Which angle in the triangle with vertices A (4, 4), B (5,6), and C (8,2) is a right angle?
Answers
The triangle does not represent aright-angled triangle
The coordinates of the triangle are given as:
[tex]\mathbf{A = (4,4)}[/tex]
[tex]\mathbf{B = (5,6)}[/tex]
[tex]\mathbf{C = (8,2)}[/tex]
Start by calculating the slopes of the lines that pass through the vertices of the triangles using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]
[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]
[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB
[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]
[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]
[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB
[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]
[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]
[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC
None of the slopes have the following relationship with another slope
[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line
Hence, the triangle is not a right-angled triangle
Read more about triangles at:
https://brainly.com/question/3189840
Related Questions
what is 4x(1+8x) Distributed
Answers
Answer:
4x + 32x²
Step-by-step explanation:
4x(1 + 8x) ← multiply each term in the parenthesis by 4x
= 4x + 32x²
expand and simplify (x-2)(x-3), please help
Answers
Answer:
hope it helps you
(•‿•).........
FOR A BRAINLIST PLS HURRY
Answers
Answer:
y = x
Step-by-step explanation:
line has a slope 1 and passes through the origin . So the equation is y = x
HELP!!!!! QUICK 100 pts to help me!!!!!! A 35 foot ladder rests against a window ledge that is 25 feet above the ground. How far is the base of the ladder from the base of the building? Round your answer to the nearest tenth. Show all work in the "show your work" box.
Answers
Answer:
24.5
Step-by-step explanation:
Apply the pythagorean theorem:
35^2-25^2=c^2
1225-625=c^2
600=c^2
c=24.5
The results of a survey about favorite lunch choices are shown.
Which lunch was chosen most often? : Please help!! here’s the chart btw —>
Answers
Answer:
Grilled cheese 1/10
Step-by-step explanation:
If you divide the rest of the fractions you get decimals and since 1/10 is still 10 grilled cheese is the favour lunch
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
y = mx+b
Answer:
y = -5x-2
Step-by-step explanation:
Use slope and y intercept to place the equation into slope intercept for (y=mx+b)
Which of the following statements is NOT true?
Answers
it wont let me loo at it sorry but it seems easy.
last time i'm asking about this bc i keep getting this wrong!!
Answers
“a fraction f multiplied by 13 equals 29.
Answers
Answer:
29/13
Step-by-step explanation:
The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.
what is the value of 8x + 2x when x is 6
Answers
Answer:
The answer is 60
Step-by-step explanation:
8x + 2x
x = 6
Substitute the value of x
8(6) + 2(6)
48 + 12
= 60
So basically 8x has a missing number and that missing number is 6 meaning that you need to multiply so you would multipy 8 times 6 and would get 48
Now that you have that answer you would do the next one which is 2 times 6 and thats 12 then you add 48 and 12 together making that 60 and your answer is 60.
Simpler
8 x 6 = 48
2 x 6 = 12
48 + 12 = 60
what is the prime factorization of 252
1. 2^2x7x9
2. 2x7x27
3.2^2×3^2×7
4.2^3×3×7
Answers
Answer:
Prime factorization: 2x2x3x3x7
Exponential form: = 2^2 x 3^2 x 7
Step-by-step explanation:
The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.
Answers
Answer:
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
The scores from Mrs. Rijo’s class are the closest to the class mean.
what is this anyone know?
Answers
Find the area of the surface generated by revolving x = t y = t^2 1 ≤ t ≤ 2 around the y-axis
Answers
Answer:
4^22x
Step-by-step explanation:
What is the remainder when the polynomial 8x2 4x−3 is divided by 2x−1?.
Answers
Answer:
Did the quiz :)
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation: i took the test hope this helps
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3.
Which represents the number of antique flower vases Christine can buy?
at least 20 vases
O at the most 20 vases
O exactly 20 vases
O at the most l vase
Answers
Answer:
97
Step-by-step explanation:
if a diagram shows a square with perimeter 40cm whats the percentage of the area inside the square that is shaded
Answers
Answer:
5
Step-by-step explanation:
Eacl side of the square has a length of 5 cm.
Answer:
55%
Step-by-step explanation:
i assume your question is from mathswatch
And this is the answer for it!
if x = 5 find the value of a) x² b) (x + 3)²
Answers
Answer:
x=5a)x²
5²=25
b] (x+3)²
(5+3)²
(8)²=64
a) 5^2 = 25
b) (5+3)^2 = 64
How would 1.047 be written as a percentage form?
Answers
Answer:
104.7%
Step-by-step explanation:
When changing a decimal to a percentage, simply move the decimal point to the right two place values to obtain your percentage:
1.047 = 104.7%
And vice versa, when changing a percentage to a decimal, move the decimal point to the left two place values to obtain your decimal.
~
Carl was given 15% of his paycheck before Christmas if his paycheck was $545.19 how much did he receive before Christmas
Answers
Answer:81.79$
Step-by-step explanation:
Total Value/ Percentage
So in this case it would be 545.19 divided by 25
and you would then get your answer, 81.79$
Express the following ratio as a fraction then reduce the fraction to the lowest terms
4:6
Answers
Step-by-step explanation:
4:6 as a fraction is 4/6
4/6 in its lowest terms is 2/3
hope this helps
y=-6/5x +4
y-= -1/5x -1
Answers
Answer: (5,-2)
Step-by-step explanation:
I'm assuming the equations are:
Y=-(6/5)x +4
y = -(1/5)x -1 [Note that I changed "y-" to just "y."]
We can solve this in one of two ways: Mathematically and Graphically.
Math:
y = -(1/5)x -1
6y = -(6/5)x -6
-(Y=-(6/5)x +4)
5y = -10
y = -2
y = -(1/5)x -1
-2 = -(1/5)x -1
-1 = -(1/5)x
5 = x
x = 5
The solution is (5,-2)
Graph:
See the attached graph. The lines intersect at (5,-2)
Please help me with this question
Answers
Answer: It's the 3rd one. Secant line
im stuck on this problem can someone help me? (see photo)
Answers
Answer:
I'm thinking the anwer is B
Step-by-step explanation:
I remember doing this problem before :)
Find the perimeter. Simplify your answer.
Answers
Answer:
The answer is 19s +23
Step-by-step explanation:
You add together all the sides and simplfy down.
4s+10+s+4+4s+10+10s-1
Add all the like terms
until it gets to 19s+23
Answer:
19s + 23
Step-by-step explanation:
P = 2(4s + 10) + s+4+19s-1
P = 8s + 20 + s + 4 + 10s - 1
P = 19s + 23
Please help! WILL MARK BRAINLIEST
Answers
Answer:
[tex](4,2)[/tex]
Step-by-step explanation:
In our graph only [tex](4,2)[/tex] makes sense
The last one makes an upside-down triangle which is not what we're looking for
The third one makes a weirdly shaped one which we're not looking for
The second one doesn't look like the triangle we're looking for so it's incorrect
This means the first one is correct
Brainliest please
Two consecutive numbers exist such that the sum of three times the first number and two less than the second number is equal to 144. What are third numbers
Answers
Step-by-step explanation:
two consecutive numbers means that one is larger by 1 than the other number.
so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.
to show what I mean, let's start with the second number being the larger one.
we are dealing therefore with x and (x+1).
3x + (x+1) - 2 = 144
4x - 1 = 144
4x = 145
x = 145/4
this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution.
therefore we are checking the other approach :
we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.
3(x+1) + x - 2 = 144
4x + 1 = 144
4x = 143
x = 143/4
this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).
so, it is actually not a valid solution either.
and now I am beginning to think you left out some important information in the question.
could it be these 2 numbers are consecutive even or consecutive uneven numbers ?
because then the difference between the both of them is 2 and not 1.
we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :
3x + (x+2) - 2 = 144
4x = 144
x = 144/4 = 36
ah ! now that looks different !
36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.
let's check :
36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144
correct.
and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :
3(x+2) + x - 2 = 144
4x + 6 - 2 = 144
4x + 4 = 144
4x = 140
x = 140/4 = 35
35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...
so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.
PLEASE HELP ME I REALLY NEED HELP!!
Answers
Answer:
Yes, based on ASA or AAS
Step-by-step explanation:
Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.
180-63= 117- 45=72
The triangles are equal/congruent because two angles and a side are the same values on both triangles.
HELPPPPPPPPP
A: 5 units
B: 4 units
C: 3 units
D: 2 units
Answers
Answer:
Its 5 units why its simple X and Y is in a strait line which mean you measure it and divide it by 3.14 which is pie you get your answer.
Step-by-step explanation:
mark brain if im correct :D
Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5
Answers
Answer:
-x + 5y = 4
5y = x + 4
y = x/5 + 4/5
Slope: 1/5
Y-intercept: 4/5
5y - x = 15
5y = x + 15
y = x/5 + 3
Slope: 1/5
Y-intercept: 3
2y - 3x = 7
2y = 3x + 7
y = 3/2x + 7/2
Slope: 3/2
Y-intercept: 7/2
2y = 5x + 7
y = 5/2x + 7/2
Slope: 5/2
Y-intercept: 7/2