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elena-s [515]
3 years ago
7

∠A is an acute angle in a right triangle.

Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
Cosine = adjacent / hypotenuse
So that means the adjacent side = 15 and the hypotenuse = 17
By Pythagorean Theorem, we know that
opposite^2 = hypotenuse^2 - adjacent^2
opposite^2 = 17^2 - 15^2
opposite^2 = 289 - 225
opposite^2 = 64
opposite side = 8

sine = opposite / hypotenuse
So,
sine A = 8 / 17


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Line p is parallel to line q. Which proof explains why the sun of the interior angles of the triangle must be 180
V125BC [204]

Answer:

We consider a triangle ABC as attached in the answer.

We draw a line parallel to AB that passes  through point C.

Angles C and C' are vertical angles,  therefore ∠C = ∠C'.  

Angles B and B' are corresponding angles,  therefore ∠B = ∠B'.

Angles A and A' are corresponding angles, therefore ∠A = ∠A'.

it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.

The three angles A', B', and C' form together a straight angle  so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.

This proofs that sum of angles of a triangle is equal to 180.

4 0
3 years ago
You can model the population of a certain city between the years 1965 and 1995 by the radical function P(x)= 75,000 cubed root o
Naddik [55]
<span>P(x)= 75,000*(x-1940)^(1/3)
then the P = 245000 means

245000 = </span>75,000*(x-1940)^(1/3)
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4 0
3 years ago
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amid [387]

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PLS HELP 15 POINTS!<br><br> Find part “b”.
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Answer:

b=45/4

Step-by-step explanation:

This is a special triangle 30-60-90.

In big triangle hypotenuse 15, short leg x=(hypotenuse/2), x=15/2.

In smallest triangle :

1. This is also special triangle 30-60-90

2. x=15/2 hypotenuse

3. "a" is a shortest leg in the smallest triangle,

so a=(15/2)/2=15/4

a+b=15

15/4 +b=15

b=15 -15/4=15*4/4 -15/4 = 45/4

b=45/4

7 0
3 years ago
I forgot everything I learned
ikadub [295]

Answer:

What do you need help with

Step-by-step explanation:

Do you need help with a specific question? Or with the whole assignment?

6 0
2 years ago
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