324002.4/477 to get the scale ratio. Which is 679.25:1
I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.
188*679.25=127699mm for one side.
Convert that back to ft and you get 418.959 which would just be 419 ft
Answer:
419 ft
Step-by-step explanation:
convert ft to mm: 1063 ft ≈ 324002.4 mm (I just used g00gle)
324002.4/477 ≈ 679.25, the real Eiffel tower is ≈ 679.25 times larger
188 x 679.25 = 127699 mm
convert mm to ft: 127699 mm ≈ 418.96 ft ≈ 419 ft
ITEMS
.
Paula purchased 8 erasers for $100.00. Calculate the cost of 12 erasers.
Answers
Answer:
$150
Step-by-step explanation:
100/8=12.5
12.5*12=150
The radius of a circle is 7 inches. What is the circle's circumference?
Answers
Answer:
43.98
Step-by-step explanation:
have a nice day :)
2 x 3.14 x 7
i need help on both sections PLEASE!!!
Answers
Answer:
Step-by-step explanation:
a.3x-2
b.3x+2
c.3x-2
d.3x-2
so. the answer are a, c, d equivalent to 3x-2
NEED HELP ASAP 50 POINTS
Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
What is the m∠ADC ?
Enter your answer in the box
º
Answers
Answer:
Angle ADC = 7x - 6°
Step-by-step explanation:
4x - 12 + 3x + 6 = 7x - 6
Answer:
120°Step-by-step explanation:
Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:
m∠ADB = m∠CDBSubstitute the values and solve for x:
4x - 12 = 3x + 64x - 3x = 6 + 12x = 18Find the value of ∠ADC:
m∠ADC = 2(4*18 - 12) = 120°60 POINTS PLS HELP!!
8 to the 3rd power over 8 rewritten using using a single positive exponent [tex]\frac{8^{3} }{8}[/tex]
Answers
Answer:
it is 8^2.
Step-by-step explanation:
8 ^ 3 = 8 x 8 x 8
8^3/8 = 8 x 8 x 8 / 8
you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2
Answer:
Solution given:
single positive exponent
[tex]\frac{8^{3} }{8}=8^{3-1}=8² [/tex]
single positive exponent is 8².
Note:
we have
[tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]
Which triangle is a translation of triangle X?
Answers
Answer:
triangle B
Step-by-step explanation:
...............
NEED HELP ASAP
PLEASE HELP, WILL GIVE BRAINLIEST
Answers
Answer:
8 1/8
Step-by-step explanation:
1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)
3 times 4 + 3 = 15, so we get 15 over 4
4 times 8 + 3 = 35, so we get 35 over 8
Next I am going to give them a common denominator. (Their least common multiple is 8)
one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)
15/4 times 2/2 = 30/8
Now we add the two fractions (DO NOT ADD DENOMINATORS)
30/8 + 35/8 = 65/8
Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.
What is another way to describe the following expression?
5 - (x + y)
A. the difference of 5 and the cube of the sum of x and y
B. the product of 5 and the sum of x and y
C. the product of 5 and the cube of the sum of x and y
D. the difference of 5 and the sum of x and y
Answers
A. The difference of 5 and the cube of the sum of x and y
How do you find the sides of a triangle with angles on a 45 45 90?
Answers
the given triangle A 45-45-90 triangle is a right triangle having interior angles measuring 45°, 45°, and 90° in degrees.
A 45-45-90 triangle is also an isosceles triangle, which means that its two legs are equal in length.
All 45-45-90 triangles are similar to each other.
Line segments DE and FG are perpendicular to side AB of the 45-45-90 triangle, ABC. Triangles ADE and AFG are also 45-45-90 triangles now, △ABC~△ADE~△AFG.
The ratio of the side lengths of a 45-45-90 triangle is:
ratio= 1:1: √2
The legs of opposite the 45° angles (the shorter sides) are √2÷2of the length of the hypotenuse (the side opposite the 90° angle)
The hypotenuse is √2 times the length of either leg.
Since a 45-45-90 triangle is also an isosceles triangle, then, the two legs are equal on measuring. Assuming x is the length of the leg and b is the length of the hypotenuse and using the Pythagorean Theorem:
x^2 + x^2= b^2
Thus, the ratio of the side lengths of a 45-45-90 triangle are x:x:√2 or 1:1: √2 respectively.
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Sharon and Sue are making muffins. Sharon uses 3 cups of milk, and Sue uses 1 pint of milk. Who uses the greater amount of milk? Explain.
Answers
answer:
Sharon used more milk because 3 cups equal 1.5 (one and a half) pints.
Detailed answer:
1 cup equals 0.5 pints or half of a pint. So if you take 0.5 and multiply it by 3 you get 1.5 and that is the amount of pints that Sharon uses but Sue uses 1 pint or 2 cups. so 1.5 pints is grater than 1 pint by 0.5
(sorry if this was not so clear i am not that good at explaining things, also i hope this helps and you get a good score on whatever you are doing.)
Last week, a dairy farm produced n kg of cheese.
The dairy farm also produced 30 kg more yoghurt than cheese and 4 times
as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last
week.
Write and solve an inequality to work out the possible values of n.
Answers
Answer:
The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.
The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.
Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:
4n > 30 + n
Subtracting n from both sides gives us:
3n > 30
Dividing both sides by 3 gives us:
n > 10
Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.
Step-by-step explanation:
Tell whether the rates are equivalent. 7 1/2 miles for every 3/4 hour 1/2 mile for every 3 minutes
Answers
Answer:
Yes, they are equivalent
Step-by-step explanation:
Tell whether the rates are equivalent.
Rate formula = Speed(miles)/Time(hour)
1)7 1/2 miles for every 3/4 hour
Hence
Rate = 7 1/2 miles ÷ 3/4 hour
= 15/2 ÷ 3/4
= 15/2 × 4/3
= 5 × 2
= 10 miles per hour
2) 1/2 mile for every 3 minutes
Time = 60 minutes = 1 hour
3 minutes = x
x = 3/60
x = 0.05 hour
Hence
Rate = 1/2 mile ÷ 0.05 hour
= 0.5 mile ÷ 0.05 hour
= 10 mile per hour
Therefore, both rates are equivalent
heeeeeeeeeeeeeeeeeeelp?
Answers
Answer:
-
Step-by-step explanation:
There needs to be more information. Where is the point at?
Which is closest to the quotient 4,367 -- 0. 004?
1,000
10,000
100,000
1,000,000
Answers
Answer: 1000
Step-by-step explanation:
i took this quiz before ! !
HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!
Answers
Answer:
C
Step-by-step explanation:
Any parallel line to the Y axis is infinite/undefined. Which means no function at all.
solve for x round to the nearest tenth. hurry!!!
Answers
Answer:
Law of cosines:
[tex] {x}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) \\ = {12}^{2} + {15}^{2} - 2(12)(15) \cos(144) \\ = 144 + 225 - 360( - 0.809) \\ = 660.246 \\ x = 25.7[/tex]
EKA MATH²
6 M2 TD Lesson
▸
A trainer at a gym earns $2,456.75 every month. She earns an extra $4.75 every time she sells
a gym membership. Last month, the trainer sold 32 gym memberships. What is the total amount
of money the trainer earned last month?
Answers
Answer: We know that the trainer earns $2,456.75 every month, and she earns an extra $4.75 every time she sells a gym membership.
And last month she sold 32 gym memberships
We can calculate the total amount of money the trainer earned from selling gym memberships by multiplying the number of memberships sold by the amount earned per membership:
32 memberships * $4.75 per membership = $152.00
To find the total amount of money the trainer earned last month, we can add the amount earned from selling gym memberships to the amount earned from her salary:
$2,456.75 + $152.00 = $2,608.75
So, the total amount of money the trainer earned last month is $2,608.75
Step-by-step explanation:
2
The scores of seven people playing a card game are listed below.
56, 103, 114, 80, 141, 68, 150
What is the interquartile range of the scores?
OA. 35
OB. 73
O C. 102
OD. 94
Answers
Answer:
B. 73
Step-by-step explanation:
An explanation is in the picture if you need it.
ANSWER IM DESPERATE 10 POINTS EACH+BRAINLY IF CORRECT
Answers
y=0
Answer in photo below. Good luck
How do you know which inequality represents a graph?
Answers
In order to determine which inequality represents a graph, you need to look at the inequality and identify if the equation is an open or closed interval. If it is an open interval, it will be represented by a dashed line on the graph. If it is a closed interval, it will be represented by a solid line on the graph.
1. Look at the inequality and identify if the equation is an open or closed interval.
2. If it is an open interval, it will be represented by a dashed line on the graph.
3. If it is a closed interval, it will be represented by a solid line on the graph.
4. Determine the starting and ending points of the inequality, and plot them on the graph.
5. Draw the line that connects the two points, either dashed or solid, depending on whether the interval is open or closed.
6. Shade the area of the graph that is represented by the inequality.
7. Label the graph with the inequality, the points, and the shading.
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Is -3 less than or greater then -8
Answers
answer:
yes, -3 is greater than -8
explanation:
-3 is closer to the 0 on a number line making it greater
hope this helped!
what is the axis of symetery for (0,-4)
Answers
Answer:
the axis of symmetry is 0 which is x=0
Step-by-step explanation: