Answer:
1. 43/36
2. 1/2
Step-by-step explanation:
1. 7/9 + 5/12
= LCM of 9 and 12 is 36
= 28/36 + 15/12
= (28 + 15) / 36
= 43/36
2. 21/24 - 3/8
= LCM of 24 and 8 is 24
= 21/24 - 9/24
= (21 - 9) / 24
= 12/24
= 1/2
The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
For the answer to the question above asking to p<span>rove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle,
</span>A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²)<span> is the longest side and is opposite the right angle.
</span>⇒ α² + β² = c²
<span>
"</span>In any right triangle ( 90° angle) <span>, the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."
</span>
For example: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.
c2 = a2+ b2
c2 = 32+ 42
c2 = 9+16
c2 = 15
c = sqrt25
c=5
Answer:
(6,6)
Step-by-step explanation:
3x+5y=48
-3x+5y=12
Ok so when you're doing elimination you want to combine all of the like terms. In this case, we need to combine 3x and -3x, 5y and 5y, and 48 and 12. 3x and -3x cancel out, so that leaves you with 10y=60. Solving for y gives you y=6. Now you need to solve for x, so using 3x+5y=48, by plugging in y you get 3x+(5*6)=48. Simplifying that gives you 3x+30=48. Subtract 30 and divide by 3, and you get x=6. Thus the Answer is (x,y) or (6,6)
