10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A

9514 1404 393

Answer:

  (b)  x = 3, y = 2

Step-by-step explanation:

In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:

  3y = x+3

and the corresponding legs must be congruent:

  y +1 = x

__

We can solve this set of equations by substituting for x:

  3y = (y +1) +3

  2y = 4 . . . . . . . .subtract y

  y = 2 . . . . . . . . .divide by 2

  2+1 = x = 3 . . . substitute for y in the equation for x

The solution is (x, y) = (3, 2).

Answer:

Step-by-step explanation:

As per the graph we have:

Approximate perimeter of MNP is:

Option D is the only one greater than 22

Answer:

200 people

Step-by-step explanation:

I did the math on my calculator

Answer

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Step by Step Explanation

Given

See attachment for table

Required

Determine the sinusoidal function

The sinusoidal function is represented as:

[tex]y = A \sin(Bx + C) + D[/tex]

Where

[tex]|A| = Amplitude[/tex]

And it is calculated as:

[tex]A = \frac{1}{2}[Highest - Least][/tex]

From the table:

Highest = 77 and Least = 21

So:

[tex]A = \frac{1}{2}[77 - 21][/tex]

[tex]A = \frac{1}{2}[56][/tex]

[tex]A = 28[/tex]

B is calculated as:

[tex]Period = \frac{2\pi}{B}[/tex]

The period is 12 i.e. 12 months

So:

[tex]\frac{2\pi}{B} = 12[/tex]

[tex]B = \frac{2\pi}{12}[/tex]

[tex]B = \frac{\pi}{6}[/tex]

C is calculated as:

[tex]\frac{C}{B} = -4[/tex]

[tex]C = -4 * B[/tex]

[tex]C = -4 * \frac{\pi}{6}[/tex]

[tex]C = -2 * \frac{\pi}{3}[/tex]

[tex]C = -\frac{2\pi}{3}[/tex]

Lastly, D is calculated as:

[tex]D = Least + A[/tex]

So:

[tex]D =21 + 28[/tex]

[tex]D=49[/tex]

So, the function is:

[tex]y = A \sin(Bx + C) + D[/tex]

[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]

Answer:

y=28 sin (pi/6 t - 7pi/6)+49

Step-by-step explanation:

Answer:

y-intercept: (0,-4)

x-intercept: (-9,0)

Step-by-step explanation:

To find the y and x intercepts, simply plug in 0 for x or y in the equation.

y-intercept:

[tex]-\frac{4}{3} x - 3y = 12[/tex]

[tex]-\frac{4}{3} (0) - 3y = 12[/tex]

[tex]0 - 3y = 12[/tex]

[tex]-3y = 12[/tex]

[tex]y = -4[/tex]

(0,-4)

x-intercept

[tex]-\frac{4}{3} x - 3y = 12[/tex]

[tex]-\frac{4}{3} x - 3(0) = 12[/tex]

[tex]-\frac{4}{3} x - 0 = 12[/tex]

[tex]-\frac{4}{3} x = 12[/tex]

[tex]-4x = 36[/tex]

[tex]x = -9[/tex]

(-9,0)

Answer:

1/3 divided by 3/4 = 0.44

Step-by-step explanation:

1/3 (0.33) divide by 3/4 (0.75) = 0.44

Answer:

Step-by-step explanation:

Its a geometric sequence: aₙ = a₁ rⁿ⁻¹

f(x) = aₙ

a₁ = a₂÷r = 12÷2 = 6

r = 2

x = n

Therefore:

               [tex]f(x) = 6(2)^{x-1}[/tex]

The statement that best describes the association of these variables is larger groups tend to take less time to solve the puzzle.

A graph can be described as a pictorial representation of data.  A graph has a x axis and a y-axis. The x-axis in this graph is the number of people in the groups and the y-axis is the time it takes to solve the puzzle.

The graph slopes downwards. This indicates that as the number of people in the groups increase, the time it takes to solve the puzzle decreases.

To learn more about graphs, please check: https://brainly.com/question/21527145

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Answer:

Nonlinear association

Step-by-step explanation:

Please like if this helps :)

Answer:

The answer is 57.2

This is correct

The sum of the fraction 5 1/6+2/3 is 5.83.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size.

5 1/6 + 2/3 = 5.83

An element of a whole is a fraction. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A fraction appears in the numerator or denominator of a complex fraction.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its types based on these two terms. The terminology used to calculate fractions the parts of a whole object.

To learn more about fraction refer to:

https://brainly.com/question/17220365

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Step-by-step explanation:

Total number of people = 48 + 32 + 16

= 96

P(2 or more items) =

[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]

Answer:

The radius of the sphere is 36 centimeters.

Step-by-step explanation:

Given that the volume of a sphere is 62,208π cubic centimeters, to find the radius the following calculation must be performed, knowing that the formula to obtain the volume of a sphere is V = 4/3 π x radius³:

62,208 x 3.14 = 4/3 x 3.14 x X³

195,333.12 = 4/3 x 3.14 x X³

195,333.12 = 4.18666 x X³

195,333.12 / 4.18666 = X³

46.656 = X³

³√ 46,656 = X

36 = X

Therefore, the radius of the sphere is 36 centimeters.

0.0004732

12/ 25358

answer depends if you want to round it

Answer:

Dependant

Step-by-step explanation:

Its dependant because when you take out one chocolate another may fall and take its place.

Answer:

2,6323

Step-by-step explanation:

Answer:

Temperature => 10F

Step-by-step explanation:

Mark brainliest if this helped!

Mark brainliest if this helped!

Answer:

6/10  

9/15  

12/20

Step-by-step explanation:

Answer: 6/10, 3/5

Hope it helps!

Answer:

16

Step-by-step explanation:

1/2 ^(-1)=2

8×2=16

Hope that helped.

Answer:

La mediana es el valor medio cuando un conjunto de datos se ordena de menor a mayor. La moda es el número que se presenta con más frecuencia en un conjunto de datos.

Step-by-step explanati_:espero

ayudar:)

Answer:

6x^2*(x+4)

Step-by-step explanation:

hope this helps! :)

Answer:

B is the best choice

Step-by-step explanation:

A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.

With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.

Answer:

B 100% I just took the test

Answer:

(x - 8)^2 + (y + 6)^2 = 4.

Step-by-step explanation:

The general equation is:

(x - a)^2 + (y - b)^2 = r^2.

Plugging in the given values:

(x - 8)^2 + (y - (-6))^2 = 2^2

(x - 8)^2 + (y + 6)^2 = 4.

Answer:

28.15 cm²

Step-by-step explanation:

In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter

For the above question, we are given 2 sides and an angle.

The formula to find the area of ΔNOP

1/2 × a × b × sin θ

From the above question:

θ = 61°

a = 7.4 cm

b = 8.7 cm

Hence,

1/2 × 7.4 × 8.7 × sin 61

= 28.154008373 cm²

Approximately to the nearest tenth = 28.15 cm²

Answer:

B

Step-by-step explanation:

4x12=48/2x2=B or 48

Answer:

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this is the answer.

Answer:

20+20+24+24=88

88/2=44

88+44=132

Step-by-step explanation:

If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.

Answer:

a^7 b^3

Step-by-step explanation:

The question can be interpreted as

[(a^9)( b ^10)] / [(a^2 )×( b ^7)]

Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have

a^(9-2) × b^(10-7)

We can simplify by performing substraction on the power

= a^7 b^3

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!

Answer:

Subtract [tex]8 - 5[/tex]

Step-by-step explanation:

Given

[tex]4 . \frac{53 + 1}{(8 - 5)^3}[/tex]

Required

The first step to evaluate the expression

The first step is to evaluate the expression in brackets.

From the question: The expression in bracket is: [tex]8 - 5[/tex]

So, the first step is to subtract [tex]8 - 5[/tex]