Answer:
Step-by-step explanation:
We can use the law of sines here. However, we will first need to solve for the missing angle.
The interior angles of a triangle add up to 180.
Therefore,
where 
is the missing angle.
So the missing angle is 55 degrees.
Now we can use the law of sines to set up a proportion.
Now simplify the equation.
<em>Rounded to the nearest hundredth.</em>
3/4 would be the greatest distance.
2/3 would be the next greatest distance.
1/2 would be the least greatest distance.
HOPE THIS HELPED
:)
Answer:
A) 5 and B) 5
Step-by-step explanation:
A) 5x-12=13
+12 +12 (add 12 to the 13)
5x=25
(then divide 25 by 5 which is 5 so the answer is 5)
B) 8(x+3)=64 (first use distributive property)
8x+24=64
-24 -24 (then subtract 24 to 64 which is 40)
8x=40
(then divide 40 by 8 which is 5 so that is it!)
I believe this is correct, I hope this helps :D
Answer:
-16 and -14
14 and 16
Step-by-step explanation:
Let's say x is the smaller integer and x+2 is the larger integer. Their product is 224.
x (x + 2) = 224
x² + 2x = 224
Complete the square and solve for x.
x² + 2x + 1 = 225
(x + 1)² = 225
x + 1 = ±15
x = -16 or 14
x + 2 = -14 or 16
So the integers are either -16 and -14, or 14 and 16.
Remember the distributive property
a(b+c)=ab+ac
reverse it
ab+ac=a(b+c)
5x(x+9)-7(x+9)
notice that (x+9) is common to both, just like a
(5x-7)(x+9)
