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frutty [35]
3 years ago
6

A) side-side-side triangle similarity postulate

Mathematics
2 answers:
Goryan [66]3 years ago
8 0
The answer is B.) Angle-Angle Triangle Similarity Postulate, however the extra pair of congruent angles were unnecessary since the Angle-Angle Similarity Postulate only needs two pairs of angles to be congruent in order to be true.
Strike441 [17]3 years ago
7 0
The question tells you that  the 3 corresponding angles are equal.

For similarity you only have to know that 2 corresponding angles are equal.
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2. Find the value of x and y rounded to the nearest tenth.
SVETLANKA909090 [29]

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

\sin{45^\circ} = \frac{17}{x}

x = \frac{17}{\sin{45^\circ}}

x = 24.

y is divided into two segments.

  • The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
  • The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

\cos{30^\circ} = \frac{y_1}{34}

y_1 = 34\cos{30^\circ} = 29.4

\cos{45^\circ} = \frac{y_2}{24}

y_2 = 24\cos{45^\circ} = 17

Then, the value of y is given by:

y = y_1 + y_2 = 29.4 + 17 = 46.4.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

4 0
2 years ago
A regular polygon had n-folds rotation symmetry. how many line of symmetry must it have
VashaNatasha [74]
6.6 Symmetries of Regular Polygons A Solidify Understanding Task A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line segment that connects non-consecutive vertices of the polygon. For each of the following regular polygons, describe the rotations and reflections that carry it onto itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation) 1. An equilateral triangle 2. A square 3. A regular pentagon 4. A regular hexagon  
3 0
3 years ago
Read 2 more answers
Write using exponents. Work from left to right on the grid. 7*7*7*7
amm1812
7^4  the ^ is the exponent symbol if you did not know 
7^4=2,401
8 0
3 years ago
Read 2 more answers
What is the rate of change of the function?
scoundrel [369]

Answer:

rate of change = 3

Step-by-step explanation:

to find the rate of change \frac{y1 - y2}{x1 - x2}

(0,-4) (1,-1)

\frac{-4+1}{0-1} = \frac{-3}{-1} = 3

7 0
3 years ago
Read 2 more answers
For brainiest:):):):):):):):)
Oksi-84 [34.3K]

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made 9+6=15 shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

P(making a shot)=\frac{9}{15}=\frac{3}{5}=0.6

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

P(making a shot)+P(missing a shot) =1

P(missing a shot)=1-P(making a shot)

P(missing a shot)=1-0.6=0.4

QED

3 0
3 years ago
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