Determine if the triangles below are congruent. If so, what properties are used in your logic?

Answer:

18a +9

Step-by-step explanation:

Brainliest?!?!!?

Step-by-step explanation:

If you want to expand it then,

9(2a+1)

= 18a + 9 (Ans)

Answer:

80.3

Step-by-step explanation:

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Answer:13 miles

Step-by-step explanation:10.20-1.75=8.45÷0.65=13

As a result, there must be an x value such that the inequality is no longer true, and the parabola and the circle must intersect as a result.

The circle is centered at the origin on a coordinate grid, and the vertex of an upward-opening parabola is located at (0, 9). If the circle has a radius less than 9, the parabola and the circle must intersect.Let's suppose that the upward-opening parabola is y = ax² + 9. Since its vertex is (0, 9), this implies that a > 0, and therefore the parabola opens upwards. Since the circle is centered at the origin and has a radius less than 9, its equation is x² + y² < 81.We can substitute y with ax² + 9 in the inequality x² + y² < 81 and obtain:x² + (ax² + 9)² < 81This simplifies to:(a² + 1) x^4 + 18a² x² + 64 < 0Since the left-hand side of the inequality must be less than zero, it must be negative. Since x² is always non-negative, it follows that a² + 1 > 0. Thus, (a² + 1) x^4 + 18a² x² + 64 < 0 cannot be true for all x

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Answer:

GC = 8

Step-by-step explanation:

on each median , the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GC = 2 × GF = 2 × 4 = 8

Answer:

Below.

Step-by-step explanation:

IQR is the same

Number of data points is the same.

Mode - can't tell

Range - different

First quartile - same

Median - different.

Explanation: The distributive property tells us when there's a number outside a set of parenthses, you can multiply it times each of the terms that are inside the set of parenthses and then add those products together.

So in this problem, we can multiply 5(4) + 5(8)

which simplifies to 20 + 40 which equals 60.

Answer:

5(4) + 5(8)

Step-by-step explanation:

Just trust me :D

Answer:

The correct answer is I am 95% sure that this interval includes the population mean arm length.

Note: Kindly find an attached image or copy of the complete question to this solution below:

Sources: The complete question was researched from Quizlet and Course hero sites.

Step-by-step explanation:

Solution

From the given question, i will say that I am 95 % confident interval that this interval include the population mean arm length is correct because using sample mean and confidence level we can obtain an interval which gives us the certain level of confidence that population mean is within this interval and here we are 95% confident that population mean is within this interval.

Answer: $97.75

Step-by-step explanation:

Ali's dad paid for 7 players, so the cost for just the entrance fee was $10.50 x 7 = $73.50. He paid a total of $76.75, so the scorecard fee must have been $76.75 - $73.50 = $3.25.

If he pays for 9 players, the cost of the entrance fee will be $10.50 x 9 = $94.50. Adding the scorecard fee of $3.25, the total cost will be $94.50 + $3.25 = $97.75.

Therefore, he will need to pay $97.75 if he ends up paying for 9 players. The answer is option D.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

x-25

Step-by-step explanation:

the number is x and the subtraction is the difference

Given P = 2l + 2w

subtracting 2w from both sides

P - 2w = 2l

Dividing both sides by 2;

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

The correct answer of the question is "0.7062" and "0.835". The further solution is provided below.

Given:

Probability of student smoke,

P = 27.7%

  = 0.277

Number of students (n) = 632

\(q = 1-p\)

  \(=1-0.277\)

  \(=0.723\)

(i)

Here,

Number of students (n) = 60

then,

⇒ \(n_P=60\times 0.277\)

         \(=16.62\)

⇒ \(n_q=60\times 0.723\)

        \(=43.38\)

We can see that \(n_P > 10\) and \(n_q>10\) so the normal approximation condition are met.

Now,

\(\mu = n_P= 16.62\)

\(\sigma = \sqrt{n_{Pq}}\)

  \(= \sqrt{60\times 0.277\times 0.723}\)

  \(=3.9664\)

Now,

⇒ \(P(X<19) = P(X<18.5)\)

                      \(=P(Z_{18.5})\)

The Z-score is:

= \(\frac{18.5-16.62}{3.4664}\)

= \(0.5423\)

hence,

The probability will be:

⇒ \(P(Z_{18.5}) = 0.7062\)

or,

⇒ \(P(Z<19) = 0.7062\)

(ii)

Here,

Number of students (n) = 75

\(\mu = n_P = 75\times 0.277\)

            \(=20.775\)

\(\sigma = \sqrt{n_{Pq}}\)

   \(=\sqrt{75\times 0.277\times 0.723}\)

   \(=3.8756\)

Now,

⇒ \(P(X>17) = P(X> 17.5)\)

                      \(=1-P(X \leq 17.5)\)

                      \(=1-P(Z_{17.5})\)

The Z-score is:

= \(\frac{17.5-20.775}{3.8756}\)

= \(-0.9740\)

then, \(P(Z_{17.5}) = 0.165\)

hence,

The probability will be:

⇒ \(P(X>17) = 1-0.165\)

                      \(=0.835\)    

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The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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Answer:

2/3

Step-by-step explanation:

k = y/x

k = 2/3

Answer:

• Option 2: 5+d<8

• Option 5: v-18<-15

Explanation:

The given graph represents the inequality, x<3 (where x can be any variable).

Therefore, any inequality that has this solution is valid.

• Option 1 has the ,greater than or equal to, sign, thus, it is not a possible result.

• Option 3 has the ,less than or equal to, sign, thus, it is not a possible result.

We check the solution to the rest of the given inequality:

Observe that Options 2 and 5 give solutions of the form x<3. Therefore, the correct answers are:

• Option 2: 5+d<8

• Option 5: v-18<-15

Answer:

log (150)=2.176091259

Answer:

log104=2.107

log150=2.176

log1025=3.011

log10570=4.024

log7=0.845

Step-by-step explanation:

To solve these questions, you can just plug them into your calculator:

log104=2.107033339≈2.107

log150=2.176091259≈2.176

log1025=3.010723865≈3.011

log10570=4.024074987≈4.024

log7=0.84509804≈0.845

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Answer:

I need some more context

Step-by-step explanation:

the solutions to the equation have value of a=-4, b=1 and c=38.

In mathematics, factorization is the process of finding the factors of a given mathematical object, such as a number, polynomial, or matrix. Factors are objects that can be multiplied together to obtain the original object.

To solve the equation x² + 8x = 38 for x, we can use the following steps:

Move the constant term to the other side of the equation:

x² + 8x - 38 = 0

x=(-b±√b²-4ac)/2a

x=(-8±√64-4×1×(-38))/2×1

x=-4+√38

or x=-4-√38

On comparing with x= a+ b √c

x= a- b √c

value of a=-4

b=1

c=38

Therefore,  value of a=-4, b=1 and c=38.

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Answer:

f means you have a function rule. f(4) is the y-value corresponding to x = 4. ------ Example: If f(x) = 2x + 3.

Step-by-step explanation:

Answer:

1. y = 3 1/3

2. y = 6

3. y = 12

Step-by-step explanation:

A = xy => xy = 14 => y = 14/x

1. x = 4 1/5 = 21/5

y = 14/x = 14/(21/5) = (5 x 14)/21 = 10/3 = 3 1/3

2. x = 2 1/3 = 7/3

y = 14/x = 14/(7/3) = (3 x 14)/7 = 6

3. x = 7/6

y = 14/x = 14/(7/6) = (6 x 14)/7 = 12

Answer:

hypotenuse= 26

Step-by-step explanation:

c= a^2 + b^2

10^2 + 24^2= 26

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

Area of rectangle is L*W*H

therefore, (5 cm x 12 cm x 5 cm) + (3 cm x 10 cm x 12 cm) is the answer.

Step-by-step explanation:

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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9514 1404 393

Answer:

  D

Step-by-step explanation:

The inequality symbol is < (not ≤), which means the end point of the graph will be an open circle.

After dividing by the coefficient of x, you have an inequality of the form ...

  x +( ) < ( )

which means the solution will be left of the (open circle) end point of the graph. Only one graph has that form.

__

If you actually work through the numbers, you get ...

  x +8 < 9 . . . . . . divide both sides by 2.9

  x < 1 . . . . . . . . . subtract 8 from both sides