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Ierofanga [76]
2 years ago
12

In the Uffizi gallery in Florence, Italy, there is a room built by Buontalenti called the Tribune (La Tribuna in Italian). This

room is shaped like a regular octagon. What is the measure of the angle formed by two consecutive walls of the Tribune?
Mathematics
2 answers:
Novosadov [1.4K]2 years ago
7 0

Answer:

135°

<em>I hope this helps you</em>

<em>:)</em>

Leto [7]2 years ago
5 0

Answer:

135 degrees

Step-by-step explanation:

135 degrees form the interior angle of a regular octagon

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astraxan [27]
ANSWER: (5,2)

according to the graph, the vertices of the
curve are 5 in abscissa and 2 in ordinate
hence the vertex (5,2)
3 0
2 years ago
Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1
love history [14]
The events A and B are independent if the  probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
 Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25. 
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
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5 0
3 years ago
Read 2 more answers
According to one web page on the resale value of cars, a BMW that cost $71,000 in 2003 depreciates in value about 15% a year. Ho
sladkih [1.3K]

71,000 *(1-0.15)^10 =

71,000*0.85^10 =

$13,978.08

3 0
3 years ago
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l
devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem):  <em>It isn't necessary to know that BC is 5.</em>

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle,  if it only gives ∠CBD as a right angle, or if it gives both as a right angle.  Below, we prove that it doesn't matter, because regardless, both must be right angles.

<u>Is Triangle ABD a "right triangle"?</u>

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary.  Since they are supplementary, their measures add to 180°.  Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle.  Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

<u>Pythagorean Theorem</u>

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle.  (<em>Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b.  The only thing that is required is that "c" be the length of the hypotenuse</em>)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs.  Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

a^{2} +b^{2} =c^{2}

(8)^{2} +(15)^{2} =(s)^{2}

64 +225 =s^{2}

289 =s^{2}

Applying the square root property...

\pm \sqrt{289} =\sqrt{s^{2}}

s=17 \text{ or } s=-17

<u>Final Solution</u>

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0
2 years ago
Is the ordered pair left parenthesis 4 comma negative 1 right parenthesis(4,−1) a solution of the following system of​ equations
blondinia [14]

Answer:

No

Step-by-step explanation:

(x,y)=(4,-1)

73x+5y=7

73*4+5*(-1)=287

287\neq 7

____________________________

175x−3y=17

175*4-3*(-1)=703

17\neq 703

7 0
3 years ago
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