Please help and show the formula used, along with all substitutions and calculations needed
Answers
Answer:
The given triangle is right.
Step-by-step explanation:
The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:
[tex]a^2+b^2=c^2[/tex]
If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.
Substitute in the given values and solve to prove the triangle is right,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex](9.6)^2+(12.8)^2=(16)^2[/tex]
Simplify,
[tex]92.16+163.84=256[/tex]
[tex]256=256[/tex]
The given triangle is right since its sides follow the Pythagorean converse theorem.
Related Questions
I REALLY NEED HELP!
Solve the equation:
Answers
Here is my method
X=-1
no problem, lllllllllllollllllllll
5y + 1 = 31 what’s the solution of y
Answers
Answer:
y = 6
Step-by-step explanation:
5y + 1 = 31
Subtract 1 from each side
5y + 1-1 = 31-1
5y = 30
Divide by 5
5y/5 = 30/5
y = 6
Answer:
y = 6
Step-by-step explanation:
5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.
Solve the equation.
5x + 6 = 2x – 3
Answers
Answer:
x = -3
Step-by-step explanation:
5x + 6 = 2x – 3
5x-2x+6=-3
3x=-9
x=-9/3
x=-3
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answers
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
Which is the solution for the system of linear equations below?
y= -1/3x + 3
y = -x + 1
Answers
Answer:
x= −3 and y= 4
not sure if this is what your looking for tho
Step-by-step explanation:
4. Mrs. Hernandez drew a quadrilateral on the board.
What type of quadrilateral did Mrs. Hernandez
draw?
A. Rectangle
B. Trapezoid
C. Rhombus
D. Square
Answers
Simplify the expression. Write your answer in positive exponent form:
(1/4) ^3 x (1/4) ^7
Answers
Answer:
1/4¹⁰
Step-by-step explanation:
this is the the simplified version for the question
Which of the following is equal to tan O using coordinates on the unit circle?
A) y/x
B) y
C) x/y
D) x
Answers
Answer:
A) y/x
Step-by-step explanation:
_____________________
...aeioutrssygrdhdth
fshgfjgf
jgf
Answers
Answer:
Interesting... go on.
Step-by-step explanation:
Find X in the given figures.
Answers
What exactly is a root of a logarithmic function again?
Answers
Answer:
Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.
The souvenir stand sells hats, postcards, and magnets. They have twice as many postcards as hats, and 100 more magnets than postcards.
Let h represent the total number of hats. Write an expression in terms of h for the total number of items they have to sell.
Answers
Answer:
4h + 100
Step-by-step explanation:
h = total number of hats
postcards = 2h
magnets = h + 100
Add them all together:
h + 2h + h + 100 = 4h +100
Triangle ABC is congruent to Triangle DEF. What corresponds with
Answers
Answer:
<E
Step-by-step explanation:
Answer:
∠E is the answer I believe
If i'm wrong correct me!!
(°◡°♡).:｡
what are some good notes I can use to study for my algebra exam tomorrow?
Answers
Answer:
all you need to do is look over your notes continue to partice as much as you can
Step-by-step explanation:
you got this
Determine if the relation is a function. Explain and
justify your answer.
Answers
By looking at the table, you can see that we have an x
that is paired with two different y's so this does not fit the
definition of a function which states that each x must
be paired with exactly one y.
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answers
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
What is the missing term?
Answers
Answer:
Missing term = 6x
Step-by-step explanation:
We got:
=> 4x by multiplying +4 and x (x * 4 = 4x)
=> 12 by multiplying +4 and +3 (4 * 3 = 12)
=> 2x² by multiplying 2x and x (2x * x = 2x²)
Similarly we will get the "missing term" by multiplying 2x and +3
=> Missing term = 6x, (2x * 3 = 6x)
Hope this helps!
Reasoning : 2x • 3 = 6x
simplify: (13^2x+1 -5×169^x) / 9×169^x
Answers
[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Expanding 1 from 13^(2x + 1 )
[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
13 goes to the power of 2
[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Factorize 169^x from both parts
[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =
Simplify 169^x
[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =
[ 13 - 5 ] ÷ [ 9 ] =
[ 8 ] ÷ [ 9 ] =
8 / 9
find the area of a triangle with vertices A(1,4)B(1,7),C(4,7)
Answers
9/2 Sq. units is a Right answer...
Answer:
4.5 units²Step-by-step explanation:
Given ΔABC with vertices:
A(1,4), B(1,7), C(4,7)We observe that
AB is vertical segment with length:
7 - 4 = 3 unitsBC is horizontal segment with length:
4 - 1 = 3 unitsThe area:
A = 1/2bhA = 1/2(3)(3) = 9/2 = 4.5 units²Hellppp pleaseee
Please be quick lol
Answers
Answer:
20(pi)
Step-by-step explanation:
• equation for the circumference of a circle= 2(pi)r
• You are given the diameter ( 20ft) but you need the radius (r) for the equation.
• divide 20 by 2 to get the radius since it is half of the diameter.
• 20/2=10 so c= 2(pi)(10)
• 2(10)=20
• plug in pi and your final answer is 20(pi)
A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?
Answers
Answer:
I don't think so cause average in my town is 100 to 109
Answer:
I don't think so
Step-by-step explanation:
¯\_(ツ)_/ i can't tell you
someone please help me!!!!!!
Answers
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
0.54+13,500=?/100+13,500 help pls
Answers
Answer:
54
Step-by-step explanation:
Find the sum of the three expressions and choose the correct answer.
-2u3v + 5uv - 1
7u3v - 2u2v2
5u2v2 - uv + 6
5 u3v + 3 u2v2 + 4 uv + 5
5 u3v - 3 u2v2 + 4 uv - 5
-5 u3v - 3 u2v2 + 4 uv + 7
Answers
Answer:
5 u³v + 3u²v² + 4 uv + 5
Step-by-step explanation:
im timed help me pls
Answers
Answer:
2
Step-by-step explanation:
Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)
Answers
Answer:
C.372
Step-by-step explanation:
A prism is a three dimensional shape with two identical shapes facing each other known as bases.
A triangular prism has two triangular bases and three rectangle.
From the net attached:
Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12 cm = 60 cm²
Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²
Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²
Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²
plis help me answer this question plis also give expolaniaton
Answers
Answer:
Option c and d is right.
Step-by-step explanation:
CHECK BY MULTIPLYING THEM.
Answer:
Answer C and D are correct.
Step-by-step explanation:
In c, 2m + m=3m, and then adding the 2 leaves you with 3m+2.
In d, m+m+m=3m, and then again you add the two.
The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.
Answers
Answer:
A train ticket costs $42
Step-by-step explanation:
5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)
5x = 240 - 30
5x = 210
x = 42
A train ticket costs $42.
What is the measure of angle R?
110°
140°
125°
70°
Answers
Hope this helps :D
easy algebra question below first correct answer gets brainliest