DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 43)

Problem 1 :

In the given figure, AC = CD. The measure of angle EBC is 45° and the measure of angle ACD is 104°. What is the value of x?

Solution :

Problem 2 :

In the figure shown, points Q, R, S and T lie on line segment PV, and line segment RU intersects line segment SX at point W. The measure of ∠SQX is 48°, the measure ∠SXQ is 86°, the measure of ∠SWU is 85°, and the measure of ∠VTU is 162°. What is the measure, in degrees, of ∠TUR?

Solution :

Problem 3 :

A scientist initially measures 12,000 bacteria in a growth medium. 4 hours later, the scientist measures 24,000 bacteria. Assuming exponential growth, the formula P = C(2)^rt gives the number of bacteria in the growth medium, where r and C are constants and P is the number of bacteria t hours after the initial measurement. What is the value of r?

Solution :

Problem 4 :

A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of p?

Solution :

Problem 5 :

Suppose an online store has an item on sale for 10% off the original price. By what percent does the store have to increase the price of the item in order to sell it for the original amount? (Round your answer to the nearest hundredth).

Solution :

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