Laws of Sines with find the angle.
Find each measurement indicated. Round your answers to the nearest tenth. Part 1

1. H ≈ 49.1°

2. F ≈ 38.0°

3. R ≈ 17.0°

Step-by-step explanation:

1.

We need to find angle H, which is the third angle. We are given two sides and an angle, so we can use the Law of Sines to solve.

The Law of Sines states that for a triangle with side lengths a, b, and c and angles A, B, and C:

Here, we can say that a = 22, b = 27, and B = 68. We want to find "A", which is the same angle as H:

Solve for H:

H ≈ 49.1°

2.

Use the Law of Sines again (use the same method as above):

Solve for F:

F ≈ 38.0°

3.

Use the Law of Sines again (use the same method as before):

Solve for R:

R ≈ 17.0°

answer: 20

step-by-step explanation: subtract the minimum date value from the maximum data value to find the date range. in this casem the date range is 42 - 22 = 20

hope this ! : ) ~zane

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.