Answers
Answer:
thanks
Step-by-step explanation:
We can prove this by contradiction.
Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.
Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.
By the Pythagorean Theorem, (PQ)2=a2+b2.
But we know that a2+b2=c2 and a2+b2=c2 and c=AB.
So, (PQ)2=a2+b2=(AB)2.
That is, (PQ)2=(AB)2.
Since PQ and AB are lengths of sides, we can take positive square roots.
PQ=AB
That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.
Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.
This is a contradiction. Therefore, our assumption must be wrong.
Step-by-step explanation:
We can prove this by contradiction.
Let us assume that c2=a2+b2 in ΔABC and the triangle is not a right triangle.
Now consider another triangle ΔPQR. We construct ΔPQR so that PR=a, QR=b and ∠R is a right angle.
By the Pythagorean Theorem, (PQ)2=a2+b2.
But we know that a2+b2=c2 and a2+b2=c2 and c=AB.
So, (PQ)2=a2+b2=(AB)2.
That is, (PQ)2=(AB)2.
Since PQ and AB are lengths of sides, we can take positive square roots.
PQ=AB
That is, all the three sides of ΔPQR are congruent to the three sides of ΔABC. So, the two triangles are congruent by the Side-Side-Side Congruence Property.
Since ΔABC is congruent to ΔPQR and ΔPQR is a right triangle, ΔABC must also be a right triangle.
This is a contradiction. Therefore, our assumption must be wrong
Related Questions
It takes Naomi 4 minutes to run 5 laps.
How many minutes per lap is that?
And remember is minutes per lap please do it fast
Answers
Answer:48 seconds per lap
Step-by-step explanation: 60 seconds per minute x 4 minutes= 240 seconds per lap. 240 seconds divided into 5 laps is 48 seconds per lap
39 - 15x if x = 2
Evaluate
HELP PLEASE!!
Answers
39 - 15x
15 x 2 = 30
39 - 30 = 9
cos 48 degrees in fraction
Answers
I'm having struggles with this, it would be much appreciated for assistance (:
Answers
I would be happy to help, but there is no problem
Step-by-step explanation:
Simplify completely*****
Answers
Answer:
[tex]\displaystyle x - 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 7x - 30}{x + 10}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 3)(x + 10)}{x + 10}[/tex][Fraction] Divide: [tex]\displaystyle x - 3[/tex]Line DCE is parallel to line AB
a) Find the size of angle ABC
b) Find the size of angle DCA
c) Calculate the size of angle ACB
Answers
Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Suppose that 2% of a population carries antibodies to a virus. For a research project, you need 30 people
with antibodies to the virus. How many people should you test so that the expected number of people with
the antibodies is 30?
Answers
Answer:
1500
Step-by-step explanation:
p = number of people who should be tested
.02p = 30
p = 30/.02
p = 1500
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. True or false: the map with a scale of 1 inch to 500 feet will be smaller
Answers
Dot plot 1 is the top plot. Dot plot 2 is the bottom plot.
According to the dot plots, which statement is true?
Х
The range of the data in dot plot 1 is less
than the range of the data in dot plot 2.
10
The mean of the data in dot plot 1 is
greater than the mean of the data in data
plot 2.
Х
х
The median of the data in dot plot 1 is
equal to the median of the data in dot plot
2.
The mode of the data in dot plot 1 is less
than the mode of the data in dot plot 2.
Answers
Answer:
the answer is b. The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.
Step-by-step explanation:
In the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.
What is dot plot?The dot plot is the way oif representation of the data. This data is plooted in the form of points or dots over an x-y axis. The dot polt is also known as the strip plot.
Dot plot 1 is the top plot. The value of it are as,
2,3,4,5,5,6,6,6,6,7,7,7,8,8,9,10
Dot plot 2 is the bottom plot. The value of it are as,
1,2,2,3,3,4,4,4,5,5,5,6,6,7,8,9
The options given in the problem are,
The range of the data in dot plot 1 is less than the range of the data in dot plot 2-Range is difference between the highest and lowest value. The range of the first dot plot is,
[tex]r_1=10-2=8[/tex]
The range of the Second dot plot is,
[tex]r_2=9-1=8[/tex]
Range of dot plots are equal.
The mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.Mean of the dot plot one is 6.1875 and mean of the dot plot second is 4.625.
The median of the data in dot plot 1 is equal to the median of the data in dot plotThe median of the data in dot plot 1 is 6 and the median of the data in dot plot is 4.5. Thus they are not equal.
The mode of the data in dot plot 1 is less than the mode of the data in dot plot 2.The mode of the data in dot plot 1 is 6 and the mode of the data in dot plot 2 is 4 and 5. Thus this is not correct option.
Hence, in the dot plots 1 and 2, the statement which is true is that the mean of the data in dot plot 1 is greater than the mean of the data in data plot 2.
Learn more about the dot plot here;
https://brainly.com/question/15853311
Draw the graph of y=-x
for values of x from -4 to 4
4
3
2
1
O
-4.
-3
-2
-1
-2
3
Answers
Classify the following triangle. Check all that apply
A Acute
B. Isosceles
C. Equilateral
D. Right
E. Scalene
OF Obtuse
SUOMIT
Answers
Answer:
acute
Step-by-step explanation:
Determine if the following is discrete or continuous data: The function c =
12p gives the cost c based on the number of pizzas p.
Answers
Answer:
Step-by-step explanation:
Remember, discrete data is separate, by itself, but continuous data goes on and can have numbers in between. So this problem is c = 12p is the cost of pizzas, you can have 1 pizza, 2 pizzas, 10 pizzas, 30 pizzas, etc., but you can't have 2.1314552 pizzas or 4.5, etc., so the data is discrete. Think of the graph, you would not connect the dots if you were graphing this data.
Is it possible to construct a triangle with side lengths of 35,120, and 125 units?
Answers
If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed
A company has 76 employees of whom x are members of a union. How many employees are not union members?
Answers
Answer:
70 - x.
Step-by-step explanation:
the number of employees that are not union members is the number of employees in total minus the number of union members.
Ken, the camp cook, makes 3 meals for every camper. The
equation y 3x shows the number of meals he makes,
which depends on the number of campers.
Select the graph with the correctly labeled axes for this situation.
Answers
Answer: number of meals on the left side then number of campers on the bottom
Step-by-step explanation:
A p e x and it says 3 meals for every camper it never said how long so it’s not going to be so the graphs with day in it next you can’t put campers on the side cause if you don’t have enough meals for everyone you ant goin keep the campers happy so that’s how I got my answer sorry if that was confusing brainless please
Answer:is D
Step-by-step explanation:
if x+y=5, then what does y-5 equal?
Answers
Answer:
-x
Step-by-step explanation:
rearrange the terms by adding or subtracting the same thing from both sides:
[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]
Absolute value of - 2/7
Answers
Explanation:
Absolute value is the distance from zero, or zero, on a number line, regardless of direction, which is always positive.
Answer:
Absolute value of - 2/7 is -0.285714285
hurry up need this answered quickly!
Out of the 95 customers at Hannah's boutique, 25 wore a size extra-large. What is the probability that a randomly selected customer wore a size extra-large?
Answers
Answer:
26.3158 percent chance fraction is 500/19
Step-by-step explanation:
hope this helps
pls mark brainliest
fraction is 500/19
In ΔQRS, the measure of ∠S=90°, SQ = 13 feet, and QR = 59 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answers
Answer:12.7
Step-by-step explanation:
Answer:
it's 12.7 on delta math
Step-by-step explanation:
Use the images above to answer the question
Answers
Pls help extra points and mark brainlist
Answers
Answer:
x-4=19
Step-by-step explanation:
Hope that helps!
Answer:
x-4 is equal to 19
may be this is answer of your questions
Jonathan has 3 1/3 yards of fabric. He cuts it into strips to wax his car. Each strip is 5/6 yards long. How many strips of fabric does he have?
Answers
3 1/3 = 10/3
Next, convert that to 6ths
10/3 = 20/6
Divide 20/6 by 5/6 = 4 strips of fabric
An apple has 80 calories. This is 12 less than 1/4 the number of calories in a package of candy. How many calories are in the candy.
Pls helpp
Answers
Answer:
368 calories are in the candy.
Step-by-step explanation:
80 + 12 = 92.
92 x 4 = 368.
Convert 32 degrees to radians
Answers
Answer:
32 degrees = 0.558505 radians
Step-by-step explanation:
Because I said so
Answer:
8π/45 rad
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Degrees to Radian Conversions: π/180Step-by-step explanation:
Step 1: Define
32°
Step 2: Convert
Set up: 32°(π/180°)Multiply: 8π/45 radhow many seconds are there in 8 minutes 12seconds
Answers
Answer:
1 minute has 60 seconds
therefore 8 minutes will have 60 × 8 seconds = 480 seconds
480 + 12 = 492
hence 8 minutes 12 seconds will have 492 seconds
Answer: 492 seconds
Step-by-step explanation:
1min = 60sec
therefore, 8min 12sec = [8 x 60] + 12
= 480 + 12
= 492 sec
Hope it helped u,
pls mark as the brainliest - Ayaan707 for help :) -
^_^
SOLVEEEEEE XXXXXXXxx
Answers
Answer:
25 degrees
Step-by-step explanation:
The total angle sum of a triangle is 180 degrees
since the two sides are equal...
(x) + (x) + (4x + 30) = 6x + 30 = 180
==> x = 25 degrees
BRAINLIEST WILL GIVE YES U HEARD ME
Answers
Answer:
A / commutative property
Step-by-step explanation:
Please help ASAP. Thanks so much.
Answers
C is the answer
4,-14
Find an angle 0 coterminal to 904°, where 0° < 0 < 360°
Answers
Answer:
184
Step-by-step explanation:
What you can do is just divide 904/360 and the remeinder is the answer so for this 1080 is too big so 720 and it is 904-720=184
Can someone please help
Answers
Answer:
(x+5) and (x-7).
Step-by-step explanation:
The given equation is :
[tex]x^2-2x-35[/tex]
We need to write it in factored form.
We have to find two number such that their sum is 2 and product is 35.
We know that,
7×5 = 35 and 7+(-5) = 2
So,
[tex]x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)[/tex]
Hence, the required factors are (x+5) and (x-7).