Solve for all the missing angles for triangle ABC: a= 10cm, b=15cm, c= 20cm. State the angles in order (Angle A, B,C) and round answers to the nearest hundredth

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

step 1

Find the measure of angle A

Applying the law of cosines

we have

substitute

Solve for A

using a calculator

step 2

Find the measure of angle B

Applying the law of cosines

we have

substitute

Solve for A

using a calculator

step 3

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

we have

substitute

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer is 0.071

good luck! : d