Select the reason why these triangles are
similar. If they are not, select "Not similar."
8
12
5
6.25
10
A. AA
B. SAS
C. SSS
D. Not similar

Answer:

its 3.4 m

Step-by-step explanation:

i had the same test

Answer:

2.8

Step-by-step explanation:

r=(3V4π)⅓=

(3·91.94·π)⅓≈2.79947

I tried other answer, got it wrong, this one is right.

Hey there! :)

Answer:

C. BC = 39 units.

Step-by-step explanation:

Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.

c² = a² + b²

c² = 15² + 36²

Square and simplify:

c² = 225 + 1296

c² = 1521

c = √1521

c = 39 units.

Therefore:

BC = 39 units.

Answer:

C. 39

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length

15² + 36² = C²      Simplify

225 + 1296 = C²   Add

1521 = C²              Take the square root of both sides

39 = C

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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The maximum value of P is P=42 at (x,y)=(0,42).

Linear programming is a mathematical technique used to determine the best possible outcome from a given set of constraints. The method of corners is a technique used in linear programming to find the maximum or minimum value of a function by examining the corner points of the feasible region.

To solve the given linear programming problem using the method of corners, we first need to plot the two constraints on a graph. The feasible region is the shaded area bounded by the two lines x+y=42 and x+y=7. The next step is to identify the corner points of this feasible region.

The corner points of the feasible region can be found by solving the system of equations obtained by setting each of the two constraints equal to zero. Solving x+y=42 and x+y=7 simultaneously yields the corner points (0,42) and (7,0).

We can now evaluate the objective function P at each of the corner points to determine which point maximizes P. Substituting (0,42) and (7,0) into the objective function yields P=42 and P=7, respectively. Thus, the maximum value of P is 42, which occurs at the corner point (0,42).

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h= x(^2) +9

X. the "(^2)" is x to the 2nd power

Answer:

the midpoint of the bridge 2(0)+9

so y=9.  (0,9)

so the length is 30 feet

STEP - BY - STEP EXPLANATION

What to find?

The height of the flagpole.

Given:

• A point 120m from the foot of a building.

• Angles of elevation of the top and bottom of the flagpole = 49 degrees and 46 degrees respectively.

Let's first make a sketch.

Answer:

B. -5

Step-by-step explanation:

this is quite simple, so what you are going to want to do is multiply -3 by 4, and -16, so distribute that and you'll end up with

-12x+48= -12

then you want to subtract 48 from both side to leave the x on one side alone

that will be -12x= -60

after that you have to divide both sides by -12 to find your x

so then you will see that your x is = -5! hope this helps!!

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

{0.99, 5.01, 5.25, 6.79, 6.99, 7.50, 7.51}   second option

Step-by-step explanation:

You can see from the histogram that there is

- one value = 0.99  that is from 0 to  2 dollars and 50 cents

- no values between 2 dollars and 51 cents and 5 dollars

- 5 values between  5 dollars and 1 cent to 7 dollars and 50 cents

-1 value between  7 dollars and 51 cents to 10 dollars

All the four bars the value of dollar fall between the range of 0 dollar to the 10 dollar. This condition satisfy only by the option C.

Hence, The option C is the correct option which is,

{0.75, 2.50, 7.50,7.50,7.50,7.50,10.00}

Given-

Histogram titled number of Items Sold with Price Range on the x axis.

Histogram titled number of Items Sold on the y axis.

The range of bar 1 is 0 to 2 dollars and 50 cents and has a height of 1. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 1 is 1 to 2.5 dollar.

The range of Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 2 is 2.51 to 5 dollar.

The range of bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 5. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 3 is 0.01 to 7.5 dollar.

The range of bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 4 is 7.51 to 10 dollar.

In all the four bars the value of dollar fall between the range of 0 dollar to the 10 dollar. This condition satisfy only by the option C.

Hence, The option C is the correct option which is,

{0.75, 2.50, 7.50,7.50,7.50,7.50,10.00}

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The correct answer is not provided among the given choices.

The y-intercept of the function f(x) = 3x + 2 is (0, 2).

To find the y-intercept of the function f(x) = 3x + 2, we need to determine the value of y when x is equal to 0.

The y-intercept represents the point where the graph of the function intersects the y-axis.

Substituting x = 0 into the equation, we get:

f(0) = 3(0) + 2

f(0) = 0 + 2

f(0) = 2

So, when x = 0, the corresponding value of y is 2.

Therefore, the y-intercept of the function f(x) = 3x + 2 is (0, 2).

Among the given answer choices:

A. (9, 0) does not represent the y-intercept.

B. (0, 9) does not represent the y-intercept.

C. (0, -9) does not represent the y-intercept.

D. (9, -9) does not represent the y-intercept.

None of the given answer choices correctly represent the y-intercept of the function f(x) = 3x + 2, which is (0, 2).

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x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

The equation pf a line in point slope form is as follows:

y - 4 = 2(x - 3)

The equation of a line in point slope form can represented as follows:

The line passes through (3, 4)(6, 10).

Therefore, the point slope form is as follows:

y - y₁ = m(x - x₁)

where

Therefore,

m = 10 - 4 / 6 - 3

m = 6 / 3

m = 2

Hence, the equation pf a line in point slope form is as follows:

y - 4 = 2(x - 3)

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The three pairs are

All three pairs add to -6. This is something you'd do through trial-and-error.

To determine whether the numbers 20, 7, 40, 14 are in proportion or not, we need to find the ratio of each pair of numbers.

If all the ratios are equal, then the numbers are in proportion.

Ratio of 20 and 7 = 20/7

Ratio of 40 and 14 = 40/14

Now, we need to simplify the ratios to see if they are equal.

The ratio of 20 and 7 can be simplified as follows:

20/7 = 40/14

= (2 × 20)/(2 × 7)

= 40/14

We can see that the simplified ratios are equal.

Therefore, the numbers 20, 7, 40, 14 are in proportion.

To check whether the numbers 20, 7, 40, 14 are in proportion or not, we need to find the ratio of each pair of numbers.

The ratio of 20 and 7 and the ratio of 40 and 14 are equal and can be simplified to 40/14.

As all the ratios are equal, we can conclude that the given numbers are in proportion.

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Answer:

Step-by-step explanation:

The rule for the nth term of the geometric sequence is: \(an = 6 * 4^{(n-1)\)

The rule for the nth term of a geometric sequence can be found using the third and fifth terms of the sequence. In this case, the rule is a = 24 and r = 4.

To find the rule for the nth term of a geometric sequence, we use the formula:

an = a1 *\(r^{(n-1)\)

where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

Given that the third term is 96 and the fifth term is 1,536, we can write two equations:

a * r²  = 96

a *\(r^4\)= 1536

Dividing the second equation by the first equation, we get:

r² = 16

Taking the square root of both sides, we get:

r = 4 (since r cannot be negative in a geometric sequence)

Substituting r = 4 into either of the two equations, we get:

a * 16 = 96

a = 6

Therefore, the rule for the nth term of the geometric sequence is:

\(an = 6 * 4^{(n-1)\)

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Answer:First, we need to find which number when substituted into the equation will give the answer zero. Therefore is a factor. Factorise the quadratic until the expression is factorised fully. Therefore the roots occur when = -3, -2 and 1.

Step-by-step explanation:

Answer:

by reducing it into a quadratic equation and then solving

Step-by-step explanation:

Paul Volcker responded to the high inflation of the 1980s by implementing a monetary policy known as tight money policy or monetarism.

Paul Volcker, who served as the Chairman of the Federal Reserve from 1979 to 1987, responded to the high inflation of the 1980s by implementing a monetary policy called tight money policy or monetarism. He raised interest rates to record highs in order to combat inflation and stabilize the economy. This policy was initially met with resistance and criticism, as it resulted in high borrowing costs and slowed economic growth.

However, Volcker remained committed to his goal of reducing inflation and ultimately succeeded in bringing it down from over 13% in 1979 to around 4% by 1986. His actions helped to restore confidence in the U.S. economy and set the stage for a period of sustained growth and stability in the years that followed.

Overall, Volcker's response to the high inflation of the 1980s was characterized by his willingness to take bold action and prioritize long-term economic stability over short-term concerns.

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Answer:

1

Step-by-step explanation:

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

23 liters per minute

Step-by-step explanation:

92 ÷ 4

= 23 liters per minute

Answer:

9.44444

Step-by-step explanation:

Answer:

A. The value of x should be 75, because the angles shown in the diagrams are congruent.

Step-by-step explanation:

I did the test

Step-by-step explanation:

Set the parameters,

Let the width be 'X' inhes

Therefore,

Length = "5X" inches

According to the given condition,

Perimeter = sum of the sides = 2(l+b) = 40 inches,

Equation = 2(5X+X) = 40

2(6X) = 40

12X= 40

X= 3.33

Therefore,

Width = X = 3.33 inches