Do dilations increase the measure of angles?

Based on the triangle inequality theorem, the list that could not be the measures of lengths of the three sides of a give triangle is: D. 12 yd, 35 yd, 20 yd.

The triangle inequality theorem expresses the relationship between the three lengths of sides that can form a triangle. If the sides are are a, b, and c, it states that:

a + b > c

a + c > b

c + b > a.

Considering this set of three sides, 5cm, 12 cm, 15 cm, we have:

5 + 12 > 15

17 > 15 [true]

5 + 15 > 12

20 > 12 [true]

12 + 15 > 5

27 > 5 [true]

Therefore, the measures of lengths 5cm, 12 cm, 15 cm, will form a triangle.

Same applies to 2 ft, 6 ft, 5 ft and 11 mi, 4 mi, 12 mi, except 12 yd, 35 yd, 20 yd.

This is because, 12 + 20 > 35 is not true.

Therefore, the answer is: D. 12 yd, 35 yd, 20 yd

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Complete Question:

Which list could not be the measures of lengths of the three sides of a given triangle?

A. 5cm, 12 cm, 15 cm

В. 2 ft, 6 ft, 5 ft

C. 11 mi, 4 mi, 12 mi

D. 12 yd, 35 yd, 20 yd

the solution for the given expression 11.5x + 10.9y  is 145.3

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

11.5x + 10.9y

Here x = 6 and y = 7

11.5*6 + 10.9*7 = 145.3

Hence, the solution the given expression is 145.3

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Answer:

-16

Step-by-step explanation:

what grade are you in bro?

Answer:she willl have 20

Step-by-step explanation:

because  each is aa key word for  multiply

Answer: 6 ft 4 inches

Step-by-step explanation:

answer

20hours 4 min 55sec

Answer: Ragu ran 3/5 or 60% of the race in 24 minutes. [EXTRA: He runs 20% of the race every 8 minutes, which means that it would take him 40 minutes to complete the entire race (this answer is extra if you need it)]

Step-by-step explanation: none, basic mathematics

Answer: 0.04

Step-by-step explanation:

Divided by 1000 mean we will move the decimal to the left 3 times

So 40 divided by 1000= 0.04

Answer:

0.04

Step-by-step explanation:

Answer:

y=-0.8x

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)

=(4-(-4))/(-5-5)

=8/-10=   -0.8

y=-0.8x+b

4=-0.8(-5)+b

4=4+b

b=0

y=-0.8x

Answer:

100

Step-by-step explanation:

70 % is .7 in decimal

   .7 * x = 70    divide both sides by .7

     x = 100

Step-by-step explanation:

you mean

70% of x = 70

right ?

you know that the "whole" is represented by 100% ?

this is easy here, but in general, when in doubt, find either 100%, calculate 1% as 100%/100 and find the desired %, or you find 1% directly and calculate the needed % (incl. 100%) out of this.

so, we know, 70% = 70

that means

1% = 70%/70 = 70/70 = 1

and then

100% = 1%×100 = 1×100 = 100

so,

70% of 100 = 70

now you see, why I said this is easy in this case here. because % and the absolute numbers have the same units. so, this goes 1:1.

she will score 100 % between 158 and 242.

What is a standard deviation?

The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Here, we have

Given: When Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14.

we have to find the percentage of the games that Julia bowls she scores between 158 and 242.

Mean = 200

she scores between 158 and 242

(158 - 200)/14  = - 3

(242 - 200)/14  =   3

Hence her score lies within - 3SD to + 3SD

As per the empirical rule  

100 % of data lies within - 3SD to + 3SD

Hence, she will score 100 % between 158 and 242.

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Answer: true

Step-by-step explanation:

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. The slope of (-1/4, 2/5) is 5/4.

Given two points (x1, y1) and (x2, y2), the slope can be calculated using the formula:

Slope = (y2 - y1) / (x2 - x1)

Therefore, the slope of (-1/4, 2/5) is:

Slope = (2/5 - (-1/4)) / (-1/4 - (-1/4))

Slope = (2/5 + 1/4) / 0

Slope = (3/4) / 0

Slope = 5/4

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Answer:

x > 2

Step-by-step explanation:

-4 > 10-7x

-4 - 10 > -7x

-14 > -7x

Inequality reverses when dividing or multiplying a negative number.

-14/-7 < x

2 < x

x > 2

There is no such thing like Sound argument that is not valid.

What is an argument that is valid?

Any argument whose conclusion is not supported by its premises is invalid (i.e., faulty). That is, the conclusion could still be wrong even though all the premises are true.

Because validity of the argument is a requirement for soundness

An argument is valid and contains all true premises if it is sound. The argument is sound, so if all of the premises are true, the conclusion must also be true. It follows that the conclusion of a sound argument must be true since all of its premises are true.

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Answer:

237.5 in.² or the first option

Step-by-step explanation:

Base 1:  5 · 6.5 = 32.5

Base 2: 5 · 7.5 = 37.5

Base 3: 7.5 · 6.5 = 48.75

Multiply by 2 because 2 of each base.

2(32.5 + 37.5 + 48.75)

2(118.75)

237.5 in.²

Answer: 15,000

Step-by-step explanation:

Answer:

X: -1 -3 -5

Y: 1 3 5

Step-by-step explanation:

Divide y by x for all the points. If the quotients are different, it is not proportional. If the quotients are equal, it is a proportional relationship.

A.

3/(-3) = -1

2/(-4) = -1/2

Not Proportional

B.

1/(-1) = -1

3/(-3) = -1

5/(-5) = -1

Proportional

C.

-5/(-2) = 5/2

-7/(-4) = 7/4

Not proportional

D.

0/(-2) = 0

-1/(-3) = 1/3

Not Proportional

The polynomial function in which p has four zeros at -4,-1,0, and 9 are:

--x(x + 4)(x + 1)(x-9) , -3x(x+4)(2x + 2)(x-9) and  -3x(x + 4)(x + 1)(x − 9)²

Here given polynomial function,

a. 3x(x-4)(x - 1)(x + 9)

if x = 0

then the function becomes 0

but -4 , -9 , -1 does not satisfy.

Therefore the function does not have four zeroes

b. --x(x + 4)(x + 1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x + 1 ) = 0 when x = -1

(x - 9) = 0 when x = 9

Therefore the function has four zeroes.

c. -3x(x+4)(2x + 2)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(2x + 2 ) = 0 when x = -1

(x - 9) = 0 when x = 9

d. 3x(x+4)(x-1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9) = 0 when x = 9

Here x = -1 does not satisfy, So the function does not have four zeroes.

e. -3x(x + 4)(x + 1)(x − 9)²

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9)² = 0 when x = 9

Therefore the function has four zeroes.

Therefore the polynomial functions with four zeros at -4,-1,0, and 9 are as follows: —x(x + 4)(x + 1)(x-9), -3x(x+4)(2x + 2)(x-9) and

-3x(x + 4)(x + 1)(x-9) ²

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The tip of her shadow moving when she is 35 feet from the base of the pole is 8.77 feet.

Let H = the height of the pole.

h = the height of the woman.

x = the length of the woman's shadow.

s = the distance from the pole to the woman.

By similar triangles,  H/h = (s + x)/x  or  Hx = h(s + x).

Differentiating, H dx/dt = h(ds/dt + dx/dt)

⇒ 17 dx/dt = 6(6 + dx/dt)

                  = 36 + 6 dx/dt

                  = 13 dx/dt

                  = 36

⇒ dx/dt = 36/13 ft/sec = 2.77 ft/sec for how fast her shadow is lengthening.

The speed of the tip of her shadow would be this speed added to her traveling speed: 2.77 + 6 = 8.77 ft/sec.

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The option that has the statement that best describes the the meaning of the y-intercept of the regression line is the option;

When the attendance is 0, the predicted number of wins is 15.2

A regression is a representation of a linear relationship between an input and an output variable. It is a model of the relationship between the variables presented in a linear form.

The regression equation is; [tex]\hat {y}[/tex] = 4.9·x + 15.2

Where:

x = The game attendance (in thousands)

[tex]\hat{y}[/tex] = The predicted number of times the team wins

The y-intercept represents the point at which the graph of the regression line equation intersects or touches the y-axis, which is the point where the x-value is 0, therefore, at the y-intercept, we get;

x = 0, [tex]\hat{y}[/tex]  = 4.9 × 0 + 15.2 = 15.2

At the y-intercept, [tex]\hat {y}[/tex] (the predicted number of wins) = 15.2

The description of the y-intercept is therefore, that when there is 0 attendance, the predicted number of wins of a base ball team is 15.2

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Answer:

Teo is 7 and Richard is 18

Step-by-step explanation:

pls give me brainlist :)

Answer:

10. Given a, b E Z, if a²(b² - 2b) is odd, then both a and b must be odd numbers. This is because the only way for the product of two numbers to be odd is if both of the numbers are odd. In other words, if a and b are both even, then a²(b² - 2b) would be an even number, and if one of a and b is odd and the other is even, then a²(b² - 2b) would be an even number. So the only way for a²(b² - 2b) to be odd is if both a and b are odd.

11. Given m, n E Z, if 25 + mn is divisible by 5, then either m or n must be divisible by 5. This is because if both m and n are not divisible by 5, then the product mn will not be divisible by 5, and 25 + mn would not be divisible by 5. However, if either m or n is divisible by 5, then the product mn will be divisible by 5, and 25 + mn would be divisible by 5. So if 25 + mn is divisible by 5, then either m or n must be divisible by 5.

12. If m, n E Z and m + n is even, then m² + n² is also even. This is because the sum of two even numbers is always even, and the square of an even number is always even. So if m + n is even, then both m and n must be even, and m² and n² would both be even. Therefore, the sum m² + n² is also even.

13. An integer n is even if and only if n² + 2n + 9 is odd. This is because the square of an even number is always even, and the sum of two even numbers is always even. So if n is even, then n² and 2n are both even, and the sum n² + 2n + 9 would be odd. On the other hand, if n² + 2n + 9 is odd, then the sum of the first two terms, n² + 2n, must be even. Since the square of an even number is always even, this means that n must be even. So n is even if and only if n² + 2n + 9 is odd.

14. If a is an odd integer, then a² + 3a + 5 is also odd. This is because the product of two odd numbers is always odd, and the sum of two odd numbers is always even. So if a is odd, then a² and 3a are both odd, and the sum a² + 3a + 5 would be even. Since the sum of two odd numbers is always even, this means that a² + 3a + 5 is odd. Therefore, if a is an odd integer, then a² + 3a + 5 is also odd.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 minus -3 is 5

If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle. Remember that you create a contrapositive by inverting and swapping both terms.

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

If a triangle lacks one angle greater than 90°, it is not an obtuse triangle. Remember that a contrapositive is formed by inverting and swapping both terms. If you have if A then B, then the contrapositive is if not B then not-A. Because you've been given "If a triangle is obtuse, then

It has one angle with a measure greater than 90°," the converse would be "If a triangle has no angles with a measure greater than 90°, it is not an obtuse triangle." So, check through the options and see what fits in intent, even if it's not phrased precisely the same. 

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The proportion of the students for the given condition is 0.0228 and the 71 percentile of the normal distribution of the test score is equal to 23.106.

As given in the question,

Mean of the normal distribution 'μ' = 22 points

Standard deviation of the normal distribution 'σ' = 2 points

Z score is calculated using :

z = (x - μ)/σ

Here, x represents the raw score

a. Condition: Students score at least 26 points

x > 26

⇒ (x - μ) / σ > ( 26 - 22 ) / 2

⇒ (x - μ) / σ > 4 /2

⇒ (x - μ) / σ > 2

⇒ z > 2

Proportion of the students scored z > 2

P(z > 2) = 1 - P(z < 2)

             = 1 -  0.9772

             = 0.0228

b. 71 percentile has a z score of 0.553

0.553 = (x - 22)/2

⇒x - 22 = 1.106

⇒ x = 23.106

Therefore, the proportion of the students scored at least 26 points are 0.0228 and 71 percentile of the normal distribution of the test score is equal to 23.106.

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The area of the parallelogram that has a base of 98 in. and a height of 5.6 in. is calculated as: 54.88 in.².

The area of a parallelogram is calculated as the product of its base length and its height. That is:

Area of parallelogram = base × height.

From the image given, we have the given dimensions of the parallelogram that we can use to find its area:

Base = 9.8 in.

Height = 5.6 in

Plug in the values:

Area of parallelogram = 9.8 × 5.6

Area of parallelogram = 54.88 in.²

Therefore, the exact answer is, 54.88 in.².

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Answer:

y-5 = -2/3 (x+6)

Step-by-step explanation:

-2y = -3x -8

2y = 3x + 8

2/2 y = 3/2 x + 8/2

y = 3/2 x + 4

slope of a perpendicular line

- 2/3

y-5= -2/3(x-(-6)

y-5 = -2/3 (x+6)

The coach can select the players in 1081575 ways .

A combination is a technique for finding the number of possible arrangements in a set of items where the order of the selection is irrelevant. .

The formula for determining the number of possible arrangements by selecting only a few objects from a set with no repetition is expressed mathematically as follows:

[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]

Where:n denotes the total number of elements in a set,

k denotes the number of selected objects

! - the factorial

Factorial (noted as "!") is the sum of all positive integers that are less than or equal to the number preceding the factorial sign.

For instance, [tex]3! = 1 * 2 * 3 = 6[/tex].

Given,

Total number of players,n = 25

Number of selected players,r = 8

Number of ways that players are selected is determined by,

[tex]25C_8=\frac{25!}{8!(25-8)!}\\\\=\frac{15511210043330985984000000}{(40320)*(355687428096000)}\\\\=1081575[/tex]

Thus, by combination, the selection can be done in 1081575 ways.

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Your question is incomplete  , here is the complete question.

There are 25 players in a basketball team. The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel?

The scale factor used in making the giant duck that duck measures 26 by 20 by 32 meters is 225

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

For the duck the measures 26 by 20 by 32 meters represent the factored image, the original image is 3.5 inches for the lowest

comparing the lowest for both the original size and the giant duck

converting 3.5 inches to meters 0.0889 meters

let the scale factor be k

solving for the factor

0.0889 * k = 20

k = 20 / 0.0889

k = 224.97

k = 225

This factor for the giant duck is 225

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