Pls in next 10 minutes - class in 20 mins & we have a test :

the vertex of an angle measuring 32° is in the exterior of a circle and its sides are secants of the circle. if the sum of the measures of the intercepted arcs is 180°, find the measure of each intercepted arc.

Let x = the measure of the larger arc and

let y = the measure of the smaller arc which is closest to the angle’s vertex.  We know that x + y = 180 because that is given.  

The secant-secant angle has a measure that is half the difference of the intercepts arcs. That means (1/2)(x - y) = 32 for this problem

We just need to solve the system

x + y = 180 and x - y = 64

Adding the equations you get 2x = 244 so x = 122 degrees and y = 58 degrees

Step-by-step explanation:

Square Root of 41 to the nearest tenth, means to calculate the square root of 41 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 41 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 41 to be:

√41 = 6.40312423743285

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

6.40

Step 3: Round

Round 6.40 so you only have one digit after the decimal point to get the

6.4

To check that the answer is correct, use your calculator to confirm that 6.42 is about 41.

Step-by-step explanation: