Explanation:
Addition Property Of Equality.
We can see the person adds 3/4 to each sides.
This action is to keep the equation equal but also eliminate the -3/4 on the left side.
Answer:
distance of diver 1 from the shark ≈ 18.88 m
Step-by-step explanation:
The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.
Therefore,
180 - (52 + 39) = 180 - 91 = 89
°. Now the three angle of the triangles are 52°, 39° and 89°.
Using the law of sine we can find the distance of the diver 1 from the shark.
let a = distance of the first diver to the shark.
a/sin 39° = 30/sin 89°
cross multiply
a sin 89° = 30 sin 39°
divide both sides by sin 89°
a = 30 sin 39°/sin 89°
a = 30 × 0.62932039105
/sin 89°
a = 18.8796117315
/0.99984769515
a = 18.8824876258
a ≈ 18.88 m
Answers:
<h2>17. B</h2><h2>18. B</h2>
Step-by-step explanation:
17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.
The "then" part of the conditional is the "to prove" statement.
In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.
So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.
<h2>The answer is B: Assume angle A is an obtuse angle</h2>
18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.
We need the opposite of this, which would be assuming that KL <u><</u> JK.
<h2>The answer is B: Assume that KL <u><</u> JK</h2><h2>I'm always happy to help :)</h2>
The value of x from the given expression is 5/6
<h3>Expansion of equation</h3>
Given the expression to expand expressed as:
15 = 3/5(6x + 20)
We are to determine the value of x
15(5) = 3(6x + 20)
Expand
75 = 18x +60
Collect like terms
18x = 75 - 60
18x = 15
x = 15/18
x = 5/6
Hence the value of x from the given expression is 5/6
Learn more on equation here: brainly.com/question/13763238
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Answer:
y=-1/2x+2
Step-by-step explanation:
2 = 0 +b
2=b
y=-1/2x+2