The ratios in a 30-60-90 triangle are 1 : ![\sqrt[2]{3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B2%5D%7B3%7D%20%20)
: 2. Therefore, since the hypotenuse is the longest and it is 10, 10 / 2 is 5 meaning 5 is the smallest side.
Answer:
x>14
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4>−2x+24
Step 2: Flip the equation.
−2x+24<−4
Step 3: Subtract 24 from both sides.
−2x+24−24<−4−24
−2x<−28
Step 4: Divide both sides by -2.
−2x−2<−28−2
x>14
<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
</span>
i) 2x + 2y = 8
ii) x + y = 4
<span>
use equation ii) to write y in terms of x as : y=4-x,
substitute y =4-x in equation i):
</span>2x + 2y = 8
2x + 2(4-x) = 8
<span>2x+8-2x=8
8=8
this is always true, which means the equations have infinitely many common solutions.
Answer: </span><span>There are infinitely many solutions.</span><span>
</span>
