Two ships, one sailing at 30mi/h and the other at 45mi/h, left port at the same time. Three hours later they were 120mi apart. If you had to find the angle between their courses, an equation that could be used to solve this problem is: A. cosθ=902+1202−13522(90)(120)

B. cosθ=302+1202−4522(30)(120)

C. cosθ=902+1352−12022(90)(135)

D. cosθ=302+452−12022(30)(45)

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

$79500

step-by-step explanation: