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Nikolay [14]
2 years ago
10

Help Please! Will Make Brainliest!

Mathematics
1 answer:
Triss [41]2 years ago
4 0

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

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A ​ 75 inch is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
podryga [215]

Answer:

15

Step-by-step explanation:

15x4 times the string=60

60+15 is the length of the smaller string=75 inches of the total string.

Hope this helps pls give brainliest

6 0
2 years ago
A parking garage allows users to park the first hour free and then charges $2.50 for each additional hour or fraction of an hour
Snowcat [4.5K]

The first hour is free, and the rest charges is $2.50


Let x be the time.

Let y be the total


Your equation will look like


When x < 2, y = 0

When x > 1, y = $2.50(x)


So:


1 < x < ∞ for hours, then equation will look like:

y = total amount

$2.50 is cost (remember that the first hour is for free, and so you subtract $2.50 from the total.


$2.50x - $2.50 = y should be your equation.


hope this helps

6 0
3 years ago
Read 2 more answers
5) A cube has height of 3 cm. What is the volume of the cube?
ElenaW [278]

Answer:

V =27cm^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = 3^3

V = 3^3

V =27cm^3

6 0
3 years ago
Read 2 more answers
*****WILL GIVE BRAINLEST IF CORRECT******
PSYCHO15rus [73]

Conner's work is correct. To combine and make it simple, you Multiply:

(3^5+9)+(6^8+10) which will equal 3^14 6^18.

But Jane's work, instead of adding, Jane multiplies. So, Conner is correct.

Hope that helped!

5 0
3 years ago
1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?
Studentka2010 [4]

Answer:

Step-by-step explanation:

x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3

\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}

\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}

=2.75

6 0
3 years ago
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