PLEASE HELP ME QUICKKKKK
Suppose a triangle has a side lengths AB, BC, and x where AB=2 • BC. Find the possible range for x in the terms of BC.
The possible range for x, in the terms, of BC is BC < x< 3BC.
Triangle Inequality TheoremIn mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side). Therefore,
[tex]L1+L2 > L3\; (1)\\ \\ L1+L3 > L2\; (2)\\ \\ L2+L3 > L1\; (3)[/tex]
The question gives three sides: AB (L1), BC (L2) and x (L3). Also, you know that AB=2 BC.
Applying the equation (1) of rule for triangle side lengths, you have:
L1+L2> L3
AB+BC > x
2BC+BC > x
3BC > x
x< 3BC
Applying the equation (2) of rule for triangle side lengths, you have:
L1+L3 > L2
AB+x >BC
2BC+x > BC
x > -BC
Applying the equation (3) of rule for triangle side lengths, you have:
L2+L3 > L1
BC + x > AB
BC + x > 2BC
x > BC
The intersection of the inequalities results is the solution of this problem. Then, the possible range for x, in the terms, of BC is BC < x< 3BC. See the attached image.
Read more about the triangle inequality theorem here:
brainly.com/question/2403556
Please help me with this math.
#1
[tex]\\ \tt\Rrightarrow -1/4(-8x+12y)[/tex]
[tex]\\ \tt\Rrightarrow 2x-3y[/tex]
#2
[tex]\\ \tt\Rrightarrow 36a-16[/tex]
[tex]\\ \tt\Rrightarrow 4(9a-4)[/tex]
Dome Prep School is planning to plant sod to cover their combined track and football field. The field is rectangular in the middle, with a width of 160 feet and a length of 360 feet. On both ends, the field is semicircular,
Answer:
150 pallats
Step-by-step explanation:
help please find x (:
solve for N.
5 - N = 1 1/4
Step-by-step explanation:
5-n=11/4
5-n=2.75
collect like terms
n=2.75+5
n=7.75
I hope this was helpful
Which equation is equivalent to 4. 5 = 2a? a = 2. 5 a = 2. 25 4. 5a = 2 a 2 = 4. 5.
Answer:
a=2.25
Step-by-step explanation:
Given the equation 4.5=2a, you'd finds the value of "a" and divide both sides by 2.
4.5/2=a
2.25=a
a=2.25
Find g(x), where g(x) is the translation 3 units right of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
g(x)=x2 +8= (x-0)2+8
Step-by-step explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
3rd option
Step-by-step explanation:
the explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{-4}[/tex] = - 3 , then
[tex]a_{n}[/tex] = - 4 [tex](-3)^{n-1}[/tex]
A recipe uses 2 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints?
Answer:
24
Step-by-step explanation:
2 cups = 1 pint
2 cups = 12 serving
1 pint = 12 serving
2 pint = 12 x 2
2 pint = 24 serving
A survey in a school was conducted about whether students like meat, vegetables, both, or neither on their pizzaThe results are shown in the table
.Of all the students Who like vegetable on their pizza what percentage of those students that do not like me on your pizza
enter your answer to the nearest whole percent in the box
Using it's concept, it is found that of the students who like the vegetables on their pizza, the percentage that do not like meat is of 76.19%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, we have that:
105 students like vegetables on their pizza, hence b = 105.80 do not like meat, hence a = 80.Thus, the percentage is given by:
[tex]P = \frac{80}{105} \times 100\% = 76.19\%[/tex]
More can be learned about percentages at https://brainly.com/question/10491646
Answer:76.19%
Step-by-step explanation:
Find the quotient. (3. 683 × 104) (7. 51 × 1012) What is the solution in scientific notation? 4. 9041 × (-9)10 4. 9041 × 10-9 4. 9041 × 109 4. 9041 × 910.
The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).
We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).
[tex]\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}[/tex]
More about the division link is given below.
https://brainly.com/question/369266
Help! How do I do this?
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).
in the triangle LKM we know 2 angles already :
angle 1 = 44°
angle K = 90° (right angle).
so, angle 2 = 180 - 90 - 44 = 46°
and so, angle 5 = 180 - 46 = 134°.
as the angles around point L on line KL are the angles 2 and 5.
angle 5 = 134°
I need help.Im not very smart.
[tex]\frac{2}{3} x = 4\\2x = 4 * 3\\2x = 12\\x = 6[/tex]
Hope that helps!
\frac{1}{2}=21=\,\,-\frac{3}{4}+\frac{3}{5}x−43+53x
Answer:
what?
Step-by-step explanation:
Sean works at a book shop. He finds that when a book is chosen from the shop at random, the following probabilities are correct: P(non-fiction) = 0.37 P(paperback) = 0.23 P(both non-fiction and paperback) = 0.18 - Work out P(neither non-fiction nor paperback) as a decimal.
Answer:
0.22
Step-by-step explanation:
Add all the probabilities together then subtract it from 1
[tex]0.37+0.23+0.18=0.78[/tex]
[tex]1-0.78=0.22[/tex]
23. What is the value of x in the figure? (12x - 3)° 105°
Answer:
Step-by-step explanation:
12x - 3 = 105 (parallel to each other)
12x = 105 + 3
12x = 107
12x/12 = 107/12
x = 8.9
x = 9
Answer:
See attached image
Step-by-step explanation:
Carol and Peter to schoolCarol walks 3/5 a mile to walk to school Peter walks 0. 65 Which student has a father walk
Answer:
Peter.
Step-by-step explanation:
I’m assuming from context (your question was written poorly) you’re asking which student walked farther. This would be Peter. Why? Carol walked only 3/5 miles of the way to school, which would be .6 or .60
Peter walked .65 miles to school which is more than .60
The total cost for my brother's bowling party was $140 It cost $50 to reserve a bowling lane plus the cost of renting shoes for the 9 people attending.
How much is the cost of renting shoes per person?
Answer:
10
Step-by-step explanation:
140-50 = 90 90/9 =10
A 25-foot ladder is placed against a vertical wall of a
building, with the bottom of the ladder standing on
level ground 9 feet from the base of the building. How
high up the wall does the ladder reach?
Answer:
26.5ft
Step-by-step explanation:
Consider:
AB=25 ft
BC =9 ft
AC=?ft
[tex](AB)^2 + (BC)^2 = (AC)^2\\25^2+ 9^2=(AC)^2\\(AC)^2= 625+81\\[/tex]
AC=√706
AC=26.5 ft
Hope this helps! :)
(07. 04 LC)
Mellie is conducting a test on mold spores on bread. She uses 6 slices of bread to compare two strains of mold. She applies one strain to the left side of the bread and one strain to the right side. She flips a coin to decide which strain goes on the right side of the bread. The mold spores that appear on each side are counted and she records them in a table.
Bread Number of Spots for Strain 1 Number of Spots for Strain 2
1 30 19
2 21 17
3 15 15
4 13 12
5 6 9
6 8 4
If Mellie is to perform an appropriate t-test to determine if there is a mean difference between the number of spots per piece of bread produced by the two strains, how many degrees of freedom should she use?
a
4
b
5
c
6
d
10
e
12
Considering the t-test applied, the number of degrees of freedom is given by:
d. 10.
What is the number of degrees of freedom of a t-test?For a sample of size n, the number of degrees of freedom is given by:
df = n - 1
When there are m samples, the amount of degrees of freedom is m multiplied by the sum of degrees of freedom of each sample.
In this problem, there are 2 samples with 6 - 1 = 5 df, hence:
2 x 5 = 10.
Option d is correct.
More can be learned about a t-test at https://brainly.com/question/13873630
Percy wants to buy a guitar that costs $56. He plans to save the same amount of money each week for 7 weeks. How much money should Percy save each week so that after 7 weeks he will have exactly enough for the guitar? $5 $8 $48 $64
Answer:
$8
Step-by-step explanation:
Let x represent the amount of money he has to save each week.
We can use this to set up an equation:
[tex]7x=56[/tex]
Now, we have to "isolate the variable". This means we must have a resulting equation of [tex]x=\text{something}[/tex].
In this case, we can use the Division Property of Equality to divide both sides by 7:
[tex]\frac{7x}{7}=\frac{56}{7}\\x=8[/tex]
Therefore he must say $8 each week for 7 weeks so that he can buy the guitar.
In the data set below, what is the mean absolute deviation?
4 2 5 1 6
Answer:
2 1 8 0 3
Step-by-step explanation:
the devidation is a
this comment doesn't exist
Y=x+6 make x the subject
Answer:
x = y - 6
Step-by-step explanation:
Use PEMDAS to move x to the other side.
y=x+6
Subtract 6 from both sides to get rid of 6 on one side to make x the subject.
y-6=x
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{x=y-6}}[/tex]
[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]
Hi! Hope you are having a nice day!
In order to make x the subject, we need to solve for x.
It's easy, right?
We have
y=x+6
Move x to the left. Be sure to use the opposite operation.
y-x=6
Now, move y to the right:
-x=6-y
x=-6+y
or
x=y-6
There's an easier way:
y=x+6
y-6=x
x=y-6 (See? We ended up with the same answer :) )
Hope you could understand everything.
#CarryOnLearning
Express the series using sigma notation 5 -10 + 20 - 40 + 80 - ...
Answer:
[tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]
Step-by-step explanation:
The first term is 5 and the common ratio is -2. The general term for n starting at 1 can be written as ...
an = a1·r^(n-1)
If we start n at 0, then we can eliminate the -1 from the exponent:
[tex]\displaystyle \text{series}=\sum_{n=0}^{\infty}{5\cdot(-2)^n}[/tex]
WHATS THREE EIGHTHS TIMES TWO PLEASE HURRY
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}*2[/tex] = [tex]\frac{6}{8}[/tex]
6/8 = 3/4
PLEASE SOMEBODY HELP QUICK!!!!
Part A: What is the maximum amount, in dollars, of profit Michelle can earn from the sale of her necklaces?
Michelle will sell her homemade necklaces for $8 each
at a craft fair. It costs her $150 for the booth rental at
the craft fair. She made 200 necklaces to sell.
Part A: What is the maximum amount, in dollars, of
profit Michelle can earn from the sale of her necklaces?
Answer:
$1,600
Step-by-step explanation:
Because she made 200 and they were $8 each. 200 times 8 equals 1,600
Need help finding the coordinate rule
Answer:
(x, y ) → (x - 4, y - 3 )
Step-by-step explanation:
consider the coordinates of A and A'
A (0, 4 ) , A' (- 4, 1 )
0 to - 4 in the x- direction means subtracting 4
4 to 1 in the y- direction means subtracting 3
then translation rule is
(x, y ) → (x - 4, y - 3 )
An isosceles triangle has an angle that measures 112°. What measures are possible for the other two angles? Choose all that apply. 14, 84, 34, 20
FINDING UNKNOWN ANGLE MEASURES-SUPPLEMENTARY ANGLES--#5
Please help with all of them!
Answer:
See the first 3 problems solved below.
I added the next 3 problems.
Step-by-step explanation:
1.
2x + 4x = 180
6x = 180
x = 30
2x = 2(30) = 60
4x = 4(30) = 120
2.
3x + 6x = 180
9x = 180
x = 20
3x = 3(20) = 60
6x = 6(20) = 120
3.
8x + 10x = 180
18x = 180
x = 10
8x = 8(10) = 80
10x = 10(10) = 100
4.
7x + 8x = 180
15x = 180
x = 12
7x = 7(12) = 84
8x = 8(12) = 96
5.
2x + x = 180
3x = 180
x = 60
2x = 120
6.
2x + 2x = 180
4x = 180
x = 45
2x = 2(45) = 90
The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The angles ∠GFH = x and ∠CBD = 2x.
From the figure, the angles ∠GFH and ∠CBD are supplementary angles.
∠GFH + ∠CBD = 180°
x + 2x = 180°
3x = 180°
x = 60°
Then the measure of the angles ∠GFH and ∠CBD will be
∠GFH = 60°
∠CBD = 2 × 60°
∠CBD = 120°
The value of the variable x will be 60°. Then the measure of the angles ∠GFH and ∠CBD will be 60° and 120°.
More about the angled link is given below.
https://brainly.com/question/15767203
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