Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
Step-by-step explanation: i hope this helps! :)
The correct statement is (C)
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
example:
The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.
Given : Hypotenuse = 16 units
Let us consider the given side of a triangle as the perpendicular height = 8 units
On substituting the given dimensions to the Pythagoras theorem formula
Hypotenuse2 = Base2 + Height2
162 = B2 + 82
B2 = 256 - 64
B = √192 = 13.856 units
So, Using the definition of Pythagoras theorem
the statement would be
If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.
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what linear equation is represented by the table
0 -2
1 2
2 6
3 10
HELP PLEASE!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
7.5 + 7.5 = 15
[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]
cross multiply
15x = 60
divide
x = 4
or
since the bigger one is 2x smaller
8/2 = 4
Please Help! What decimal is less than 0.4?
The decimal 0.7 is less than 0.4.
We have to determine
decimal is less than 0.4
What is the decimal?
A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.
We know that the decimal numbers increase in size as we move to
The right on the number line
0.4 is less than 0.7.
Let us now compare 1.57 and 1.6.
Therefore, The decimal 0.7 is less than 0.4.
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The hypotenuse of a certain triangle is 5 units long and one leg is 3 units long
Did the area of the triangle
Answer:
6 units^2
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]3^{2} +b^{2} =5^{2}[/tex]
[tex]9+b^{2} =25[/tex]
[tex]b^{2}=16[/tex]
[tex]b=4[/tex]
Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
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Devaughn is 7 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?
Answer:
Sydney is 72 years old
Step-by-step explanation:
My friends name is Sydney too lol
Kam
Find the area of this
irregular figure.
-9 ft
[?] square feet
8 ft
15 ft
26 ft
Answer:
c
Step-by-step explanation:
im on plato just passed the test
Please, my whole grade depends on this question!!!
Answer:
y = 14.4x - 18.4
Step-by-step explanation:
This is the equation for the regression line, I hope this helps!
Part 2 of this question is..
What is Linda's Variation among all 10 days? We found the answer is 20 minutes but how do I show the work?
Answer:
20
Step-by-step explanation:
If the surface area of the box of cereal is 272 inches squared, find the length of the box.
Answer:
x= 8 inches
Step-by-step explanation:
you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-
dimensions of the box:
12 in x 2 in x ?
=272 square inches
and we know that there are 6 faces
area= 2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)
area = 272 sq. in. = 48 + 4x + 24x
272 = 48 + 28x
272 - 48 = 28x
224 = 28x
x = 8 inches
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
The product of 3m and 5r is 15mr True or False Explain...
Step-by-step explanation:
let's see....
3m × 5r = 15mr
15(m × r)
15mr.
if it helps don't forget to like and mark me down
What’s the correct answer for this question?
Winy bought 9 light bulbs at a cost of 1.19 cents each. how much did winy spent in all of the light bulbs
Answer:
$10.71
Step-by-step explanation:
$1.19 * 9 = $10.71
Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up
Answer: D
Step-by-step explanation:
d. translation 1 unit left & 1 unit up
right on edg
help! the measure of XY = 140 find the measure of angle 0
Answer:
it's 140 ÷ 2 = 70
bcz the XY is a Inscribed angle
Choose the equation that best describes the image
Answer:
80 degrees - 43 degrees = ?
Step-by-step explanation:
Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?
Answer:
door Sai so Lally shall icb kiddo do you have any questions
Step-by-step explanation:
ok CV bjf
An ice cream store sells 5 drinks, in 3 sizes, and 3 flavors. In how many ways can a customer order a drink?
Answer:
45 ways
Step-by-step explanation:
5*3*3 = 45
Answer:
45
Step-by-step explanation:
5*3*3
5*3=15
15*3=45
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
Answer:
12.
12% of 100= 12.
The product of a number and 5 increased by 12 is 42. What is the number?
Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.
Can someone help me with this pls
solve for x. need help pls
Math escape room level 3 clock help my answers aren’t working. Image included
Answer:
x = 6
Step-by-step explanation:
I'm not sure if it's correct
find the least common multiple of 10,15,25 please no links or photo
Answer:
150
Step-by-step explanation:
The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .
find the value of x
please
Answer:
x = 51
Step-by-step explanation:
These angles equal each other because they're vertical angles so:
2x + 8 = 110
2x = 110 - 8
2x = 102
x = 51
The temperature outside is 10°F. By evening, the temperature has dropped by 15°F. What is the new temperature?
Find the mean of the data in the bar chart below.
Answer:
2.5
Step-by-step explanation:
1/20 + x = 1/10 what is the value of x
Answer:
1/20
Step-by-step explanation:
1/20 +x = ⅒
multiply through by 20
1+20x=2
1-2=-20x
-1= -20x
1/20=x
An entry code into a building is a 5-digit number.
The number of different codes can be counted using
a. permutations
b. combinations
Answer:B
Step-by-step explanation:
help anyone like asap plss
Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.
Step-by-step explanation: Hope this help :)
