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This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.

Regarding the given diagram, the following claims are always true:

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.

m∠2 + m∠3 + m∠5 = 180°

This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

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Answer:

c.92,598

Step-by-step explanation:

20000 + 20000/1.04 + 20000/(1.04^2) + 20000/(1.04^3) + 20000/(1.04^4)

= 20000 + 19230.77 + 18491.12 + 17779.73 + 17096.08

= 92597.7

= 92,598

The required triangle WYV and XYU are congruent triangles with the SAS postulate.

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
Consider triangle WYV and XYU

XY = WY                   [Given ]

VY = UY                   [Given ]
∠WYV = ∠UYX         [Alternate interior angles for two intersecting lines are always equal]

ΔWYV ≅ ΔXYU by SAS congruency postulate.

As triangles, WYV and XYU are congruent triangles then,
VW = UX     [sides of a congruent triangle are always equal]

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Answer:

I believe it is 200. Forgive me if its wrong-

The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis

What is Co-ordinate Geometry?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Solution:

Please refer to the graph attached

The Option B - The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis is correct

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Hey There!! ⚘~

The answer to this is: add 1/2x to both sides.

multiply both sides by 6/7

Hope It Helped!~

〰️~ItsNobody~〰️

Answer:

Combine Like Terms

Step-by-step explanation:

Answer:

The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one

location.

The statistical significance does not necessarily imply practical significance. In this case, while the IQ score of 160 is statistically significant, it may not necessarily be practically

To assess whether any of the IQ scores are statistically significantly high or low, we need to calculate the z-score for each score. The formula for calculating the z-score is:

z = (x - μ) / σ

Where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.

First, we need to calculate the mean and standard deviation of the IQ scores:

Mean = (100 + 90 + 110 + 160 + 90 + 85 + 65 + 100 + 95 + 98) / 10 = 99.3

Standard deviation = √[((100-99.3)² + (90-99.3)² + (110-99.3)² + (160-99.3)² + (90-99.3)² + (85-99.3)² + (65-99.3)² + (100-99.3)² + (95-99.3)² + (98-99.3)²) / 10] = 39.77

Now we can calculate the z-score for each IQ score:

z1 = (100 - 99.3) / 39.77 = 0.018

z2 = (90 - 99.3) / 39.77 = -0.233

z3 = (110 - 99.3) / 39.77 = 0.27

z4 = (160 - 99.3) / 39.77 = 1.53

z5 = (90 - 99.3) / 39.77 = -0.23

z6 = (85 - 99.3) / 39.77 = -0.36

z7 = (65 - 99.3) / 39.77 = -0.86

z8 = (100 - 99.3) / 39.77 = 0.017

z9 = (95 - 99.3) / 39.77 = -0.108

z10 = (98 - 99.3) / 39.77 = 0.032

Using the z-table, we can find the percent of scores below each z-score:

z1 =  0.018 or 70.01%

z2 = -0.233 or 34.67%

z3 = 0.27 or 75.01%

z4 = 1.53 or 83.68%

z5 = -0.23 or 34.67%

z6 = -0.36 or 37.47%

z7 = -0.86 or 45.16%

z8 =  0.017 or 70.01%

z9 = -0.108 or 31.80%

z10 =  0.032 or 69.15%

To determine whether each z-score is statistically significant, we need to compare it to a predetermined level of significance, typically α = 0.05. If the probability associated with the z-score (i.e., the percent of scores below it) is less than or equal to α, we consider the score statistically significant.

Based on this criterion, the only score that is statistically significant is the IQ score of 160 (z-score = 2.29, percent of scores below = 83.68%). All other scores have a probability greater than α, and therefore are not statistically significant.

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Answer:

A) More option and lower prices

Step-by-step explanation:

ON ENG 2021

The major advantage of participating in global trade is the fact that global trade offers the consumer more options and lower prices.

The term global trade is the kind of trade that involves people from different countries of the world who trade on goods and services.

The major advantage of participating in global trade is the fact that global trade offers the consumer more options and lower prices.

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The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

Angle L,

a^2+b^2=DE^2

De^2=c^2 and CE=c

angle L=F

ΔDEF and ΔJKL are congruent to each other.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

DF = JL = a, FE = LK = b,

And ΔDEF is a right triangle.

ΔDEF and ΔJKL are congruent to each other.

Since the Pythagoras theorem is applicable in ΔDEF.

a² + b² = c²

This equation also satisfies the ΔJKL Hence angle K is the right-angle.

Since, ∠F = ∠L = 90°,

          DF = JL = a,

          FE = LK = b

Therefore, ΔDEF ≅ ΔJKL

Thus, ΔDEF and ΔJKL are congruent to each other.

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The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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The expression for the sequence of operations is  3s - u - t .

In the question ,

it is given that ,

the sequence of operation is given as " triple s, subtract u from the result, then subtract t from what you have" .

we have to write an expression for the above operation ,

So ,

first step is : triple s ,

that means the expression is  3s .

next subtract u from the result , that means ⇒ 3s - u .

next we have to subtract t from what we have ,

that means ⇒ 3s - u - t .

Therefore , the final expression is 3s - u - t .

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Answer: Add 4x to both sides.

Step-by-step explanation:

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

875 ft²

Step-by-step explanation:

The rectangles are similar.

The scale factor is 5 since 25/5 = 5.

The scale factor of the areas is the square of the scale factor of the sides.

area of EFGH = 5² × 35 ft² = 875 ft²

Answer

B. 27

firist divide 9÷2=4.5

the formula

=1/2×4.5×6

=13.5

cause there are 2 triangles. let's multiply 13.5 with 2

13.5×2= 27²

Answer:

The check digits

a) x₁₂ ≡ 5( mod 10 )

b) x₁₂ ≡ 2( mod 10 )

c)  x₁₂ ≡ 0( mod 10 )

d)  x₁₂ ≡ 3( mod 10 )

Step-by-step explanation:

Given the data in the question;

We know that the formula for determining the UPCs check is;

3x₁ + x₂ + 3x₃ + x₄ + 3x₅ + x₆ + 3x₇ + x₈ + 3x₉ + x₁₀ + 3x₁₁ + x₁₂ ≡ 0( mod 10 )

now we will substitute the given values to determine the value of the last bit

a)

73232184434

we substitute into the formula

3×7 + 3 + 3×2 + 3 + 3×2 + 1 + 3×8 + 4 + 3×4 + 3 + 3×4 + x₁₂ ≡ 0( mod 10 )

                                                                                          x₁₂ ≡ 5( mod 10 )

b)

63623991346

we substitute into the formula

3×6 + 3 + 3×6 + 2 + 3×3 + 9 + 3×9 + 1 + 3×3 + 4 + 3×6 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂ ≡ 2( mod 10 )

c)

04587320720

we substitute into the formula

3×0 + 4 + 3×5 + 8 + 3×7 + 3 + 3×2 + 0 + 3×7 + 2 + 3×0 + x₁₂ ≡ 0( mod 10 )

                                                                                           x₁₂  ≡ 0( mod 10 )

d)

93764323341

we substitute into the formula

3×9 + 3 + 3×7 + 6 + 3×4 + 3 + 3×2 + 3 + 3×3 + 4 + 3×1 + x₁₂ ≡ 0( mod 10 )

                                                                                         x₁₂ ≡ 3( mod 10 )

The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.

Given:

- Each correct question is worth 10 points.

- Every student receives an additional 555 bonus points.

Let's calculate the mean and standard deviation of YY:

Mean of YY:

The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:

μY = μX * 10 + 555

Substituting the value of μX from the given information:

μY = 1.95 * 10 + 555

μY = 19.5 + 555

μY = 574.5

Therefore, the mean score of a random student (YY) is 574.5.

Standard Deviation of YY:

The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:

σY = σX * 10

Substituting the value of σX from the given information:

σY = 0.8 * 10

σY = 8

Therefore, the standard deviation of the random student's score (YY) is 8.

Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

that a randomly chosen student answered correctly. Here is the probability distribution of X along with

summary statistics:

0

1

2

2.

3

X = # correct

P(X)

0.05

0.20

0.50

0.25

Mean: Hex = 1.95

Standard deviation: Ox 0.8

Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give

every student 5 additional bonus points. Let Y represent a random student's score.

What are the mean and standard deviation of Y?

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Answer:

After 5 hours the amount of cells is 35

Step-by-step explanation:

i just graphed it and the point in which they intersect s the x and y values. Hope this helped Happy Holidays

Answer:

35

Step-by-step explanation:

I already commented this

Let's assume that you have a triangle of sides A, B and C. We know that B and C are less than A, we can replace the values in the pythagorean theorem so that after calculating the sum of B^2 and C^2 it should not be equal to A^2.

Example of a right triangle

Let's assume that B is equal to 3 , C is equal to 4 and A is equal to 5. After Adding 3^2 to 4^2 we see that the result is 25, which is equal to A^2. Then, this triangle is a right triangle.

Example of a non-right triangle

Let's assume that B is equal to 2 , C is equal to 3 and A is equal to 4. Adding 2^2 to 2^2 we see that the result is 13, which is different from A^2 (4^2=16). Then, this triangle is a non-right triangle.

Answer:

36pi

Step-by-step explanation:

volume = (4/3) · π · r3

in this case r = 3

4/3 x pi x r^3

3 cubed = 27

27 x pi x 4/3

27 x 4/3 = 36

36\(\pi\) is the answer

Answer:

A=5h(B+b)

A/5h=B+b

A/5h - b= B

The example of negative exponent in the real world is the world's smallest bat, the bumblebee bat weighs of 7 × 10^-2 ounces

An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite.

The multiplicative inverse of the base raised to a power with the opposite sign of the provided power is referred to as a negative exponent. In plain English, we write the number's reciprocal and solve it just like positive exponents. The bat has a negative exponent.

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The balance after 2 years with daily compounding interest is $551.38.

To calculate the balance after 2 years with each day compounding interest, we will use the formulation:

\(A = P(1 + r/n)^{(nt)\)

Where:

In this example, we have:

Substituting those values into the method, we get:

Consequently, the balance after 2 years with daily compounding bis $551.38.

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Answer:

Easy! Abu solved 100 multiplication problems more than division problems

Step-by-step explanation: Just take 231 - 131 = 100 :D

Answer:

-(276÷0.12)=-2300

Step-by-step explanation: