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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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What is the inverse of the following statement?
Ksju [112]

The inverse of the statement is 'If it is Wednesday, then it is not sunny'

<h3>What is the inverse of a word?</h3>

The inverse of a word is simply the contrary nature or quality and could be termed opposite or  reverse of a proposition or theorem that is formed by'

  • contradicting both the subject and predicate
  • Contradicting both the hypothesis and conclusion of a given proposition or theorem

For instance, the inverse of "if A then B" is "if not-A then not-B"  and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive

From the information given, we have;

'If it is not Wednesday, then it is sunny'

We can see that the inverse of the proposition is;

'If it is Wednesday, then it is not sunny'

Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'

Learn more about inverse here:

brainly.com/question/14391067

#SPJ1

6 0
2 years ago
What should be done so that the expression will have a value of 10?<br><br> 12 - 2 + 2 2 ÷ 8
Liula [17]
Answer: 10
use (PEMDAS)
P parentheses ()
E exponents
M multiplication • , () , x
D division
A addition +
S subtraction -
Explanation:
There are no parentheses.
There are exponents.
The multiplication is the exponents.
There is division.
There is addition and subtraction.
-how to solve-
First, do 2 to the second power and get 4.
Next, do 12-2+4 divided by 8.
Next do multiplication: there’s no more.
Next do division: you can’t do 4 divided by 8 so instead, do 12-2 = 10 plus 8.
Hope this helps!
3 0
3 years ago
How do you write 77/20 in a decimal
Sveta_85 [38]
Writing it as a decimal would be 3.85 you just divide it
7 0
3 years ago
Read 2 more answers
Subtract. 7/15−(−3/5) Enter your answer in the box as a simplified mixed number.<br> HELP ASAP
viktelen [127]
The answer is 1 1/15
5 0
3 years ago
Read 2 more answers
Sandals and flip-flops on sale at the store! Janet purchased 3 pairs of sandals and 1 pair of flip-flops for $23.50, while Micha
Lerok [7]

Answer:

1 sandal= $7

1 flip flop =$2.5

Step-by-step explanation:

say one sandal costs x and one flip flop costs y

3 x+y=23.50

4x+2y=33

solve using simultaneous equationsto find the values of x and y

3 0
3 years ago
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