There are three valid names for the given triangle AXT, TAX, and XTA.
A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same. In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides. Every triangle is bicentric and convex. The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane. Triangle geometry, as the study of triangles is frequently referred to, is a rich field of geometry that is full of stunning outcomes and surprising connections. Let S stand for a side of a triangle and A for an angle. Then, let a group of Ss and As be concatenated so that adjacent letters stand for adjacent sides of a triangle and adjacent angles. According to the SSS theorem, a triangle can only exist if it has three sides, two angles, and a side, or two sides and an adjacent angle (SAS theorem). The three unknown quantities (there are a total of three sides and three angles) can be uniquely identified in each of these situations. Other side and angle combinations do not necessarily result in a triangle being formed: the AAA theorem states that three angles specify a triangle but only up to certain scale size and that one angle and two sides without it may describe one, two, or no triangles.
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i’m putting my faith in you guys my course ends tommorow
Answer:
A
Step-by-step explanation:
distribute 3 to 4x+2 --> 12x + 6 = 8x + 24 - 2x
combind like terms --> 12x + 6 = 6x + 24
subtract 6 from both sides --> 12x +6 -6 = 6x + 24 - 6 --> 12x = 6x + 18
subtract 6x from both sides --> 12x - 6x = 6x -6x +18 --> 6x = 18
divide both sides by 6 to get what x equals --> x = 3
i'm vry tired and just want to go to bed ill give brainliest pls answer
A rectangular prism has a length of 4 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?
A. 64 square feet
B. 79 square feet
C. 120 sqaure feet
D. 158 square feet
Answer:the answer is D 158
Step-by-step explanation:Pls mark me brainliest!
Jack will spend a total of exactly $15 on Redbix movies and games. What equation in standard form can he use to graoh a line showing the different amounts of movies at $1.25 and games at $2.50 he can buy
Answer:
[tex]1.25x+2.5y -15 = 0[/tex]
Step-by-step explanation:
Total amount to be spent on Redbix movies and games = $15
Money to be paid for each movie = $1.25
Money to be paid for each game = $2.50
To find:
Equation in standard form that can be used to graph the line.
Solution:
First of all, let us learn about the standard form of equation of a line.
Standard form can be represented as:
[tex]Ax+By+C =0[/tex]
Where [tex]A,B, C[/tex] are constants.
Now, let us try to make equation.
Let number of movies bought = [tex]x[/tex]
Amount to be paid for movies = $1.25[tex]x[/tex]
Let number of movies bought = [tex]y[/tex]
Amount to be paid for movies = $2.50[tex]y[/tex]
Total money is $15.
Therefore, we can write the equation as:
[tex]1.25x+2.5y = 15[/tex]
Standard form can be written as:
[tex]1.25x+2.5y -15 = 0[/tex]
Help ASAP!! Thank youuuuu
Answer:
c. [tex]1\leq x\leq 6[/tex]
Step-by-step explanation:
the domain is the set of all possible inputs of a function, in other words, all the x-values that make up the function. in this function, the first x-value is 1, and the function is continuous all the way up to 6, so, the domain would be the answer in c.
- One of a triangles vertices is at Point A (4, -6). This triangle is transformed according
to the notation (x,y) → (x,-y+2)
What will be the coordinate of Point A ?
I need an answer ASAP! Pls help
The new coordinates of point A would change as follows:
(4, -6) → {4, -(-6) + 2} = (4, 6 + 2) = A' → (4, 8)
The new coordinates for point A are (4, 8).
The tens digit of a two-digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the original number. Find the number
Answer:
32 is the
number
Step-by-step explanation:
Given the following function find the value for f (2).
f(x) = 5x - 3
F(2) = 1
F(2) = 7
F(2) = 2
F(2) = 4
SHOW WORK PLEASE
Given the graph above, which equation shifts line down 5 units?
A) y=4x-1
B) y=2x-6
C) y=4x-6
D) y=2x-1
SHOW WORK
Answer:
D. y=2x-1 (I got B wrong)
The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?
3 + 3 StartRoot 2 EndRoot ft
3 + 3 StartRoot 3 EndRoot ft
6 + 3 StartRoot 2 EndRoot ft
6 + 3 StartRoot 3 EndRoot ft
The perimeter of the isosceles right triangle is P = 6 + 3√2 feet
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the isosceles triangle be represented as ΔABC
In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
h² = 3² + 3²
h² = 18
Taking square roots on both sides , we get
h = 3√2 feet
The perimeter of the triangle is the sum of the lengths of its sides:
Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet
Hence , the perimeter is 6 + 3√2 feet
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Which number is greatest?
O 2.89 x 10
O 1.997x102
O 8.9x104
O 5x10
Answer:
c
Step-by-step explanation:
you just multiply in the calculator
What is the inverse of the function f(x) = 4x+8?
Answer:
(x-8)/4=y
Step-by-step explanation:
f(x)= 4x+8
y=4x+8
y-8=4x
(y-8)/4=x
(x-8)/4=y
11 + 16 + 4 = ????????????
Answer:
31! :D
Step-by-step explanation:
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If you want to join you can,
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What is the solution set for -4x - 10 ≤ 2?
x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2
PLS I NEED YOUR HELP AND I REALLY NEED THIS DONE CAN YOU GUYS DO THIS FOR ME I'LL BRAINLIEST. use the quadratic formula to find the equation. 3x^-10x+5=0
A. 10±√40/6
B. 2±√24/2
C. 1±√35/2
D. 5±√15/3
Answer:
my answer is (5±√10)/3
PLEASE ANSWER THISSS
Answer:
78.5 ft
Step-by-step explanation:
You had the right answer
Hope you got the clarification you needed! :)
Brainliest pls
Question 3
Write an equivalent expression to 13.4x - 5.9 - 7.1x + 13.5 with the fewest possible terms.
Answer:
A........................
Answer:
13.4x - 0.5
Step-by-step explanation:
13.4x - 5.9 - 7.1 + 13.5
This may seem complicated, but it is really pretty simple once you get the hang of it.
First, you would organize your terms.
13.4x - 5.9 - 7.1 + 13.5
Then you would add your like terms.
-5.9 - 7.1 + 13.5 = 0.5
So the answer to your problem would be 13.4x - 0.5
the area of a small square is 25 square units what is the exact length in units of a single of a large square
Answer:
5
Step-by-step explanation:
The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.
At a Christmas party,40 people wore a grinch or elf costume. If there were 50 people at the party and 10 were dressed as the grinch, what percent were wearing an elf costume ?
Answer:
Percent [wearing elf costume] = 60%
Step-by-step explanation:
Given:
Total number of people = 50
Grinch or elf costume = 40
Grinch costume = 10
Find:
Percent [wearing elf costume]
Computation:
Percent [wearing elf costume] = [Grinch or elf costume - Grinch costume] / Total number of people
Percent [wearing elf costume] = [40-10] / 50
Percent [wearing elf costume] = [30] / 50
Percent [wearing elf costume] = 60%
2(x + 4) = 4x + 3 – 2x + 5
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(x + 4) = 4x + 3 - 2x + 5
Step 2: Solve for x
Distribute 2: 2x + 8 = 4x + 3 - 2x + 5Combine like terms: 2x + 8 = 2x + 8Subtract 8 on both sides: 2x = 2xDivide 2 on both sides: x = xHere we see that x does indeed equal x.
∴ x = infinite amount of solutions
jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour
Answer:
Step-by-step explanation:
If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h
48 miles/hour
or
24 miles...............................30 min
? miles in .............................60 min
(60*24)/30=48
orrect
Question 12
Rectangle has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
Rectangle B is a scaled copy of Rectangle A. What is the scale factor?
Select all equivalent answers.
1.25
4/5
5/4
20.8
11/4
Answer:
1.25
5/4
1 1/4
Step-by-step explanation:
The dimensions of rectangle A are L=12 and W=8. The dimensions of rectangle B are L=15 and W=10.
We are told rectangle B is a copy of rectangle A, thus we must find the scale factor by dividing both dimensions:
15/12=5/4
10/8 =5/4
Dividing 5/4 we get 1.25.
Converting 5/4 to mixed fraction: 5/4= 1 1/4
There are three valid selections:
1.25
5/4
1 1/4
Please help whats a,h,k??
9514 1404 393
Answer:
a = -2, h = 2, k = 1
Step-by-step explanation:
Compare the expressions. Match one pattern to the other.
[tex]f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1[/tex]
__
The transformations are ...
Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.
Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.
A table and graph are shown in the attachment.
What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
A. y = 1.383x + 1.526
B. y= -1.526x - 1.383
c. y = 1.383x - 1.526
D. y = -1.526x + 1383
Answer:
d
Step-by-step explanation:
it is really simple if you think about it or maybe I'm wrong
The line of best fit is y = 1.383x - 1.526 after calculating using the table, and option (c) y = 1.383x - 1.526 is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
As we know, the regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have data shown in the table:
We can find the line of best fit by the formula.
Let y = mx + c
m is the slope of the line of best fit and the y-intercept is c.
After calculating:
m = 1.383
c = -1.526
y = 1.383x - 1.526
Thus, the line of best fit is y = 1.383x - 1.526 after calculating using the table, and option (c) y = 1.383x - 1.526 is correct.
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A plumber charges a service charge of $20 plus $15 per one-half hour of work. the cost to hire the plumber is given by the function f(x) = 15x + 20, in which f(x) represents the cost and x represents the number of one-half hours the plumber works. If the Jackson family has $200 to spend on the water leak repair, what is the maximum number of hours the plumber can work to repair the leak?
Answer:
Veg=156
Step-by-step explanation:
I just did the mat
PLEASE HELP ME ASAP :)))))))))
does this have one solution, multiple, or infinite? PLEASE SHOW WORK
2x + y = 5
y = -4 -2x
Answer:
(1) x= −1 /2 y+ 5 /2
(2) x= −1 /2 y−2
Step-by-step explanation:
(1) 2x+y=5
Step 1: Add -y to both sides.
2x+y+−y=5+−y
2x=−y+5
Step 2: Divide both sides by 2.
2x /2 = (−y+5)/2
x= −1 /2 y+ 5 /2
(2) Step 1: Flip the equation.
−2x−4=y
Step 2: Add 4 to both sides.
−2x−4+4=y+4
−2x=y+4
Step 3: Divide both sides by -2.
−2x /−2 = (y+4) /−2
x= −1 /2 y−2
I’ll give the Brainliest to who answers my question and gives an reasonable explanation.
Thank you.
Answer:
second line plot
Step-by-step explanation:
It is the second line pot because...
d-4>-3
so what you do is you make it a equation
d-4=-3
you transfer the -4 to the other side by adding it on both sides
d=1
therfore d can 1 and any number above 1
I hope this helped
Find an equation of the line that passes through (3,10) and is parallel to the line x-3y=1
Answer:
x - 3y = -27
Step-by-step explanation:
Two parallel lines have equations of the same form; only the constants differ.
Thus, if the given line is x - 3y = 1, the desired new line has equation of the form x - 3y = C, where we must find the value of C.
Substituting 3 for x and 10 for y in x - 3y = C, we get 3 - 3(10) = C, or
3 - 30 = C. Thus, C = -27 and the desired new line is x - 3y = -27.
Yellow Bird's flight path can be modeled by the quadratic equation y = -x2 +14x-24
Answer:
(x-4)(x-3)
Step-by-step explanation:
quadratic equation is always squared so I will squared it myself
Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has.
crickets and
grasshoppers
Answer:
Arielle has 374 grasshoppers and 187 crickets
Step-by-step explanation:
Let's set:
x = number of grasshoppers
y = number of crickets
Arielle has a collection of 561 insects, thus:
x + y = 561 [1]
The number of grasshoppers is twice the number of crickets, thus:
x = 2y [2]
Substituting [2] in [1]:
2y + y = 561
Simplifying:
3y = 561
Dividing by 3:
y = 561/3
y = 187
From [2]:
x = 2*187 = 374
x = 374
Arielle has 374 grasshoppers and 187 crickets
PLS HELP WILL GIVE BRANLIEST
Answer:
A. y = 8x
Step-by-step explanation:
y is the product, and x is one of the variables that will multiply another number to equal y. So x times a variable equals y, then y divide by x would equal that variable. And in the questions it gave us if y = 48 and x = 6. So we'll use that: 48/6 = 8, the variable is 8. 8 times 6 equals 48 so:
y = 8x