The possible measures for the other two angles will be that the sum of that angle must be 90 degree.
A triangle is considered to be 3-sided polygon in some cases Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are given that one of the angles of the given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,
=>A+B+C = 180
=>A+90+C= 180
=>A+C= 180-90
=>A+C=90
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4.
Bacteria in a lab has a population of 500 and it triples every hour. Which of the following
equations represents the this situation?
Identifique la intersección y y el factor de crecimiento para la siguiente ecuación
exponencial:
y=3z +500
y=500z+3
y = 500(3)²
y=3(500)=
Answer:
y=3(500)
Step-by-step explanation:
I think this is ans but i do not know the ans.
Hi I have question on solving algebraic fractions. How would I find the LCD for this?
(x/x+1)+(x-1/4)=(11/12)
I tried multiplying the denominator by the opposites (x+1 and 4) to make them the same denominator and then add them and cross multiply, however, I never got the right answer
The value of x is either 2 or -7/3.
Given expression:-
(x/x+1)+((x-1)/4)=(11/12)
We have to find the value of x.
The LCM of (x + 1) and 4 is 4(x - 1).
We can write,
[4x + (x + 1)(x - 1)]/4(x + 1) = 11/12
[tex]\frac{4x+x^2-1}{4(x+1)}=\frac{11}{12}[/tex]
We can multiply 4 to the given equation, and get,
[tex]\frac{4x+x^2-1}{(x+1)}=\frac{11}{3}[/tex]
By cross multiplying, we can write,
[tex]12(4x+x^2-1)=11(4(x+1))[/tex]
12x + [tex]3x^2[/tex] -3 = 11x + 11
[tex]3x^2[/tex] + 12x - 11x -3-11 = 0
[tex]3x^2[/tex] + x-14 = 0
Using the middle-term split theorem, we can write,
[tex]3x^2[/tex] + 7x - 6x -14 = 0
x(3x + 7) - 2(3x + 7) = 0
(3x + 7)(x - 2) = 0
x = -7/3, 2.
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help me if you answer your smartest person on the world
The value that makes the inequality true for the first inequality is x < 4 and x >4 for the second inequality
Find the unknown value in the InequalityTo solve this problem, we have to solve each of the inequality and find the missing values that holds them true.
For the first inequality,
Let x represent the unknown value
[tex]8 * \frac{x}{4} < 8\\\frac{8x}{4} < 8\\x < 4[/tex]
For the second inequality;
Let x represents the unknown value.
[tex]8 * \frac{x}{4} > 8\\ x > 4[/tex]
In the first inequality, x < 4 and the second inequality, x > 4.
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What is 150 + 1/6 + 1/2
Answer:
150 and 2/3 or 150.6666...
Step-by-step explanation:
1/6 + 1/2 = 1/6 + 3/6.
1/6 + 3/6 = 4/6 = 2/3
150 + 2/3 = 150 and 2/3
Mark as brainliest please
Answer: exact form is 452/3
decimal form is 150.6
Step-by-step explanation:
The exact volume of a cylinder with radius 3 cm and height 6 cm is:
Complete the empty table from the provided information.
Transform the graph of f(x) by dilating it by a factor of 3.
Write the equation of the resulting line in slope intercept form.
Due to length restrictions, the table of the transformed graph is shown in the explanation section. The equation of the transformed graph is g(x) = 3 · x.
How to derive the table of the image of a graph
In this question we find the representation of a line on a Cartesian plane and its corresponding table and we need to determine the table of the image of such function. The transformed graph is the result of dilating the original graph by a factor of 3. The value of g(x) is equal to three times the value of f(x):
x g(x)
- 2 - 6
- 1 - 3
0 0
1 3
2 6
The equation of the original graph is f(x) = x and the equation of the transformed graph is g(x) = 3 · x.
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Pls help with my geometry questions.
1. What do you call the side that is between 2 angles, like in ASA?
2. What do you call the side that is not in between 2 angles, like in AAS?
3. If lines are perpendicular, then they form ______ _______ angles.
A triangle is a closed polygon having number of sides exactly 3. Example - Equilateral Triangle, Isosceles Triangle, and etc.
The triangles are congruent when two pairs of corresponding angles and one pair of corresponding sides (between the angles) are both equal and the side is known as Included Side.
While, The triangles are congruent when two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are both equal and the side is known as Angle Angle Side.
When two lines are perpendicular to each other, then they form Right Angles which are 90° in measure.
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How can division be used to find the factors of polynomial functions?
Answer:
To divide polynomials using long division, first divide the first term of the dividend by the first term of the divisor. This is the first term of the quotient. Multiply the new term by the divisor, and subtract this product from the dividend. This difference is the new dividend.
63 = 3x + 15 solve for x simplify your answer as much as possible
Answer:
The answer is x=16
Step-by-step explanation:
63=3x+15
63-15=3x Put like terms together and subtract
48=3x
x=48/3 isolate the variable
x=16
(30p algebra 2) is this an observational study or an experiment? and why
The sales director is conducting a experiment study.
There are different types of studies related to researches. The researchers may conduct simply, a survey, more thoroughly, an observational study or an experiment to get more details of things of their research.
An observational study is based on observations and analysis of different comparable situations. A survey is actually a method to study about things directly through personally involving into the situations.
Experiments are mostly used in situations which asks for a solution to certain issue. An experiment is implementing new measures first and then check if it works and get on conclusions about it. Such experiments leads to new inventions.
So here, the sales director conducted an additional training program for the sales representatives to increase the sales in Midwest and Northeast regions.
Then he studied the effectiveness of this implementation by comparing the sales from trained and non-trained representatives.
Thus the sales director conducted an experiment based study here.
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ii) (1, 3), (6,3), (6, 6) and (1, 6) are the vertices of a rectangle.
Given, (1, 3), (6,3), (6, 6) and (1, 6) are the vertices of a rectangle, the width is 1 unit shorter.
What is a rectangle?A rectangle is a quadrilateral with the four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with the four equally long sides. Oblong is occasionally used to describe a rectangle that isn't square. Rectanglen is the symbol for a rectangle having the vertices ABCD. ABCD in PNG.
Rectangulus, a combination of rectus (as an adjective, right, proper), and angulus, is the source of the English word rectangle (angle).
A crossed rectangle is a quadrilateral that is formed by the intersection of two diagonals and the two opposite sides of a rectangle (therefore only two sides are parallel). Although opposite angles are equal, it is a specific example of an antiparallelogram in which the angles are not all right angles and equal. There exist so-called rectangles in other geometries, including spherical, elliptic, and hyperbolic ones, with opposite sides of equal length and equal angles that are not right angles.
Many tiling issues use rectangles, like tiling the plane with rectangles or tiling a rectangle with polygons.
By plotting given points in the coordinate plane,
We get rectangle ABCD having vertices,
A(-1,6), B (3,6), C (3,1), D (-1,1)
By distance formula,
Shorter side or width of rectangle,
AB= [tex]\sqrt{ [3-(-1)]^{2}+ (6-6)^{2}} = \sqrt{4^{2}+0 } = 4 units[/tex]
Longer side or length of rectangle,
BC= [tex]\sqrt{(3-3)^{2}+(1-6)^{2}}=\sqrt{5^{2} } = 5 units[/tex]
The difference between length and width,
BC-AB= 5-4= 1units
Hence, width of rectangle is 1 unit less than the length.
active attachment
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Which of the following correctly sets up the synthetic division for x^3 − 4x^2 − 3 divided by x + 1?
let's recall that for a synthetic division, or even a long division as well, the dividend and divisor must be in descending order from left-to-right. Check the picture below.
what is the slope of the line?
Answer:
3
Step-by-step explanation:
Use the slope formula
y2-y1/x2-x1
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
model2 is times and model on is 432
Find the HCF of 200 and 240
Answer:
its 40
Step-by-step explanation:
200 and 240 have an HCF of 40.
Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF).
So, let's determine factors of 200
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200 are all factors of 200.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240 they are all factors of 240.
now, we will select the highest common factors of 200 and 240.
the highest common factors of 200 and 240 is 40.
Hence, the HCF of 200 and 240 is 40.
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48x4 and 44x5 Find the GCF
The greatest common factor (GCF) of the given expression 48x^4 and 44x^5 is 4x^4.
What is Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given. We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).
To find the GCF of [tex]48x^4[/tex] and [tex]44x^5[/tex]. we have to write the prime factorization of both the terms;
Prime Factorization of [tex]48x^4[/tex]= 2 × 2 × 2 × 2 × 2 × 2 × x × x × x× x
Prime factorization of [tex]44x^5[/tex] = 2 × 2 × 11 × x × x × x × x × x
Thus the common factors are 2 × 2x × x × x× x
Therefore The greatest common factor (GCF) of the given expression 48x^4 and 44x^5 is 4x^4.
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The volume of this cylinder is 2,000.18 cubic yards. What is the radius?
Use 3.14 and round your answer to the nearest hundredth.
Answer:56.52
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 3x + 6y = –72. Fully reduced
The slope of the line is 2 for the equation that is perpendicular.
Slope of the line:
Slope of the line refers the change in y coordinate with respect to the change in x coordinate.
Given,
Here we have the equation 3x + 6y = - 72 that is perpendicular to the line.
Now, we need to find the slope of the line from it.
First we have to convert the given equation of line into standard form,
Then we get,
3x + 6y + 72 = 0
Now we know that the slope of the line for this type of equation is,
m = -a/b
Whlie we compare the equation with the standard form ax + by + c = 0,
Then we get the value of a = 3 and b = 6
Therefore, the slope of the line is
m1 = -3/6
m1 =-1/2
Here we need to find the slope of a line which is perpendicular to the given line.
Through the definition we know that product of two perpendicular line is -1.
So,
m1 x m2 = -1
(-1/2) x m2 = -1
m2 = 2
Therefore, the slope of perpendicular line is 2
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Guys I need help is this right?
The domain of the function in this situation as required in the task content is; Choice C; {0, 1, 2, 3, 4, 5, 6}
What is the domain of the function for this situation?It follows from the task content that the domain of the function described by the situation is to be determined.
Since the domain is the set of all possible input values, otherwise termed the independent variable, x.
It follows that since the carton can hold from 0 to 6 books; the domain is; Choice C ; {0, 1, 2, 3, 4, 5, 6}
Please Note: The set of all possible output values of a function, otherwise termed the dependent variable, y is called the Range.
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20=5x+10y help me please
Answer:x=2(-y+2)
Step-by-step explanation:easy
Can some one PLEASE HELP me , I do not understand how to do this at all and I have to submit it TONIGHT please and thankyou!
Answer:
Answer down below!
Step-by-step explanation:
Let's find a point on the graph that we can start off on
We can use (2,-1)
From there, we can use rise/run to find our answer
We go up 3 and over -2
So, our slope is -3/2 because we cannot simply it any further
a box with a square base and open top must have a volume of 42592 c m 3 . we wish to find the dimensions of the box that minimize the amount of material used. first, find a formula for the surface area of the box in terms of only x , the length of one side of the square base. [hint: use the volume formula to express the height of the box in terms of x .] simplify your formula as much as possible. wyzant
a formula for the surface area of the box in terms of only x , the length of one side of the square base is A = x² + 170368 cm³/x
The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.
Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are
A = 2lh + lw + 2wh
Now for a box of square base, l = w = x.
So, A = 2xh + x² + 2xh
A = x² + 4xh
Since V = x²h and V = 42592 cm³,
h = V/x² = 42592/x²
substituting h into A, we have
A = x² + 4xh
A = x² + 4x(42592 cm³/x²)
A = x² + 4 × 42592 cm³/x
A = x² + 170368 cm³/x
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What is the domain and range of this function?
Answer:
Domain(X-value): {-5,-4,-3,-2,-1,0,1,2,3,4,5}
Range (Y-value): {-2,-1,0,1,2}
Step-by-step explanation:
The domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Match each pair of angles to their angle pair name.
<2&<7
<5 & <8
<9 & <16
<1 & <3
<4 & <3
<14 & <15
The name for the angle <2&<7 is an alternate interior angle by a transversal x.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
The angle pairs are given.
From the diagram:
<2&<7 = Alternate interior angle by a transversal x
<5 & <8 = Consecutive exterior angle by a transversal x
<9 & <16 = Consecutive exterior angle by a transversal x
<1 & <3 = Corresponding angles by transversal x
<4 & <3 = Adjacent angle by transversal g
<14 & <15 = Consecutive interior angle by a transversal y
Thus, the name for the angle <2&<7 is an alternate interior angle by a transversal x.
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On Wednesday night in St. Petersburg, Russia, the temperature is -11°C.
On the same night in Bombay, India, the temperature is 17°C.
What is the difference in the temperature?
The difference in the temperature of Bombay to St. Petersburg is 28° C.
What is the difference between two numbers and how is it calculated?
An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction. Subtraction is the process of subtracting a matrix, vector, or other quantity from another according to predetermined criteria in order to find the difference.
Subtracting two numbers from each other is a type of subtraction. The difference between two numbers is calculated by deducting the smaller of the two values from the larger.
Given, the temperature in St. Petersburg = T₁ = -11° C
The temperature in Bombay = T₂ = 17° C
Using general comparison, we get T₂>T₁, since one is positive and the other is negative.
Therefore following available literature,
Difference in temperature = T₂ - T₁ = 17 - (-11) = 17 + 11 = 28° C
Thus, the required difference in temperature of Bombay to St. Petersburg is 28° C.
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48 < 8w solve the inequality for w and simplify your answer as much as possible
Answer:
w > 6
Step-by-step explanation:
48 < 8w
48 ÷ 8 < w
w > 6
I switched the sign if you dont want that you can write 6 < w
Which of the following is not a step in the help seeking process
SOMEONE PLEASE HELP ITS URGENT!!! Please help with this
Answer:
X = 8?
Step-by-step explanation:
I'm not sure if I'm correct but I used this solution of since 4x + 1.
Usually if its + something then you subtract it so 33-1 is 32 then
4x= 32
x=8
If I'm wrong, I apologise.
Math nerds please help finish these sentences
I can tell a slope is greater than 1 by _________
I can tell a slope is equal to 1 by _______
I can tell a slope is less than 1 by ________
please help answer these please
Just here for the points lol
Prove algebraically that the square of any odd number is always one more than a multiple of 8.
The square of any odd number is not always one more than a multiple of 8. The proposition is false.
How to prove a relationship between odd numbers and multiples of 8
Natural numbers can be divided into even numbers (i.e. 2, 4, 6) and odd numbers (i.e. 1, 3, 5). Let be n an element of the set of even numbers and the element 0, such that odd numbers are of the form:
x = 1 + n
Then,
(1 + n)²
1 + 2 · n + n²
If 1 + 2 · n + n² is one more than a multiple of 8, then we find the following relationship:
1 + 2 · n + n² = 8 · x + 1, where x is a natural number.
2 · n + n² = 8 · x
For x = 1:
2 · n + n² = 8
n² + 2 · n - 8 = 0
(n + 4) · (n - 2) = 0
Then, the least even number is 2 and the least odd number is 3. This implies that the proposition is not observed for (1 + n) = 1. Therefore, the proposition is false.
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