First, you need to distribute on the right side, then it would be -2x + 3 > 6x -3 then you would add 2x to both sides to get 3 > 8x -3 then you add 3 to each side to get 6 > 8x. Now you divide by 8 to get 6/8 that simplified is 3/4. X=3/4
Answer:
The model of the dogs house is 9 inches tall.
Step-by-step explanation:
36 ÷ 4 = <u>9 inches tall</u>
Answer:
4/5 times 40 = 32
1/6 times 48= 8
5/8 times 64= 40
Step-by-step explanation:
Hope this helps chu! Credit to the person below as well!
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>