2) Find the missing digit for the following bank identification numbers:
1 answer:
You might be interested in
*see attachment for the diagram
Answer/Step-by-step explanation:
1. Antonio's statement is correct because the sum of measure of the minor intercepted arc DE and the angle formed by tangents CE and CD outside the circle equal 180°.
According to the theorem. Therefore, the statement is correct.
2. To find the measure of <A, which is a central angle of the circle, find the value of x. Then find the measure of the intercepted arc.
According to the central angle theorem, the measure of a central angle equal the intercepted minor arc.
Therefore, the measure of the intercepted minor arc DE = m<A.
Step 1: find the value of x using the equation gotten in question 1.
Combine like terms
Step 2: find the measure of the minor intercepted arc DE, by substituting x = 25 into 5x - 2.
measure of arc DE = 5x - 2
= 5(25) - 2 = 125 - 2
measure of arc DE = 123°
Step 3: find the measure of centra angle A.
m<A = intercepted arc DE (central angle theorem)
m<A = 123°
