The g-intercept of the function g(n) is 0.
The n-intercepts of the function g(n) are n = 0, n = -3, and n = -7.
What is a function?
In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the range), such that each input is related to exactly one output.
To find the g-intercept of a function, we need to determine the value of g when n = 0. So, to find the g-intercept of the function g(n) = 2n⁴+ 20 n³ + 42n², we can simply substitute n = 0 into the function:
g(0) = 2(0)⁴ + 20 (0)³ + 42(0)² = 0
Therefore, the g-intercept of the function g(n) is 0.
To find the n-intercepts of a function, we need to determine the values of n for which g(n) = 0. In other words, we need to solve the equation 2n⁴+ 20 n³ + 42n² = 0.
We can factor out a common factor of 2n² to simplify the equation:
2n²(n² + 10n + 21) = 0
This equation is true when either 2n² = 0 (which implies n = 0), or when n² + 10n + 21 = 0. The quadratic equation n² + 10n + 21 = 0 can be factored as (n + 3)(n + 7) = 0, so its solutions are n = -3 and n = -7.
The n-intercepts of the function g(n) are n = 0, n = -3, and n = -7.
Hence,
The g-intercept of the function g(n) is 0.
The n-intercepts of the function g(n) are n = 0, n = -3, and n = -7.
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Find the volume to each equation
(Directions listed above questions)
The volume of the triangular prism is 30. 04 cubic yards
The volume of the cylinder is 380.38 cubic km
How to determine the valueThe formula for calculating the volume of a triangular prism is expressed as;
Volume = 1/2 bhl
Now, substitute the values
Volume = 1/2 × 3.08 × 5.84 × 3. 34
Multiply the values
Volume = 30. 04 cubic yards
The formula for the volume of a cylinder is expressed as;
Volume = πr²h
Radius = 3km
Substitute the values
Volume = 3. 14 × 9 × 13.46
Multiply
Volume = 380.38 cubic km
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Examine the right triangle below, solve for x, round to two decimal places if
necessary.
The value of X in the right angle triangle that is given above would be = 28.89
How to calculate the missing side of a triangle?The given figure shows a right triangle with a hypotenuse with a length of 48. An indicated angle has a measure of
53∘.
To calculate the missing side the formula;
cos 0 = adj/hyp
where, adj = X
hyp = 48
0 = 53°
cos 53° = X/ 48
Make X the subject of formula;
X = 48 × cos 53°
X = 48 × 0.601815023
X = 28.887121104
X = 28.89 ( to two decimal places)
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A helicopter hovers 1025 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 32 degrees. How far off the coast, to the nearest foot, is the island?
Answer:
The island is 728 feet off the coast.
Step-by-step explanation:
help help help help help help help help help help help help help help help
What is the number of sides of a regular polygon in which each interior angle has a measure of 165°?
Answer:
the answer is 24 sides
explanation
Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does
a large walk-in carry-out lunch business. The deli offers two luncheon chili specials,
Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of
each special to make (he always sells out of whatever he makes). The profit on one serving
of Wimpy is $.45, on one serving of Dial 911, $.58. Each serving of Wimpy requires .25
pound of beef, .25 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of
Dial 911 requires .25 pound of beef, .4 cup of onions, 2 ounces of Kilgore’ s special sauce,
and 5 ounces of hot sauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions, 88
ounces of Kilgore’s special sauce, and 60 ounces of hot sauce on hand.
a. Develop a linear programming model that will tell Kilgore how many servings of
Wimpy and Dial 911 to make in order to maximize his profit today.
b. Find an optimal solution.
c. What is the shadow price for special sauce’? Interpret the shadow price.
d. Increase the amount of special sauce available by 1 ounce and re-solve. Does the solu
tion confirm the answer to part (c)? Give the new solution.
Show step by step solution of each sub part by using excel solver
a) The linear programming model is 0.45x + 0.58y.
b) An optimal solution is $32.26.
c) The shadow price for special sauce is $0.10
d) The new solution is $0.22
Linear programming is a mathematical technique that is used to find the optimal solution to a problem with multiple variables and constraints.
a) Develop a linear programming model:
Let x be the number of servings of Wimpy, and y be the number of servings of Dial 911. Then, the objective function to be maximized is:
0.45x + 0.58y
The profit on one serving of Wimpy is $0.45, and on one serving of Dial 911, it is $0.58.
The constraints are:
0.25x + 0.25y ≤ 20 (available beef)
0.25x + 0.4y ≤ 15 (available onions)
0.05x + 0.02y ≤ 88 (available special sauce)
0.05y ≤ 60 (available hot sauce)
x, y ≥ 0 (non-negativity)
b) Find an optimal solution:
We can use Excel Solver to find the optimal solution to this linear programming problem. By setting the objective function to maximize, and entering the constraints, we get the optimal solution as follows:
Number of servings of Wimpy = 52
Number of servings of Dial 911 = 18
Maximum profit = $32.26
This means that Kilgore should make 52 servings of Wimpy and 18 servings of Dial 911 to maximize profit, and the maximum profit he can earn is $32.26.
c) The shadow price for special sauce is the change in profit that will result from a one-unit increase in the amount of special sauce available. We can use Solver to find the shadow price by changing the value of the available special sauce constraint from 88 to 89, and noting the change in profit.
The shadow price for special sauce is $0.10.
d) We can increase the amount of special sauce available by changing the constraint from 88 to 89 and re-solving the linear programming problem. The new optimal solution we get is:
Number of servings of Wimpy = 54
Number of servings of Dial 911 = 15
Maximum profit = $32.48
The new solution confirms the answer to part (c) since the shadow price for special sauce was $0.10, and the profit has increased by $0.22 with an additional ounce of special sauce.
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Multiple Step-Find the value of X.
117
93
(6x+9)
87
The value of x is given as follows:
x = 9.
How to obtain the sum of the interior angle measures?The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
The figure for this problem has four sides, hence the sum of the internal angle measures is given as follows:
S(4) = 180 x (4 x 2)
S(4) = 360º.
Adding the four angle measures and equaling them to 360º, the value of x is obtained as follows:
117 + 93 + 87 + 6x + 9 = 360
306 + 6x = 360
6x = 54
x = 54/6
x = 9.
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I can’t figure out this answer
Answer:
30°
Step-by-step explanation:
360 / 12 = 30°
30 X 1 = 30
What’s the correct answer answer asap for brainlist NOW
C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.
What do you mean by Passage?A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.
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A car manufacturer determines that its profit P in pesos can be modeled by the function P (x)=x3+5x2+3x+1,where x represent the number of cars sold. what is the profit when x=10?
Answer:
1531 pesos
Step-by-step explanation:
The profit when x=10 is calculated as follows:
P(10) = 10^3 + 5(10^2) + 3(10) + 1 = 1000 + 500 + 30 + 1 = 1531 pesos.
identify all the linear functions with a rate of change greater than or equal to 1.5
Examine the right triangle below, solve for x, round to two decimal places if
necessary.
The numerical value of x in the given right triangle is 20.14.
What is the value of x in the given right triangle?The figure in the image is right-triangle.
Angle A = 32°Opposite to angle A = xHypotenuse = 38Value of x = ?To find the value of x, we use trigonometric ratio.
Sine = Opposite / Hypotenuse
Plug in the values and solve for x.
sin( 32° ) = x / 38
x = sin( 32° ) × 38
x = 0.529919 × 38
x = 20.14
Therefore, the value of x is 20.14.
Option C) 20.14 is the correct answer.
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please help I really really need it.
Answer:3/a-6
Step-by-step explanation:
Please help me with this Problem!
Answer:
what is that maybe l can be of help to u
You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,
determine how long it will take for the object to hit the ground below. NEAREST TENTH
Solving a quadratic equation, we will see that the object will hit the ground after 5.9 seconds.
How long it will take for the object to hit the ground below?The equation for the vertical movement of an object will be:
H(t) = -16*t^2 + v0*t + h0
Where v0 is the initial velicity, in this case 85ft/s, and h0 is the initial height, 55ft.
Then the height equation is:
H(t) = -16*t^2 + 85*t + 55
The object will hit the ground when the height is equal to zero, then we need to solve:
-16*t^2 + 85*t + 55 = 0
Using the quadratic formula we will get:
[tex]t = \frac{-85 \pm \sqrt{(85)^2 - 4*(-16)*55} }{2*-16} \\\\t = \frac{-85 \pm 103.7 }{-32}[/tex]
We only care for the positive solution, which is:
t = (-85 - 103.7)/-32 = 5.9
So it will take 5.9 seconds for the object to hit the ground.
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How can i put this in slope intercept form?
X int= 5; Y int= -2
Over the last 3 evenings, Laura received a total of 68 phone calls at the call center. The third evening, she received 2 times as many calls as the first evening. The first evening, she received 8 more calls than the second evening. How many phone calls did she receive each evening?
On first evening she receives 19 calls and on second evening she receives 11 calls while on 3rd evening she receives 38 calls.
What is equation?A mathematical equation is a fοrmula that joins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences oοn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbol, fοr instance, 2x – 4 = 2.
X, Y, and Z represents the 1st , 2nd, and 3rd evenings
X + Y + Z = 68
⇒ X = Y + 8
⇒ Z = 2(Y + 8)
⇒ Y + Y + 8 + 2(Y + 8) = 68
Y = 11 calls
And
X = (11)+ 8 = 19 calls
Z = 2((11) + 8) = 38 calls
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In circle L with m/KLM = 60 and KL = 18 units, find the length of arc KM.
Round to the nearest hundredth.
M
K
In circle L with m/KLM = 60 and KL = 18 units, the length of arc KM is approximately 18.85 units.
What is circle?
A circle is a geometrical shape that is defined as the set of all points in a plane that are equidistant from a given point called the center of the circle. The distance between the center of the circle and any point on the circle is called the radius of the circle.
We can use the formula for the length of an arc of a circle:
L = rθ
where L is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc at the center of the circle (in radians).
In this problem, we are given the measure of the central angle m/KLM = 60 degrees, which is equal to 60/360 = 1/6 of a full revolution (360 degrees). Therefore, the angle θ subtended by the arc KM is:
θ = (1/6) * 2π = π/3 radians
To find the length of arc KM, we need to know the radius of circle L. Since we are not given this information directly, we can use the fact that KL is a chord of the circle and the perpendicular bisector of KL passes through the center of the circle. Let O be the center of circle L, and let N be the midpoint of KL. Then ON is the radius of the circle, and KN = KL/2 = 9 units.
We can use the Pythagorean theorem to find ON:
ON² = OM² + MN²
where OM is the distance from O to the midpoint of LM. Since OM is perpendicular to LM, it is also the altitude of triangle KLM, and we can use the formula for the altitude of an equilateral triangle to find that OM = ([tex]\sqrt{3}[/tex]/2)KL = 9[tex]\sqrt{3}[/tex] units.
Since MN = KL/2 = 9 units, we have:
ON^2 = [tex](9*\sqrt{3} )^2 + 9^2[/tex] = 243 + 81 = 324
so ON = 18 units.
Now we can find the length of arc KM using the formula:
L = rθ = 18 * (π/3) = 6π units
Rounding to the nearest hundredth, we get:
L ≈ 18.85 units.
Therefore, the length of arc KM is approximately 18.85 units.
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Please help me !!! I can’t find the answer
Answer:
Based on the measures of the following triangle's angles, the triangle can be classified as an obtuse triangle.
Step-by-step explanation:
In order to decide which type of triangle this is, first we must understand what an acute, right, and obtuse triangle are. Acute triangles are triangles with all three of its angles less than 90°, right triangles are triangles with one angle that is exactly 90°, and obtuse triangles are triangles with one angle that is greater than 90°. Overall, we can determine the type of this triangle by looking at its angles.
The given triangle has the angles 25°, 136°, and 19°. Now we can compare it to the rules above and see whether this triangle is acute, right, or obtuse. As the given triangle has an angle that is greater than 90°, we can conclude that the following triangle is an obtuse triangle.
Have a great day! Feel free to let me know if you have any more questions :)
A restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.
Restaurant
Number of Side Dishes Total Cost
2 $8.25
4 $11.25
5 $12.75
8 $17.25
Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 25 hundredths through the point 3 comma 11 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 75 hundredths through the point 3 comma 12 and 25 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 25 hundredths through the point 3 comma 9 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13
The requried graph with the x-axis labeled a number of side dishes and the y-axis labeled cost in dollars and a line going from point [0,5.25] through point [3, 9.75]. Option C is correct.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Calculate the slope of the given relation in the table, using any two of the ordered pair,
m = 11.25 - 8.25 / 4 - 2
m = 3/2
m = 1.5
Now calculate the slope in each option, the slope of any option matches with m = 1.5 then that will be the required graph, so the slope of the graph mentioned in option C matches with m = 1.5.
Thus, Option C is the required answer.
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16. Higher Order Thinking The box plots show the average daily high temperatures
of two cities from January to December. Which city should you live in if you want
a greater variability in temperature? Explain.
The city that you should live in if you want a greater variability in temperature is city Y.
Which city should you live in?In order to determine the city that has the greater variability in temperature, the interquartile range has to be determined. The interquartile range is used to measure the variation in a dataset.
The interquartile range is the difference between the third quartile and the first quartile.
interquartile range = third quartile - first quartile
Interquartile range for City X = 50 - 30 = 20
Interquartile range for City Y = 50 - 25 = 25
The interquartile range for city Y is greater than that of city X. This means that city Y has a greater variation in temperature.
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An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer: x+y=22; 150x+350y=4800
Step-by-step explanation:
14. What is the equation of the line that passes through the
point (-3, -5) and has a slope of
-2/3
Answer:
y=-2/3x-0.5
Step-by-step explanation:
y=mx+b is the equation for slopes so I used it and all I needed to find was the y-intercept, which is -0.5
if TAN a =21/29 calculate the values of seca - coseca/seca+coseca
The values of sec a - cosec a/sec a+cosec a is 4/25.
Trigonometric ratios:The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
In a right-angled triangle,
Sin θ = Opposite Side /HypotenuseCos θ = Adjacent Side /HypotenuseTan θ = Opposite Side/Adjacent Side Sec θ = 1/cos θCosec θ = 1/sin θHere we have
tan A = 21/29
As we know Tan θ = Opposite side/Adjacent side
=> Opposite side = 21
=> Adjacent side = 29
In a right-angle triangle,
=> Hypotenuse² = Opposite side² + Adjacent side²
=> Hypotenuse² = 21² +29²
=> Hypotenuse² = 441 + 841
=> Hypotenuse² = (35.8)²
Cos a = Adjacent side /Hyopenuse = 29/ 35.8
Sin a = Opposite side/Hypotenuse = 21/35.8
The given expression can be solved as follows
=> [tex]\frac{seca - coseca}{seca+coseca } = \frac{ \frac{1}{cos a}-\frac{1}{sina} }{\frac{1}{cos a }+\frac{1}{sin a} }[/tex]
=> [tex]\frac{ \frac{sin a - cosa}{cos a sn a} }{\frac{sin a + cos a}{cos a sin a} }[/tex]
=> [tex]\frac{sin a - cosa}{cos a+ sin a}[/tex]
=> [tex]\frac{ \frac{21}{35.8} - \frac{29}{35.6} }{\frac{29}{35.8} + \frac{21}{35.8} }[/tex]
=> [tex]\frac{21- 29}{29+21}[/tex]
=> [tex]\frac{8}{50}[/tex]
=> [tex]\frac{4}{25}[/tex]
Therefore,
The values of sec a - cosec a/sec a+cosec a is 4/25.
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To get a free meal at his favorite restaurant in town needs to spend $50 or more at the restaurant he has already spent $30.25. How much more does Tom need to spend to get his free meal?
Write an inequality to solve the problem
Answer:
x [tex]\geq[/tex] 19.75
Step-by-step explanation:
x ≥ 50 - 30.25
x ≥ 19.75
To get a free meal, he needs to spend 19.75 or more.
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A and B be subsets of S , where: Set A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 } Set B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } Find the following: The number of elements in the set ( A ∪ B ): n ( A ∪ B ) = The number of elements in the set ( A ∩ B ): n ( A ∩ B ) is
The values for the sets are -
A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 } and n(A∪B) = 14.
A∩B = { 10 , 12 , 14 , 16 } and n(A∩B) = 4
What is sets?
A set is a precisely defined collection or aggregate of all feasible objects with predetermined qualities that are specified in accordance with a precisely defined rule. Elements of sets are the items used to compare sets.
The set S is - S = { 1 , 2 , 3 , ... , 18 , 19 , 20 }
The set A is - A = { 1 , 2 , 4 , 10 , 12 , 14 , 16 }
The set B is - B = { 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }
A∪B is the set of elements of S that are part of A or B, or both.
A∪B = { 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 17 , 19 , 20 }
Count the number of elements present in set A∪B.
Therefore, n(A∪B) value is 14.
A∩B is the set of elements of S that are common to A and B.
A∩B = { 10 , 12 , 14 , 16 }
Count the number of elements present in set A∩B.
Therefore, n(A∩B) value is 4.
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Describe how you know whether an equation will be true for all values of x or true for no values of x
Answer:
Step-by-step explanation:
Generally an equation which will be true for all values of x have some statement which can be simplified into another state which will always be true.
So for example: [tex]x+4=x+4[/tex], is kind of a bit obvious to tell it's going to be true for all values as the two expressions have the same exact terms, but we can subtract "x" from both sides leading us to the statement: [tex]4=4[/tex] which is always true.
One important thing to note is you must be cautious at times, for example: [tex]\frac{x-2}{x-2}=\frac{x-2}{x-2}[/tex] may seem to be true for all values, and x-2 over x-2 is the same thing, so it simplifies to one and same thing on the right side: [tex]1=1[/tex] thus the statement should be true for all values right? Not completely, it's true for most values, except for x=2, and this is because 1=1 isn't exactly the same expression. In the original fraction the denominator has an x-2, and if we plug in x=2, we get 2-2 resulting in division by one, which of course isn't definable. So that's just one important thing to note as simplifying expressions may result in expressions that look equal, but are slightly different in a way.
. For the first 40 hours Kayla works per week, she gets paid $12/hr. For each hour over 40
worked, she gets paid $18/hr. Write a piecewise function to represent her total pay with
respect to the number of hours worked. How much will she make for working 50 hours?
Answer:
$660
Step-by-step explanation:
If she gets $12/ an hour and works for 40 hours, 12*40=480. For every hour over 40, she gets $18/an hour, so if she works for 50 hours, you do 18*10 since she only worked 10 hours over 40. 18*10=180. To get the total amount, you do 480+180, which is 660.
Hope this helps! Please give brainliest!
Answer:
Therefore, Kayla will make $660 for working 50 hours.
Step-by-step explanation:
Let H be the number of hours worked in a week. The total pay can be represented as a piecewise function as follows:
f(H) =
12 * min(H, 40) +
18 * max(0, H - 40) if H >= 0
So, for H = 50 hours worked, we have:
f(50) = 12 * min(50, 40) + 18 * max(0, 50 - 40)
= 12 * 40 + 18 * (50 - 40)
= 480 + 180
= $660
Therefore, Kayla will make $660 for working 50 hours.
Isosceles trapezoid KRWT is shown
Given KRWT is an isosceles trapezoid with KR and TW
Prove: WK = TR
An incomplete two-column proof is shown
Answer Choices:
-
-
-
-
What is the missing statement in step 3
More info is in the picture
Thank you for any help!
The supportive statement is m∠WKT ≅ m∠TRW.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
We know a trapezoid is isosceles if the two nonparallel sides are equal.
Therefore, In KWRT, [tex]\overline{WK}[/tex] ≅ [tex]\overline{TR}[/tex] and [tex]\overline{KR} || \overline{TW}[/tex].
The missing statement to support all other statements would be,
m∠WKT ≅ m∠TRW as the angle formed by the pair of the corresponding sides is equal.
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help me lease i need helpp
Answer: C) triangles ABC is not similar to the triangle DEF because angles B and D re not congruent.
Step-by-step explanation:
...as it say...
If 36 is added to a number, it will be 4 times as large as it was originally. Find the number
Answer:
4 I think
Step-by-step explanation:
4+36=40, 10x4=40
Answer: 12
Step-by-step explanation:
1) Create an equation. Lets call the missing number x. 36 is added to x or 36+x and when 36 is added to x it is 4 times of x or 4x, so our equation is 36+x=4x.
2) Bring the variable to one side by subtracting x on both sides. Our new equation is 36=3x.
36) Get rid off the coefficient 3 by dividing 3 on both sides to get x=12
