the positive integer divisors of 175, except 1, are arranged around a circle so that every pair of adjacent integers has a common factor greater than 1. what is the sum of the two integers adjacent to 7?

Answer:

B. $4

Step-by-step explanation:

The table shows the cost for different numbers of baseballs. Number of Baseballs Cost 3 $12 6 $24 9 $36 12 $48 Question What is the cost per baseball?

A. $3

B. $4

C. $7

D. $9

E. $12

12/3 = 4

24/6 = 4

36/9 = 4

48/12 = 4

Answer: B $4

Step-by-step explanation:

The table shows the cost for different numbers of baseballs. Number of Baseballs Cost 3 $12 6 $24 9 $36 12 $48 Question What is the cost per baseball?

A. $3

B. $4

C. $7

D. $9

E. $12

[tex]\frac{12}{3} = 4\\\\\frac{24}{6} = 4\\ \\\frac{36}{9} =4\\\\\frac{48}{12} = 4[/tex]

Hence, the right answer is B, $4

If ABCD is a parallelogram, then the measure of D is 68

        9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

        25x + 5 = 180

        25x = 180 - 5

        25x = 175

            x = 7

          <ADC+ <DAB= 180

          <ADC+ 112 = 180

          < ADC= 180 - 112

          < ADC = 68

Therefore, the measure of D is 68

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This mean there are infinite solutions.

Each side is equally satisfied in an endless solution. Infinite is a symbol for boundlessness or limitlessness. Typically, the sign "" is used to denote it.

Solving an equation, Henry gets to the last line of his work and is left with “3 = 3”.

Any value for the Variable would make the equation true, according to infinite solutions.

We can tell which instance it is by examining our findings. If both sides of the equal sign end up having the same word,

such as

3=3 or 3x=3x, then. Finite solutions exist.

This mean there are infinite solutions.

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The only two options with equations that are true for x = –2 and x = 2 are;

Option A: x² - 4 = 0

Option D: 4x² = 16

The domain of a function is the set of all input values  for which the function is possible.

Now, we are given the domain values as  x = –2 and x = 2.

a) x² - 4

f(-2) = (-2)² - 4

= 0

f(2) = (2)² - 2

= 0

b) x² = -4

f(-2) = (-2)²

= 4

f(2) = (2)²

= 4

c) 3x² + 12

f(-2) = 3(-2)²  + 12

= 24

f(-2) = 3(2)²  + 12

= 24

d) 4x²

f(-2) = 4(-2)²

= 16

f(2) = 4(2)²

= 16

e) 2(x - 2)²

f(-2) = 2(-2 - 2)²

= 32

f(2) = 2(2 - 2)²

= 0

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The proof for the Base Angles Theorem is explained below:

A triangle's opposite angles are congruent if its two sides are congruent. We shall build the angle bisector through the vertex angle of an isosceles triangle in order to demonstrate the Base Angles Theorem. We created two congruent triangles by building the angle bisector, and then we utilized CPCTC to prove that the base angles are congruent. Base angles: The angles that include the base of an isosceles triangle are known as the "base angles."

Any triangle with at least two congruent sides is said to be isosceles. Legs are the isosceles triangle's congruent sides. The base is the other side. Base angles are the angles formed between the base and the legs.

Given: [tex]\bar{ LM}[/tex]≅ [tex]\bar{LN}[/tex]

Prove: ∠M≅∠N

According to the figure,

Given,

[tex]\bar{ LM}[/tex]≅ [tex]\bar{LN}[/tex]

By the definition of mid-point,

O is the mid-point of [tex]\bar{MN}[/tex]

Now, by joining the two points determine and draw a line of [tex]\bar{LO}[/tex]

Now, Again by the definition of mid-point

[tex]\bar{MO}[/tex]≅[tex]\bar{NO}[/tex]

Now, by using reflexive property,

[tex]\bar{LO}[/tex]≅ [tex]\bar{LO}[/tex]

By SSS rule,

ΔLMO≅ΔLNO

By CPCTC rule,

∠M≅∠N

Hence proved.

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The probability of reaching into the box and randomly drawing a chip number that is greater than 3150 is 0.3675

In this question we have been given there are 498 identical plastic chips numbered 1 through 498 in a box.

We need to find the probability of reaching into the box and randomly drawing a chip number that is greater than 315

Total number of chips = 498

so, n(S) = 498

Let event A: drawing a chip number that is greater than 315

The number of chips greater than 315:

498 - 315 = 183

So, n(A) = 183

The probability of reaching into the box and randomly drawing a chip number that is greater than 315 using the formula of probability,

p(A) = n(A)/n(S)

p(A) = 183/498

p(A) = 0.3675

Therefore, the required probability is 0.3675

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Answer:

garden=400/2

=200

4× side = perimeter=200

So,  =200/4

=50 m.

Step-by-step explanation:

Answer:

Length of garden is 50 m.

Step-by-step explanation:

Fence required for 1 time,

→ 400 ÷ 2

→ 200 m

Perimeter of square formula is,

→ P = 4 × L

Now length of the garden will be,

→ P = 4 × L

→ 200 = 4L

→ 4L = 200

→ L = 200/4

→ [ L = 50 m ]

Hence, length of garden is 50 m.

The inequality that can be used to represent this situation is 2x + 1.50y ≤ 20.

The maximum number of apples she can buy is 7 apples.

Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each.

where

Therefore, let's represent the inequality when Mia has to spend 20 dollars.

2x + 1.50y ≤ 20

If Mia decide to buy 3 mangoes , the maximum number of apples she can buy can be calculated as follows:

2x + 1.50y ≤ 20

2x + 1.50(3) ≤ 20

2x + 4.5 ≤ 20

2x ≤ 20 - 4.5

2x ≤ 15.5

x ≤ 15.5 / 2

x ≤ 7.75

Therefore, the maximum she can buy is 7 apples.

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Sum of the square of a and square of b should be equal to the  square of c of pythagoras theorem is incorrect.

What is Pythagoras' theorem?
Pythagoras' theorem states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse (longest side). Mathematically, it can be expressed as a2 + b2 = c2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.

hypotenuse²=opposite side²+Adjacent side²

Substitute the variables

So, c² = a² + b²  

So, option c, which is the sum of the square of a and square of b should be equal to the  square of c is correct.

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The orientation of ABCD is clockwise, as is the orientation of A'B'C'D'. This means the transformation involves a even number of reflections (may be 0).

Does the order of transformations matter in functions?

Order is not important. According to algebra, y=12f (x3). Our four transformations are (1), (3), (2), and (4); all four are in the x direction. When we combine a stretch and a translation in the same direction, the sequence counts.

The orientation of AB is North, and the orientation of A'B' is West, so a rotation of 90° CCW (or equivalent) is involved. We can find the point of intersection of the perpendicular bisectors of AA' and BB' (at (-1, -1)) to determine a suitable center of rotation.

ABCD can be transformed to A'B'C'D' by ...

rotation 90° CCW about the point (-1, -1)

Rotation by 90° can also be accomplished by reflection across a diagonal line. Since we want the orientation to remain unchanged, we need another reflection to put the figure into its final position. A suitable alternate sequence for mapping ABCD to A'B'C'D' is ...

reflection across the line y=x

reflection across the line x=-1

Complete question: A.) Describe a transformation sequence that will transform quadrilateral ABCD into quadrilateral A’B’C’D’.

b.) There is more than one way to transform quadrilateral ABCD into quadrilateral A’B’C’D’. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.

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The time it will take the car and truck to meet is 5hours

Velocity is the rate of change of displacement with time. It is a vector quantity and it is measured in meter per seconds but it can also be measured in other units like kilometers per hour and miles per hour.

Velocity = displacement/time

the velocity of the truck is 145/2.5 = 58miles per hour

the car is 1.5 times faster than the truck

this means the velocity of the car is 58× 1.5= 87miles per hour

displacement = velocity×time

total displacement = 145miles

displacement of car = 87t

displacement of truck = 58t

using addition of vectors

145=87t-58t

145= 29t

t = 145/29

t= 5hours

therefore at 5hours the car and the truck will meet

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Answer:

p = q - 2p - 4

Step-by-step explanation:

q - 2p = p + 4 ( isolate p on the right by subtracting 4 from both sides )

q - 2p - 4 = p

Answer: The answer is $s$ > 7, which represents the number of seconds that can pass for the temperature in the cryotherapy chamber to drop below -20°F.

Step-by-step explanation: The temperature in the chamber will drop below -20°F when it reaches -20°F + 2.5°F = -17.5°F.

The temperature in the chamber is currently 0°F, so we can represent this situation with the inequality 0 - (2.5 * $s$) < -17.5, where $s$ is the number of seconds that can pass.

We can simplify this inequality by multiplying both sides by -1 to get the following: 2.5 * $s$ > 17.5.

Dividing both sides by 2.5, we get the final inequality: $s$ > 7.

Therefore, the number of seconds $s$ that can pass for the temperature in the cryotherapy chamber to drop below -20°F is greater than 7 seconds.

Answer:

-3/2

Step-by-step explanation:

[tex]-3x-2y=5 \\ \\ 3x+2y=-5 \\ \\ 2y=-3x-5 \\ \\ y=-\frac{3}{2}x-\frac{5}{2}[/tex]

Answer:

see below

Step-by-step explanation:

A prime number is a whole number that cannot be exactly divided by another number other than itself and 1.

The two largest one digit prime numbers are 7 and 5. The product of them is 7×5=35.

The two largest two digit prime numbers are: 89 and 97.

89×97=8633

The triangle with sides a and b and angle c is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Triangles with the following properties

Side lengths = a and b

Angle between the side lengths = C

The above parameters mean that

Also, the other angles and sides can be derived from the above parameters

So, we have

Next, we construct the triangle

See attachment for the triangle

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i) The random variable is the number of suspicious transmissions reviewed until finding the first blocked one and the random variable is distributed usinng geometric distribution

ii) The expected value of the random variable: 2.5 which means the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.

In this question we have been given a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history.

Based on past history, the specialist blocks 40 percent of the suspicious transactions.

so, p = 0.40

i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one.

We will use a geometric distribution to model the first transmission.

ii. We know that according to the geometric model the expected value of the random variable would be.

E(X) = 1/p ,

       = 1/0.4

       = 2.5

This means, the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.

Therefore,  i) the random variable: the number of suspicious transmissions reviewed until finding the first blocked one.

ii) the expected value of the random variable: 2.5

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The complete question is:

At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the transaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious transactions. Assume a suspicious transaction is independent of other suspicious transactions.

Suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked.

(i) Define the random variable of interest and state how the variable is distributed.

(ii) Determine the expected value of the random variable and interpret the expected value in context.

Answer:

170 is the smallest

745 is the largest

Step-by-step explanation:

It is what it is

The solution of the equation is x = 6±2√11.

What is a quadratic equation?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

Here, we have

Given: x² - 12x = 8

Now, we factorize the given equation and find the solution.

x² - 12x = 8

x² - 12x - 8 = 0

We apply here the quadratic formula.

= (-b ±√b²-4ac)/2

= (12 ±√12²-4×1×(-8))/2

= (12±√144+32)/2

= (12±√176)/2

= (12±4√11)/2

= 6±2√11

Hence, the solution of the equation x² - 12x = 8 is 6±2√11.

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Answer: To find the length of the wire from the tower to its anchor in the ground, you can use the formula for the length of a side in a 30-60-90 triangle. Since the angle between the wire and the tower is 15°, the angle between the wire and the ground is 75° (90° - 15°). This means that the wire and the tower form a 30-60-90 triangle.

In a 30-60-90 triangle, the side opposite the 30° angle is half as long as the hypotenuse, and the side opposite the 60° angle is half as long as the side opposite the 90° angle. Since the wire is the hypotenuse of the triangle, and the wire is opposite the 60° angle, the length of the wire from the tower to its anchor in the ground is half as long as the hypotenuse.

Therefore, the length of the wire from the tower to its anchor in the ground is 500/2 = 250 meters.

The fractions 1/12 and 1/4 are equivalent to 2/6.

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Two fractions are equivalent to 2/6.

There can be many fractions which are equal to 2/6.

Let one fraction is 1/12,

And other fraction is x,

So, according to given condition,

x + 1/12 = 2/6

x = 2/6 - 1/12

x = 3/12

x = 1/4

The required fractions are 1/12 and 1/4.

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We have to find the values of x and y. We know that one pair of opposite angles of a kite are equal. We know that the sum of all the angles of a quadrilateral is equal to 360 degrees. Therefore, the values of x and y are 80° and 110°.

A kite is a quadrilateral with two pairs of adjacent sides, congruent. A kite also has perpendicular diagonals, where one bisects the other. You can use either of these things to determine if a quadrilateral is a kite.

What is a kite in geometry terms?

The most general definition that is typically used: A kite is a quadrilateral in which one of its diagonals is its axis of symmetry. This definition is equivalent to the following one: A kite is quadrilateral that has two pairs of equal adjacent sides.

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Answer:

Step-by-step explanation:

okay so what I would do is multiply the denominator of 3 from 2/3 by 4 to get 12. So what you do to the bottom you have to do to the top so that fraction 2/3 will turn to 8/12.

Then I would multiply the denominator of 4 from 1/4 by 3 to get also get 12. And again what you do to the bottom you have to do to the top. So that fraction will be 3/12.

Ten you add them 8/12 + 3/12 = 11/12

Answer = 11/12

Answer: x = 3 and y = 4

Step-by-step explanation:

Step: Solve x + y= 7 for x:

x + y = 7

x + y + −y= 7+−y

x = −y + 7

Step: Substitute −y + 7forxinx+2y=11:

x + 2y = 11

−y + 7 + 2y = 11

y + 7 = 11

y + 7 + −7 = 11 + −7

y=4

Step: Substitute 4 for y in x = −y + 7:

x = −y + 7

x = −4 + 7

x = 3

Answer:

x = 3 and y = 4

Hope I did it right

One of the alternatives isc=d because when a line meets two parallel lines, matching angles are created and the identical corners are congruent.

Coplanar, straight lines that don't intersect anywhere are considered parallel lines in geometry. Planes in the same three-dimensional space that never cross each other are said to be parallel. Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. Lines in a plane that consistently have the same separation are said to be parallel. Nothing can cross a parallel line. Lines that cross at a straight angle of 90 degrees are called perpendicular lines.

A = d is also a solution due to vertical angles. Finally, b+d=180 since b+c=180 and c=d, and b+d=180 as a result. The solution is therefore B,C,E, where a=d, c=d, and b+d=180.

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Answer:

yx6-5= greater than or equal to 8

Step-by-step explanation:

math brain