Find each measure measurement indicated. Round your answers to the nearest tenth. Please show work​

#1: The measure of m<B is 125°.

#2: M<Y is equal a 27°.

#3: So the length of DF is 5.99 km.

#4: the side length AC is 13.1 feet.

Explanation:

# 1: The following given,

c = AB = 17 cm

a = BC = unknown

b = CA = 44 cm

Ø = 125

M<B means it is the angle at vertex B of the triangle, it is also the only angle given in thbe figure.

Therefore, The measure of m<B is 125°.

#2: We can calculate the value of the angles by means of the law of sine which is the following:

We need you know the Y value, therefore we replace and solve for Y

#3: In order to find the length of Df, we can use the law of sines in this triangle:

So the length of DF is 5.99 km.

#4: We are given two two angles and one side length.

<A = 37°

<B = 65°

AB = 13 ft

We are asked to find side length AC

We can use the "law of sines" to find the side length AC

Let us first find the angle <C

Recall that the sum of all three interior angles of a triangle must be equal to 180°

So, the angle <C is 78°

Now let us substitute all the known values into the law of sines formula and solve for AC

Therefore, the side length AC is 13.1 feet.

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step-by-step explanation:

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step-by-step explanation: