Answer:
b. x=2
Step-by-step explanation:
Step 1- Move the variable to one side.
12x-8= 3x+10
-3x -3x
9x-8= 10
Step 2- Add 8 to both sides.
9x-8= 10
+8 +8
9x= 18
Step 3- Divide to both sides.
<u>9x</u>= <u>18</u>
9 9
x= 2
The two pairs are Pythagorean triples because if you plug the two legs of a right triangle into the Pythagorean theorem(A^2+B^2=C^2), then you will find the measurement for the third side(hypotenuse). i.e. 15^2+12^2=9^2(it's the Pythagorean triple 3,4,5 multiplied by 3). This works with any triple, as long as your using the legs of the triangle and as long as the triangle is a right triangle.
Answer:
6 7/12
Step-by-step explanation:
We need to get a common denominator, which is 12
12 1/4 - 5 2/3
12 1/4*3/3 - 5 2/3*4/4
12 3/12 - 5 8/12
We will need to borrow from the 12 since 3/12 is less than 8/12. Write the 1 we borrow as 12/12
11 + 12/12 + 3/12 - 5 8/12
11 15/12 - 5 8/12
6 7/12
Option A: SU, TU, ST is the right answer
Step-by-step explanation:
In a triangle
- The largest side and the largest angle are opposite to each other
- The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
- The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
- The smallest angle is m∠T = 25° so the shortest side is SU
- The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
Hence,
Option A: SU, TU, ST is the right answer
Keywords: Geometry, Triangles
Learn more about triangles at:
#LearnwithBrainly
Total number of marbles = 10
Number of red marbles = 4
Number of blue marbles = 6
Probability = 
The probability that the first marble is blue = 
The probability that the first marble is red =
; 9 because 1 marble has already been taken out.
Joint probability= probability of event A * Probability of event B
=
=