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:
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We will use the Unitary method to solve this question
304/4=76
Therefore The train travels 76 miles per hour
76*7.5=570
Therefore the train travels 570 miles in 7.5 hours
Distribute to each
(-4)(-6+4v+2u)=-4(-6)-4(4v)-4(2u)=24-16v-8u
Answer:
100+90+7
200+20
Step-by-step explanation:
The axis of symmetry of f(x) is:
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to
the y-axis ⇒ 2nd answer
Step-by-step explanation:
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where
- (h , k) are the coordinates of its vertex point
- The axis of symmetry of it is a vertical line passes through (h , 0)
- The minimum value of the function is y = k at x = h
∵ f(x) = a(x - h)² + k
∵ f(x) = (x - 2)² + 1
∴ a = 1 , h = 2 , k = 1
∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)
∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)
∵ Any vertical line is parallel to y-axis
∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and
passes through (2 , 0)
The axis of symmetry of f(x) is:
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to
the y-axis
Learn more:
You can learn more about quadratic function in brainly.com/question/9390381
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