Answer:
30 seconds
Step-by-step explanation:
Find the total distance needed to be traveled. 520-250 = 270
Find combined rate. 4+5=9
Divide distance needed to be traveled by combine rate to get answer.
270/9 = 30.
Trapezoid- 45 square units
Triangle- 27 square units
Parallelogram (to the right figure):
30 square units
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The diagram is shown in the picture. The real numbers are divided into rational numbers and irrational numbers. Example of a rational number is any fraction like 1/2, while an irrational number is one that cannot be expressed as a fraction like π. Then, integers are also part of the rational numbers which include positive and negative whole number like -5, and +4. Whole numbers are positive numbers from 0 to whatever number. Lastly, the natural numbers are whole numbers with the exception of zero. So, these are numbers from 1 to infinity.
a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
<h3>What are Similar Triangles?</h3>
The ratios of the corresponding sides of two triangles that are similar are equal.
Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.
a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)
Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. AB = 150 ft
Distance from the ship to the shore = SD = ?
DC = 130 ft
CB = 23 ft
Thus:
AB/SD = CB/DC
Substitute
150/SD = 23/130
SD = (150×130)/23
SD = 847.8
Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
Learn more about similar triangles on:
brainly.com/question/11899908