Assume that BC is tangent to circle A. Find the value of x. Round your answer to the nearest tenth

Answer: D, 25

Step-by-step explanation:

A parallelogram is 360 degrees, and every angle appears twice, so we can set up an equation to solve for the missing variable.

\(360 = 2(65) + 2(5y)\)

Multiplying each angle by two shows that each angle appears twice in the shape, and once we multiply the values, we can simplify the equation to:

\(360-130=10y\)

360 - 130 is 230, so divide both sides by 10 and you get 23 as the answer.

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are anxious to get their results

Answer:

x=y-4

Step-by-step explanation:

may it helpful to you

A particular solution to the given differential equation is y = -3.

To find a particular solution to the given differential equation, we can assume a constant value for y. Let's assume y = a, where 'a' is a constant.

Substituting this assumption into the differential equation, we get:

y′′ + 3y = -9

Taking the first and second derivatives of y with respect to x:

y' = 0 (since y is a constant, its derivative is 0)

y'' = 0 (since y' is 0, its derivative is also 0)

Substituting these values back into the differential equation:

0 + 3a = -9

Simplifying the equation:

3a = -9

a = -3

Therefore, a particular solution to the given differential equation is y = -3.

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Answer:

1. 70

2. 110

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x + ( 14x - 5 ) + ( 17 - 3x )

= 17x + 12

- ( 2 - x ) -3 ( 6 + 8x ) -12,

= -23x - 32

( 4x - 9 ) + 8 ( 2x + 3 ) -7x

= 13x +15

The derivatives for x, y, and dy/dx are dx/dt = 15t² + 3, dy/dt = 4 - 12t, and dy/dx = (4 - 12t) / (15t² + 3), respectively.

To find dx/dt, we need to take the derivative of x with respect to t:

dx/dt = d/dt (5t³ + 3t) = 15t² + 3

To find dy/dt, we need to take the derivative of y with respect to t:

dy/dt = d/dt (4t - 6t²) = 4 - 12t

To find dy/dx, we need to take the derivative of y with respect to x:

dy/dx = (dy/dt) / (dx/dt)

Substituting the expressions we found above, we get:

dy/dx = (4 - 12t) / (15t² + 3)

Note that dy/dx is a function of t, so its value depends on the value of t at a particular point.

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Answer:

x = 152 degrees.

Step-by-step explanation:

The way the 2 angles are positioned indicates that they are corresponding angles.

Corresponding angles are equal.

x = 152 degrees.

Make you know what corresponding angles are and when they can be used. Make sure you also know what parallel lines are (2 or more lines whose distance is a constant). Make sure you also know what a transversal is (a line that crosses the parallel lines).

Answer:

Step-by-step explanation:

take 56 degree as reference angle

using sin rule

sin 56=opposite/hypotenuse

0.82=AB/15

15*0.82=AB

12.3=AB

To make sure the accessory is proportional from Dan to Marcellus, we need to maintain the same ratio of height between the two figures.

Since Marcellus is two times as tall as Dan, we can use the ratio stated above to determine the appropriate size of the accessory.

For example, let's say we want to give Dan and Marcellus a hat. We would need to make sure that the size of the hat for Marcellus is twice the size of the hat for Dan, to maintain the same ratio of height between the two figures.

To know that it is proportional, we can use a ruler or measuring tape to measure the height of Dan and Marcellus in the image, and then measure the size of the accessory for each figure.

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The approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

To find the number of cell sites in the years 1998, 2008, and 2015 using the given model equation:

y = 336.01/(1 + 29.39e^(-0.256))

We substitute the respective years into the equation and calculate the value of y.

For the year 1998:

Substituting t = 1998 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*1998))

For the year 2008:

Substituting t = 2008 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2008))

For the year 2015:

Substituting t = 2015 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2015))

To find the actual numerical values, we need to evaluate these expressions using a calculator or a computer program that can handle exponentiation and arithmetic calculations.

Please note that it is important to follow the correct order of operations when evaluating the exponent term, particularly the negative sign and the multiplication. The exponent term should be calculated first, and then the result should be multiplied by -0.256.

By substituting the respective years into the equation and evaluating the expression, you will obtain the approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

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Answer:

3.14

Step-by-step explanation:

area=pi times the square of radius

1^2 = 1 x 3.14=3.14

Mr Morake's Municipal bill showed R201,27 for water Usage at the end of August 2018 and he stated that the basic charge was not included on the water bill, then he is incorrect.

Mr Morake's municipal bill showed R201,27 for water usage at the end of August 2018. He stated that the basic charge was not included on the water bill. Verify if this statement is correct.

A basic charge is a fixed fee that appears on a water bill regardless of the volume of water used. It covers the cost of the water distribution system, maintenance of the infrastructure, and customer support. It's not linked to your actual water usage and is included in every monthly bill, according to most municipal billing systems.

What is a basic charge?

A basic charge is a fixed fee that is charged for water usage. The fee is fixed and does not change from month to month. It is a fee that is typically charged by municipalities. It is used to help cover the costs of maintaining the water infrastructure.

The basic charge includes the following costs:

Water infrastructure management Pumping stations Reservoirs Pipeline maintenance meter maintenance Customer service This charge ensures that the water system is maintained and that customers receive excellent service, even if their water usage is low.

So, if Mr Morake's municipal bill showed R201,27 for water usage at the end of August 2018 and he stated that the basic charge was not included on the water bill, then he is incorrect. As previously stated, the basic charge is included on every monthly bill, according to most municipal billing systems.

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Answer:

1,270

Step-by-step explanation:

you are going to multiply all the numbers by the answers example: 2 ×2=4 ×5 =20×8=160×7 = 1,270

From Bayes' Theorem, an events related to involved in a hit and run accident at night. The required probability that the blue cab involved in accident rather than green as well as witness also identified it as blue cab is equals to the 0.41 or 41% .

Bayes' Theorem states that the conditional probability of an event, is based on the occurrence of another event, is equal to the likelihood of the second event the first event multiplied by the probability of the first event. According to scenario, it is found that a cab was involved in a hit and run accident at night. Number of cab companies operates in city = 2 ( blue and green)

Probability that green cab involved in accident, P(G) = 85% = 0.85

Probability that blue cab involved in accident, P( B) = 15% = 0.15

Now, the cab which is identified by witness was a blue cab and after identification court also tested the witness's credibility. Here, probability that witness is correct to identification a blue cab = P(W/B) = 0.80

Probability that witness is wrong to identify the blue cab = P(W/G)

= 0.20

Using the Baye's theorem, Probability that accident was caused by blue cab provided witness identifies is, \(P( B/W) = \frac{ P(B ∩W )}{ P( W)} = \frac{ P( B) P( W/B)}{ P( W)} \\ \)

Total Probability, P(W) = P(B)P(W/B) + P(G)P(W/G)

= 0.15 × 0.8 + 0.85 × 0.2 = 1.2 + 1.7 = 2.9

P(B/W) = (0.15 × 0.8)/2.9

= 1.2/2.9 = 0.41 = 41%

Hence, required probability value is 41%.

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The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Answer:

what

Step-by-step explanation:

The Rational Roots Theorem identifies possible rational roots of a polynomial equation in terms of factors of its coefficients.

The Rational Roots Hypothesis, otherwise called the Judicious Zeros Hypothesis, is a numerical hypothesis that assists with recognizing conceivable objective foundations of a polynomial condition. In particular, that's what it expresses on the off chance that a polynomial condition with number coefficients has a sane root, that root should be of the structure p/q, where p is a variable of the consistent term and q is an element of the main coefficient.

For instance, in the event that a polynomial condition has the structure ax^3 + bx^2 + cx + d = 0, and the main coefficient an and the consistent term d are numbers, then, at that point, the conceivable sane foundations of the situation are the quantities of the structure p/q, where p is a component of d and q is a variable of a.

The Normal Roots Hypothesis is valuable in tackling polynomial conditions and deciding if they have reasonable roots.

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Answer:

2a2b-6ab2+9ab+5 is right answer

Answer:

a sin(bθ−c)+d

→ Using this, find the amplitude based off of the given formula. Use the expression as a reference to help you identify a.

a = 3

b = 4

c = 0(no defined value)

d = 0(impossible to identify)

→ Find a.

→ Since a is already given, we know that a = 3, therefore, the amplitude is 3

For the given quadratic equation y = x² + 16x + 24 the axis of symmetry x = -8, and the vertex is (-8, -40) and the y-intercept is 24. So, the correct option is D.

Given quadratic equation y = x² + 16x + 24

From the above equation a = 1; b = 16; c = 24. [co-efficients]

The formula for axis of symmetry x = -b/2a = -16/2(1) = -16/2 = -8.

The formula for vertex is ((-b/2a), f(-b/2a)) = (-8, ((-8)² + 16(-8) + 24))

                                                                     = (-8, (64-128+24))

                                                                     = (-8, -40)

The formula for y-intercept = f(0) = (0)² + 16(0) + 24 = 24

From the above analysis,

So the option D is the correct answer.

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Answer:

74 cars

Step-by-step explanation:

14(2) + 4x = 324

28 + 4x = 324

4x = 296

x = 74

Answer:

I do believe The Answer Is 0.625

Answer:

5/8 or 0.625

Step-by-step explanation:

Hope this helps!

Answer:

he increased by 24

Step-by-step explanation:

144-120

Answer: 8

Step-by-step explanation:

Answer:

-20/27

Step-by-step explanation:

-4/3 ÷ 9/5

= -4/3 * 5/9

= -20/27

Hope it helps :)

Answer:

-4/3÷9/5= -0.74074074074

Answer:

The correct option is OPTION C.

Step-by-step explanation:

Recall that for a rhombus, the diagonals bisect the interior angles.

This means that if we are given that:

m∠DAB=160°

Then:

m∠EAB=m∠DAB/2=160/2=80°

Also, recall that the diagonals of a rhombus are perpendicular. Therefore:

m∠AEB=90°

Hence, we can have a triangle that looks like the one shown below:

Recall that the sum of angles in a triangle is 180°. Therefore, we have that:

m∠AEB+m∠ABE+m∠EAB=180°

Hence, we can calculate m∠ABE to be:

m∠ABE =180-80-90

m∠ABE=10°

The correct option is OPTION C.

Referring to the truth table, -P is false, and the only case with -P false is when both T and S are false.

This means that 5657 is not a triangular or square number.

(a) To create a truth table for the statement "If a number is triangular or square (T ∨ S), then it is not prime (-P)," we will have columns for T, S, T ∨ S, and -P.

Then we will consider all possible combinations of T and S (true and false) and fill out the remaining columns.
| T   | S   | T ∨ S | -P  |
|-----|-----|-------|-----|
| T   | T   | T     | T   |
| T   | F   | T     | T   |
| F   | T   | T     | T   |
| F   | F   | F     | F   |

(b) If the statement were false, a counterexample would need to have T ∨ S true, but -P false.

In other words, a number that is either triangular or square, and also prime. However, no such counterexample exists in the table, indicating that the statement is true.
(c) Since the statement is true, knowing that 5657 is prime (P) allows us to conclude that it is neither triangular (T) nor square (S).

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Answer:

Step-by-step explanation:

a). Let the number of spoons = x

And number of forks = y

Total number of spoons and forks bought by Perry = 10

x + y = 10 --------(1)

Cost of one spoon = $5

Cost of one fork = $3

Therefore, total cost of x spoons and y forks = $(5x + 3y)

5x + 3y = 42 -------(2)

b). Now we can convert these equations into the slope-intercept form.

x + y = 10 ⇒ y = -x + 10

Table for input output values,

x        2         4          6          

y        8         6          4                

5x + 3y = 42

3y = -5x + 42

y = \(-\frac{5}{3}x+14\)

x        0           3          6        

y       14           9          4                  

Point of intersection of these lines will be (6, 4).