Answer:
Port r is 100° from Port p and 26km from Port p
Step-by-step explanation:
Lets note the dimension.
From p to q = 15 km = a
From q to r = 20 km= b
Angle at q = 50° + 45°
Angle at q = 95°
Ley the unknown distance be x
Distance from p to r is the unknown.
The formula to be applied is
X²= a²+ b² - 2abcosx
X²= 15² + 20² - 2(15)(20)cos95
X²= 225+400-(-52.29)
X²= 677.29
X= 26.02
X is approximately 26 km
To know it's direction from p
20/sin p = 26/sin 95
Sin p= 20/26 * sin 95
Sin p = 0.7663
P= 50°
So port r is (50+50)° from Port p
And 26 km far from p
Answer:
Linear Pair
Step-by-step explanation:
The kind of angle formed by a and b when put together is a straight angle.
A straight angle means that a+b=180 degrees.
a and b are supplementary.
They are also a linear pair since they are already put together. Meaning, they share a common vertex and a common side while forming a straight angle together.
They aren't complementary because the angles exceed 90 degrees when added together. Complementary angles should add up to 90 degrees exactly.
They aren't vertical angles because they don't happen across from each other in two intersecting lines. (Note: Vertical angles are also congruent.)
They aren't alternate interior because they don't even happen at two different intersections. So we would definitely not go to to that, alternate exterior, same side interior, same exterior, or corresponding angles. Because all of these require the angles to happen at two different intersections.
There is something wrong with drawing. IC intercepts with AB at A.
Answer:
432
Step-by-step explanation:
First you find the number of male dogs:
0.72 × 1000 = 720
3/5 of these 720 male dogs are over the age of 5. That number is ...
3/5 × 720 = 432
432 of the dogs were males over age 5.
Answer:
4d - 3
Is your simplified expression
