If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
When we <em>divide </em>both sides of the <em>inequality</em>,
3x > 27 by 3, <em>3x(3) > 27(3)</em>
we get x > 9, as the <em>simplified form </em>of the<em> inequality.</em>
Thus, giving us the answer of:
<em>x > 9</em>
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = 
PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Answer:
x = 80 degree
Step-by-step explanation:
As sum of all angles in a triangle is equal to 180
so:
According to the given figure:
70 + 30 + x = 180
By simplifying
100 + x = 180
x = 180 - 100
x = 80 degree
i hope it will help you!
Answer:
30°
Step-by-step explanation:
