Which expression is equivalent to 4 to the second power times 4 to the negative ninth power

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*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°