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
Answer:
468
Step-by-step explanation:
831-x would be the equation to find the amount of peanut butter cookies. You'd plug this into the equation to find the amount of cookies in relation to money meaning your equation is 1.5x+1.65(831-x)=1316.7. You then simplify and solve to find 468
Answer:
$921.50
Step-by-step explanation:
If Angela earns $24.25 per hour, and she works 40 hours per a week, then for a week she will earn $24.25 * 40 = $970.00
She pays 5% state income tax on her weekly pay check, then her earnings after tax will be 0.95 * $970.00 = $921.50
If you copied the "n 3" part, it's very likely that your job was to create a pattern with either the rule n^3 or n*3.
In the case of the former, we can start with the initial number of 1 and increase by 1.
In that way, using the rule n^3 would create this pattern of numbers: 1, 8, 27, 64, and so on. Or stated in another way 1*1*1, 2*2*2, 3*3*3, 4*4*4 ...
In the case of the latter, we can start with the initial number of 1 and increase it by 1.
In this way, using the rule of n*3 would create this pattern of numbers: 3, 6, 9, 12, 15, 18 and o son. Or stated in another way 1*3, 2*3, 3*3, 4*3, 5*3 ...
Step 1: Add up all the numbers: 12 + 12 + 11 + 10 + 9 + 4 = 58
Step 2: Divide by how many there are. There are 6 numbers so, 58 <span>÷ 6 = 9.6</span>
<span /><span>Answer: 9.6
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