A scalene triangle will have side lengths of 12, 8, and 6.

False

True

The diagonal intersection and the midpoint of both diagonal lies on the same point.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

As per the given parallelogram,

The midpoint of diagonal through J(4,-2) and H(-2,2) will be as,

x = (4 - 2)/2 = 1

y = (-2 + 2)/2 = 0

So it will be (1,0)

The midpoint of diagonal through K(-2,-3) and I(4,3) will be as,

x = (-2 + 4)/2 = 1

y = (-3 + 3)/2 = 0

So it will also be (1,0).

Since both midpoints are the same thus it will be the intersection point.

Hence "The midpoint of both diagonals and the diagonal intersection is located at the same location".

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The correct representation of the expression in the given number line is 5/8-3/8

To add or subtract fractions they must have the same denominator (the bottom value). If the denominators are already the same then it is just a matter of either adding or subtracting the numerators (the top value). If the denominators are different then a common denominator needs to be found.

Given here, the required fraction is 2/8 and also we have 5/8-3/8=2/8

Hence, The correct representation of the expression in the given number line is 5/8-3/8

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Answer:

[tex]\huge\boxed{\sf Option \ 1}[/tex]

Step-by-step explanation:

Here, 6x + 6 is a linear expression since all the terms are raised to power 1 only.

[tex]\rule[225]{225}{2}[/tex]

A. The distribution of x is normal with mean 2 mm and standard deviation 0.008 mm.

B. The bounds are given as follows:

C. The probability that the sample mean is outside the interval 2 ± 3 x is given as follows: 0.003 = 0.3%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the population are given as follows:

[tex]\mu = 2, \sigma = 0.04[/tex]

Hence, for a sample of 25, the standard error is given as follows:

s = 0.04 / square root(25) = 0.008 mm.

The interval for item b is within three standard errors of the mean, hence:

The Empirical Rule states that 99.7% of the measures are within three standard errors of the mean, hence the probability that the sample mean is outside the interval 2 ± 3 x is given as follows: 0.003 = 0.3%.

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Answer:

its (-644) because 4 multiplication 23 and multiplication 7 is 644 and a minus will be written

Answer:644

Step-by-step explanation:

i got it right

The expressions that are equivalent to 0.3(9n + 22) are:

(a)

Apply the Distributive Property: 0.3 x 9n + 0.3 x 22

Multiply the monomials: 2.7n + 0.3  x 22

Calculate the product or quotient: 2.7n + 6.6

Determine whether 0.3(9n + 22) and -2.7n - 6.6 are equivalent.

FALSE.

b.

Apply the Distributive Property: 0.3 x 9n + 0.3 x 22

Multiply the monomials: 2.7n + 0.3  x 22

Calculate the product or quotient: 2.7n + 6.6

Determine whether 0.3(9n + 22) and 2.7n + 6.6 are equivalent.

TRUE

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It counts the amount of money coming in or going out over the specified time period.

The cash balance of liquid assets coming into and going out of a business is referred to as cash flow. Money spent and money received reflect inflows and outflows, respectively.

The cash flow is the difference between outflow and inflow.

Cash flow = outflow - inflow

If the value of the cash flow is negative that means the expense is more.

If the value of the cash flow is positive that means the income is more.

A reliable indicator of a company's strength, prosperity, and prospects for the future is the cash flow report. The cash flow statement is significant because it tracks any inflows or outflows of cash within the specified time period. The industry's both short- and long-term planning is influenced by this information.

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Step-by-step explanation:

a: true

b: true

c: false

d: true

The side length of rhombus ABCD by using the formula for the perimeter of a quadrilateral is 4.

A rhombus is a quadrilateral with four equal-length sides in plane Euclidean geometry. The term equilateral quadrilateral refers to the fact that all of its sides are the same length.

Since EFGH is a quadrilateral with an area 14 and a perimeter 16, the sides of EFGH must all be of equal length. Since EFGH is composed of the midpoints of the sides of ABCD, the side length of ABCD must be twice the side length of EFGH.

Using the formula for the perimeter of a quadrilateral, 16 = 4x, so 4 = x. This means that the side length of ABCD is 4.

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The number of ways that he can reach the bottom step in 5 jumps will be 792.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

Running down the stairway is someone. He could hop over some steps since he is in a hurry. When a staircase has 12 steps (including the top one, where he begins, and the last one, where he ends).

The number of ways will be given as,

¹²C₅ = (12!) / [(12 - 5)! x 5!]

¹²C₅ = (12 x 11 x 10 x 9 x 8 x 7!) / [7! x 5 x 4 x 3 x 2 x 1]

¹²C₅ = 11 x 9 x 8

¹²C₅ = 792

The number of ways that he can reach the bottom step in 5 jumps will be 792.

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Answer:

---------------------------------

Given ratios:

Simplify the second ratio by dividing both parts by 3:

The ratio becomes:

We get same ratios so they are equivalent.

Answer: 1728

Step-by-step explanation:

12^3 = 144 * 12 = 1728

Answer:

1728

Step-by-step explanation:

12*12*12=1728

Answer:

4

Step-by-step explanation:

4, count the spaces as in the figure

Answer:

  82 m²

Step-by-step explanation:

You want the area of the triangle with sides b = 13 m, c = 17 m, and the angle between them, A = 48°.

The relevant formula for the area is ...

  Area = 1/2(bc)sin(A)

  Area = 1/2(13 m)(17 m)sin(48°) ≈ 82.1175 m²

The area of the triangle is about 82 square meters.

Answer:

17 to 17 ft will be fit for 200 people for dancing.

The value of the function 3f(1)−4g(−2) is -19.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that f(x) =7x−4 and g(x) =11−x². The value of the expression 3f(1)−4g(−2) will be calculated as,

3f(1) = 3 x ( 7 - 4 ) = 9

4g(−2) = 4 x [ 11 - (-2)² ] = 4 x -7 = -28

Substitute the values and solve,

E = 3f(1)−4g(−2)

E = 9 - 28

E = -19

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The total number of candle that Maya sold to her neighbor is 60 candles

The number of candles Maya sold to her neighbor is solved using the concept of multiplication

Since there are 6 candles in each box and Maya sold 2 boxes each. the number of candle sold to each neighbor is solved by

= 6 candles * 2 neighbors

= 12 candles

Because Maya has 5 neighbors the total number of candle Maya sold is

= 5 neighbors * 12 candles

= 60 candles

we can therefore say that Maya sold a total of 60 candles to her neighbors

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The amount paid for the truck for 300 miles is $333

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

Amount paid per day = $33

Amount paid per mile = $1

Number of miles driven = 300

The amount paid for the truck is then calculated as

Amount paid for the truck = Amount paid per day + Amount paid per mile x Number of miles driven

Substitute the known values in the above equation, so, we have the following representation

Amount paid for the truck = 33 + 300 * 1

Evaluate the products

Amount paid for the truck = 33 + 300

Evaluate the sum

Amount paid for the truck = 333

Hence, the amount is $333

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These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.

The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.

The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.

The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

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The value of m is 32, the measure of the angle ∠ MLE is 16° and the measure of ∠ ELB is 74°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given:

The measure of ∠ MLE = 1 / 2 m, ∠ ELB = 2 (m + 5)

Calculate the value of m as shown below,

∠ MLE + ∠ ELB  = 90  (As given on figure)

1 / 2 m + 2 (m + 5) = 90

1 / 2 m + 2 m + 10 = 90

m + 4 m + 20 = 180

5 m = 180 - 20

m = 160 / 5

m = 32

Hence, ∠ MLE = 32 / 2 = 16°, and ∠ ELB = 2 (32 + 5) = 74°

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The complete question is attached below.

Answer:

Associative Property

(2•x)•5=2•(x•5)

this equation represents the Associative Property.

hope that helps...

Answer:cDADVFBDGFZDGSHHDBHDG

Step-by-step explanation:

The length of the arc of radius 65 feet is 170.2 feet. And the right option is C) 170.2 feet.

An arc of a circle is the smooth curve formed from the two-chord endpoints.

To calculate the length of the arc between two cars on the ferris wheel, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the length of the arc is 170.2 feet.

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The value of angle x in the straight line is 41 degrees.

The sum of angles on a straight line is 180 degrees. In other words, angles on a straight line add up to 180°. Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

Therefore, let's find the angles x.

Using sum of angles on a straight line,

x + 139 = 180

subtract 139 from both sides of the equation

x + 139 - 139 = 180 - 139

Hence,

x = 41 degrees

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The following graph will represents the possible number of orange fish, k, and blue fish, that they can put in the tank.

Here we have given that owners of an aquarium have recently built a new tank that can hold up to 110 fish.

And here we also know that owners wish to fill it with orange fish and blue fish. The orange fish are smaller, so they want at least 20 more orange fish than blue fish.

Let us consider that x refers the orange fish and y refers the blue fish.

Then the total number of fish in the tank is written as,

=> x + y = 110

Here we have the condition that at least 20 more orange fish than blue fish.

Then the inequality for the situation is written as.

=> x > 20

So, when we plot these on the graph then we get the graph like the following.

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Answer:

y=[tex]\frac{8}{7}[/tex]x+1.143

Step-by-step explanation:

Step 1: Plot points on graph

Step 2: Find slope (rise over run); slope=7/8

Step 3: Find y intercept

The inequalities that can be used to represent the situation are:

Inequalities are mathematical statements showing that two or more mathematical expressions are unequal.

With inequalities, two or more values are compared to show that they are not equivalent.

Inequalities can be represented as follows:

The cost of small candles per unit = $3.50

The cost of large candles per unit = $5.00

The number of small candles = x

The number of large candles = y

The number of candles Jimmy needs to buy ≥ 20

The total amount Jimmy can spend on the candles ≤ $80

3.50x + 5y ≤ $80

x + y ≥ 20

Thus, with these inequalities, the total cost of small and large candles must not exceed $80 and the number can be 20 or more.

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Show the two inequalities representing the situation.

The required percentage is 65% of the highest price city more expensive than the lowest price city for the cost of retail space.

The percentage is defined as a ratio expressed as a fraction of 100.

The highest price city for the cost of retail space is Berlin with an average cost per square foot of retail space of 469.

The lowest price city for the cost of retail space is Paris with an average cost per square foot of retail space of 284.

The difference is 469 - 284 = 185

Hence, the required percentage is :

⇒ 185/ 284 x 100%

⇒ 65%

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Answer:

12 feet

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  Pythagorean Theorem

[tex]x^{2}[/tex] + [tex]5^{2}[/tex] = [tex]13^{2}[/tex]

[tex]x^{2}[/tex] + 25 = 169  Subtract 25 from both sides

[tex]x^{2}[/tex] = 144

[tex]\sqrt{x^{2} }[/tex] = [tex]\sqrt{144}[/tex]

x = 12

The Pair 1 and Pair 3 polygons are congruent. Therefore, the correct option is D.

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

Pair 1:

Here, the shapes are same and have same length.

So, the polygons are congruent.

Pair 2:

Here, the shapes are same but they have different lengths

So, the polygons are not congruent.

Pair 3:

Here, the shapes are same and have same length.

So, the polygons are congruent.

Pair 4:

Here, the shapes are same but they have different lengths

So, the polygons are not congruent.

Therefore, option D is the correct answer.

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Ling is now 17 feet off the ground if she is climbing a rock wall.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

She begins by climbing 12 feet. Then she descends 3 feet to take a different path. She climbs another 8 feet from there.

Ling started 12 feet off the ground and climbed down 3 feet, so she is now 12 - 3 = 9 feet off the ground.

Then she climbed up another 8 feet, so she is now 9 + 8 = 17 feet off the ground.

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