<h3>
Answer: 35 (choice C)</h3>
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Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
- D = 7b+1 = 7*17+1 = 119+1 = 120
- E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
- F = b+8 = 17+8 = 25
As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
Answer: 7: 17
Step-by-step explanation:
This doesn't really make sense but it's how I do it
8:02 = 7:62
7:62
<u> - 45</u>
7: 17
So,
We know that we cannot add or subtract quantities of the same kind.
-18xy can only be added/subtracted to 4yx, which is the same as 4xy. The result would be -14xy, or -14yx.
The correct option is B.
We know that
The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

°
Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.
Hence
the answer is
the distance between the two ships is 8 miles apart
alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles