An angle is a figure formed by two rays with a common initial point called a ____ of the angle.
A point lies in the _____ of an angle if it lies between the rays that form the angle.

A point lies in the exterior of an angle if it lies ______ the rays that form the angle.

How many ways can an angle be named?
A. One way
B.Two ways
C. Three ways
D. Four ways
E. Five ways
What must ALWAYS be in the middle when naming an angle by three points?
A. A point on the angle
B. A ray
C. Vertex
D. Order does not matter.
An angle with a measurement between 90 degrees and 180 degrees is called an ____.
A. Acute Angle
B. Right Angle
C. Obtuse Angle
D. Straight Angle
An angle with a measurement less than 90 degrees is called an ____.
A. Acute Angle
B. Right Angle
C. Obtuse Angle
D. Straight Angle
An angle with a measurement equal to 90 degrees is called a ____.
A. Acute Angle
B. Right Angle
C. Obtuse Angle
D. Straight Angle
The Angle Addition Postulate can be thought of as the sum of the smaller angles equals the larger angle.
A.True
B.False
Congruent angles have different arc markings.
A.True
B.False
Adjacent angles overlap.
A.True
B.False
Adjacent angles share a vertex and a ____ .
A.ray
B.line
C.point
D.segment
Adjacent angles are always congruent.
A.True
B. False
Complementary angles have a sum of ____.
A.45 degrees
B.90 degrees
C.180 degrees
D.360 degrees
Supplementary angles have a sum of ____.
A. 45 degrees
B.90 degrees
C.180 degrees
D.360 degrees
Linear pairs are ____.
A.right
B.complementary
C.supplementary
D.wrong
Vertical angles are non-adjacent angles.
A.True
B.False
Vertical angles are not congruent.
A. True
B.False
Angle bisectors form ____angles.
A. similar
B. different
C. bigger
D. congruent

Aida's score of 30,025 points is less than Dave's score of 30,205 points.

We know that inequalities are used to compare values and represent a wide range of relationships between numbers. We will use the concept of inequality to solve this problem

To compare Aida's number of points to Dave's number of points, we can use the symbol ">" (greater than), "<" (less than), or "=" (equal to).

Based on the given information:

Aida's score: 30,025 points

Dave's score: 30,205 points

To compare their scores, we can write the number sentence:

Aida's score < Dave's score

This statement means that Aida's score of 30,025 points is less than Dave's score of 30,205 points.

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If a sample mean is 37, (32, 42) is most likely the range of possible values that best describes an estimate for the population mean. The correct option is C.

In math, a mean is the average of a data set, which is calculated by adding all of the numbers together and then dividing the sum of the numbers by the number of numbers.

Assuming a moderate sample size (e.g., n = 30) and a typical population standard deviation (e.g., σ = 10), the SEM can be estimated to be approximately 2.

Using this estimate, the range of possible values for the population mean can be calculated as:

37 - x = 33

37 + 2 * 2 = 41

Therefore, the most likely range of possible values for the population mean is option C.

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Answer:

y = 1.48 or y = - 0.193 to 3 s f.

Step-by-step explanation:

By comparing the 2 equations term by term we see that x = 1/y

So 1/y =  0.676

giving y = 1 / 0.676

= 1.48 to 3 s f.

an

1/y = -5.18

y = - 0.193 to 3 s f.

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

The ratio of the larger circle to the smaller circle is 8 : 5

The circumference of a circle is the distance around the outside of the circle.

It is calculated by multiplying the diameter of the circle by pi (π), which is a mathematical constant that is approximately equal to 3.14159.

the formula for the circumference of a circle is:

C = πd

C = 2πr

where

C is the circumference and

d is the diameter of the circle.

r is the radius (r) of the circle

given that

r1 = 8 ft

r2 = 5 ft

The ratio of the circumference is

= 2πr1 / 2πr2

= r1 / r2

= 8 / 5

= 8 : 5

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Answer:

Step-by-step explanation:

Answer:

C.) 33.60

Step-by-step explanation:

OMP. = $56

D. = 25%

0.25 * $56 = $14

SP. = $56-$14=$42

CD. = 20% of Selling price

= 0.20 * $42 = $8.40

FSP. = $42-$8.40      = $33.60

Answer:

c

Step-by-step explanation:

The sum of first five or twelve term in the A.P given the value 60.

The term AP refers a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

Here we have given that  A. P. 16,14,12,.

And we need to find the number of term to get the value of 60.

While we looking into the given question we have identified that the  common difference d of the A.P. is − 2

Here we also know that the terms of the A.P. are in descending order.

Now, we have to take n = 5  then then first 5 terms are 16,14,12,10,8.

Here we have identified that the sum is 60.

Similarly, here by taking n = 12 , then the last 7 terms ( 12 − 5 ) (12-5) are 6 , 4 , 2 , 0 , − 2 , − 4 , − 5 6,4,2,0,-2,-4,-5

Here we have identified that the sum of these seven terms is 0.

Therefore, sum of first 12 terms is also 60.

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Using the master theorem, the Θ-class are: a) T(n) = Θ(n)b) T(n) = Θ(n) and c) T(n) = Θ(√n log n).

a) T(n)=2T(n/2)+n³

To find the Θ class of T(n), we need to apply the Master Theorem. In the Master Theorem, if T(n) = aT(n/b) + f(n) where a >= 1, b > 1, and f(n) is an asymptotically positive function, then:

T(n) = Θ(nᵈ)

where d = logₐ(b).

Here a = 2, b = 2 and f(n) = n³.

So, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

b) T(n)=2T(n/2)+3n−2

Similarly to part (a), we can find the Θ class of T(n) by using the Master Theorem.

In this case, a = 2, b = 2 and f(n) = 3n - 2.

Here, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

c) T(n)=4T(n/2)+nlogn

For this recurrence relation, a = 4, b = 2 and f(n) = nlogn.

In this case, d = log₄(2) = 0.5.

So,

T(n) is

= Θ(nᵈ)

= Θ(n⁰.⁵)

= Θ(√n log n)

Therefore, the Θ class of T(n) is Θ(√n log n).

Hence, the correct options are:a) T(n) = Θ(n)b) T(n) = Θ(n)c) T(n) = Θ(√n log n).

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The equivalent expression for  (3a²b³-7 ab + 9b³) - (10b³-5a²b³ + 24ab) is 8a²b³- b³- 31ab.

According to the given question.

We have an expression (3a²b³-7 ab + 9b³) - (10b³-5a²b³ + 24ab) .

Since, we have to find the equivalent expression for the expression (3a²b³-7 ab + 9b³) - (10b³-5a²b³ + 24ab).

As we know that, equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Thereofore, the equivalent expression for (3a²b³-7 ab + 9b³) - (10b³-5a²b³ + 24ab) is given by

(3a²b³-7ab + 9b³) - (10b³-5a²b³ + 24ab)

= 3a²b³-7ab + 9b³ - 10b³+ 5a²b³ -24ab

= 8a²b³ - 31ab - b³

= 8a²b³- b³- 31ab

Hence, the equivalent expression for  (3a²b³-7 ab + 9b³) - (10b³-5a²b³ + 24ab) is 8a²b³- b³- 31ab.

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Answer:

35 is the remainder

Step-by-step explanation:

have a good Thanksgiving tomorrow

Step-by-step explanation:

this looks totally like

f(x) = 1/3 x - 3

to me.

because

f(0) = -3

f(3) = -2

f(6) = -1

so, f(9) = 1/3 × 9 - 3 = 3 - 3 = 0

f(9) = 0

you did not list that as answer option, but that is the correct answer.

an equation to express the relationship between two variables

the equation should be

let the number be x

now product of x and 5. is 5 times x. = 5x

now three less that 5x is given as

5x minus 3

put simply. 5x. - 3

Answer:

No water

Step-by-step explanation:

The word problem for the equation is  1 subtracted from the product of 2 and a number x is another number y

From the question, the equation is given as

y=2*-1

Rewrite the equation properly

So, we have the following representation

y = 2x - 1

2x means the product of 2 and a number x

So, we have the following representation

y = the product of 2 and a number x - 1

In this case, -1 means "minus 1"

So, we can interpret as

y = 1 subtracted from the product of 2 and a number

Finally, we have

1 subtracted from the product of 2 and a number x is another number y

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Answer:

(x - y)(x + y)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

\(x^{4}\) - 5x²y² + 4\(y^{4}\)

Consider the factors of the coefficient of the \(y^{4}\) term (+ 4) which sum to give the coefficient of the x²y² term (+ 5)

The factors are - 1 and - 4 , thus

\(x^{4}\) - 5x²y² + 4\(y^{4}\)

= (x² - y²)(x² - 4y²)

Both of these factors are differences of squares which factor in general as

a² - b² = (a - b)(a + b) , so

x² - y² = (x - y)(x + y)

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y)

Hence

\(x^{4}\) - 5x²y² + 4\(y^{4}\)

= (x - y)(x + y)(x - 2y)(x + 2y) ← in factor form

Given:

The regression equation is:

\(y=-25x+436\)

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

\(y=-25x+436\)

Substituting \(x=17\), we get

\(y=-25(17)+436\)

\(y=-425+436\)

\(y=11\)

The predicted value at \(x=17\) is 11.

The given point is (17,3.8). It means the observed value at \(x=17\) is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual = \(3.8-11\)

Residual = \(-7.2\)

Therefore, the residual for the given point is -7.2.

Applying the trigonometric ratios, the equations that can be used are:

sin 45 = BC/9

cos 45 = BC/9

In the given image below, to find the unknown lengths of the triangle, we would apply the following trigonometric ratios:

To find AC, use the cosine ratio, CAH.

To find BC, use the sine ratio, SOH.

sin 45 = opp/hyp = BC/9

sin 45 = BC/9

cos 45 = adj/hyp = BC/9

cos 45 = BC/9

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Answer: A, E

Step-by-step explanation: Sin(45)=BC/9 ; cos(45)=Bc/9

Answer:

The equation of the line is \(y = - \frac{1}{2} x + 1\)

Step-by-step explanation:

☆Remember: \(slope = \frac{rise}{run} \)

▪Happy To Help <3

Answer:

s = 2

Step-by-step explanation:

I'll be using the substitution method.

Answer:

for 29. the answer is 10×10×10×10×10×10

for 33. the answer is 5³,3⁵,10³

for 35. the answer is 1⁵,5¹,10¹

hope it helps you mate please mark me as brainliast...

Answer:

29: 1,000,000

33: 1,000. 243. 125

35: 1. 5. 10

Step-by-step explanation:

floor gang aooh sub to pewdiepie

Answer:

150cm²

Step-by-step explanation:

area of trapezium=1/2h(a+b)

=1/2×20(7+8)

=10(15)

=150 cm²

Answer:

The area of the trapezium is

Step-by-step explanation:

The area of a trapezium is given by

where

h is the height

a and b are the parallel sides of the trapezium

From the question

h = 20cm

a = 7cm

b = 8 cm

Substitute the values into the above formula

We have

We have the final answer as

Hope this helps you

Answer:

n-2<9

Step-by-step explanation:

9+2=11. n<11

Answer:

C. about $15.00

Step-by-step explanation:

To solve, you take the initial amount, which is $100, and multiply it by the percentage in decimal form: 15% ---> 0.15

100 x .15 = 15

Answer:

The conclusion in this conditional statement would be that it needs a new tire

Step-by-step explanation:

Check the picture below.

so by the "inscribed angle theorem" that means "c" is half of 70°, and by Thales Theorem "a" is a right-angle, btw that can also be derived by the "inscribed angle theorem", that makes angles "b" and "c" complementary angles.

Answer:

Step-by-step explanation:

f^-1(x)=8(1/x)-5

f^-1(1)=8(1/1)-5=3

Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

Answer:

x = 55 + 60

= 115

.....................................

The required probabilities are

a. P(x ≤ 30) ≈ P(z ≤ 3.43)

b. P(10 < x ≤ 20) ≈ P(-1.72 < z ≤ 0.86)

c. P(x > 20) ≈ 1 - P(z ≤ 0.86)

d. P(x ≥ 20) ≈ 1 - P(z < 0.86)

To find the probabilities for event A "rolling a 2 with the die" using a normal distribution approximation, we need to make certain assumptions and approximations.

One common approximation is to assume that the distribution of the number of times a specific outcome occurs in a large number of independent trials follows a normal distribution.

Let's denote the number of times a 2 is rolled in 100 trials as X, which follows a binomial distribution with parameters n = 100 (number of trials) and p = 1/6 (probability of rolling a 2 in a single trial, assuming a fair die).

To apply the normal distribution approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution, which are given by:

μ = n × p

σ = √(n× p × (1 - p))

Substituting the values, we have:

μ = 100 × (1/6) = 100/6 ≈ 16.67

σ = √(100 × (1/6) × (1 - 1/6)) =√(500/36) ≈ 3.87

Now, we can use these values to approximate the probabilities using the normal distribution:

a. P(x ≤ 30)

To approximate this probability, we standardize the value of 30 using the formula z = (x - μ) / σ and calculate the corresponding cumulative probability using the standard normal distribution table or a calculator:

z = (30 - 16.67) / 3.87 ≈ 3.43

P(x ≤ 30) ≈ P(z ≤ 3.43)

b. P(10 < x ≤ 20)

To approximate this probability, we standardize the values of 10 and 20 and calculate the difference in their cumulative probabilities:

z₁ = (10 - 16.67) / 3.87 ≈ -1.72

z₂ = (20 - 16.67) / 3.87 ≈ 0.86

P(10 < x ≤ 20) ≈ P(-1.72 < z ≤ 0.86)

c. P(x > 20)

To approximate this probability, we standardize the value of 20 and calculate the complementary probability:

z = (20 - 16.67) / 3.87 ≈ 0.86

P(x > 20) ≈ 1 - P(z ≤ 0.86)

d. P(x ≥ 20)

To approximate this probability, we can use the same approach as in part c: P(x ≥ 20) ≈ 1 - P(z < 0.86)

Therefore,

The required probabilities are

a. P(x ≤ 30) ≈ P(z ≤ 3.43)

b. P(10 < x ≤ 20) ≈ P(-1.72 < z ≤ 0.86)

c. P(x > 20) ≈ 1 - P(z ≤ 0.86)

d. P(x ≥ 20) ≈ 1 - P(z < 0.86)

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