What else would need to be congruent to show that ABC=DEF by SAS?

Answer:The answer is 8,3333Yhe

Step-by-step explanation:

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

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Solution

rise = 1

run = 1

gra

y = x + [-1]

=> y = x - 1

Answer: 84.93

Step-by-step explanation:

when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93

Answer:

84.93

Step-by-step explanation:

7.28 x 6 +41.25

Do 7.28 x 6

43.68+41.25

Then add together

84.93

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = \(\sqrt{400 - b^2}\)

A = bh

A = b\(\sqrt{400 - b^2}\)

Area will be maximized when the derivative is set to zero

           dA/db = \(\sqrt{400 - b^2}\) - b²/ \(\sqrt{400 - b^2}\)

                   0 = \(\sqrt{400 - b^2}\) - b²/ \(\sqrt{400 - b^2}\)

b²/\(\sqrt{400 - b^2}\) =  \(\sqrt{400 - b^2}\)

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = \(\sqrt{200}\)

h = \(\sqrt{400 - b^2}\)

h = \(\sqrt{400 - \sqrt{200}^2 }\)

h = \(\sqrt{200}\)

A = bh

A =  \(\sqrt{200}\)•\(\sqrt{200}\)

A = 200 units²

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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There is 99% confidence that the population mean number of books read is between 1.51 and 26.69. This confidence interval indicates that there is a 99% probability that the true mean number of books read by people in the past year falls between 1.51 and 26.69.

Confidence interval for the mean = (x - z(s/√n), x + z(s/√n))

Where x is the sample mean, s is the sample standard deviation, n is the sample size, and z is the critical value for the given confidence level (in this case, 99%).

Therefore, the confidence interval for the mean number of books read is:

(14.1 - 2.58(16.6/√1018), 14.1 + 2.58(16.6/√1018))

= (1.51, 26.69)

This confidence interval indicates that there is a 99% probability that the true mean number of books read by people in the past year falls between 1.51 and 26.69. In other words, it is likely that the average number of books read by people in the past year is between these values. This interval is an estimate of the population mean and the confidence level indicates how confident we can be that the true mean falls within this range.

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Therefore, the angle of rotation for this image is approximately -21.8 degrees or 338.2 degrees (in a clockwise direction).

An angle of rotation is the amount of rotation of an object around a fixed point, usually expressed in degrees or radians. It is a measure of the angle between the original position of an object and its new position after it has been rotated. The direction of the rotation is typically either clockwise or counterclockwise. In mathematics, angles of rotation are often used in geometry, trigonometry, and linear algebra to describe transformations of shapes or objects. In graphics and computer science, angles of rotation are used to manipulate and transform images and objects in 2D and 3D space.

Here,

To find the angle of rotation for this image, we need to identify two corresponding points on the original and transformed images. Let's choose the top and bottom vertices of the triangle as our corresponding points:

Original image: (2,1) and (4,6)

Transformed image: (4,2) and (1,4)

Next, we can use the slope formula to find the slope of the line passing through each pair of corresponding points:

slope of original line = (6 - 1) / (4 - 2) = 5/2

slope of transformed line = (4 - 2) / (1 - 4) = -2/3

The angle of rotation can then be found using the formula:

angle of rotation = tan⁻¹(m2/m1)

where m1 is the slope of the original line and m2 is the slope of the transformed line.

angle of rotation = tan⁻¹((-2/3)/(5/2))

angle of rotation ≈ -21.8 degrees or 338.2 degrees (rounded to the nearest tenth)

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Answer:

B 39x-11=2(17x+6)

Step-by-step explanation:

The amount invested at 4% was $81, and the amount invested at 9% was $825. The amount invested at 15% was $300 more than the combined amount invested at 4% and 9%, which is $81 + $825 + $300 = $1206.

Let x be the amount of money invested at 4%, and y be the amount of money invested at 9%. We know that x + y + (x + y + 300) = 6100, so the amount invested at 15% is x + y + 300.

We also know that 0.04x + 0.09y + 0.15(x + y + 300) = 681, which is the total annual income from these investments.

Substituting the value of x + y + 300, we get:

0.04x + 0.09y + 0.15(x + y + 300) = 681

0.04x + 0.09y + 0.15x + 0.15y + 0.15*300 = 681

0.19x + 0.24y + 45 = 681

0.19x + 0.24y = 636

We can now solve this system of equations using elimination method. First, we can multiply the first equation by 4 and the second equation by 9:

4x + 4y = 6100

9x + 9y = 5676

Then, we can add the two equations to eliminate the y-term:

(4x + 4y) + (9x + 9y) = 6100 + 5676

13x + 13y = 11776

x + y = 906

Substituting this value back into either of the original equations, we can solve for x and y:

x + y = 906

x = 906 - y

4(906 - y) + y = 6100

4*906 - 4y + y = 6100

3624 - 3y = 6100

-3y = -2476

y = 825

Substituting this value back into the equation x + y = 906, we can solve for x:

x + y = 906

x + 825 = 906

x = 81

Therefore, the amount invested at 4% was $81, and the amount invested at 9% was $825. The amount invested at 15% was $300 more than the combined amount invested at 4% and 9%, which is $81 + $825 + $300 = $1206.

We can check our solution by substituting the values of x and y into the original equations to verify that they are both satisfied.

The required expression is 21.29 × 38 = 809.02. has an exact value of the given product.

The estimate is a process, and it includes the rough over-calculation that makes one have a close value to the exact value.

here,
Given expression,
21.29 × 38 = (21 + 0.29) 38
Using distributive property,
               = 21× 38 + 0.29 × 38

               = 798 + 11.02
               = 809.02

The required expression is 21.29 x 38 = 809.02. has an exact value of the given product.

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Answer:

1080

Step-by-step explanation:

your welcome

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

Step-by-step explanation:

(3k,4k,5k)

sea k=2

la terna es:

(6,8,10)

sea k=5

la terna sería:

(15,20,25)

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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Answer:

xbxbkzkdkdjd

Step-by-step explanation:

bz va yJnzz

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

Based on the proportionate equation of the selling price (S), cost price (C), and profit (P), the change in S caused by decrease of C and increase of P is decrease by 4%

Based on the given information, we know that:

S ∝ √C --> S directly varies as the square root of C

S ∝ 1/P³ --> S inversely as the cube of P

We can combine both relationships to make a proportionate equation:

S = √C / P³

We know from the case that:

ΔC = - 2%

ΔP = 1%

Then:

C' = C + ΔC

C' = C + (-0.02)P

C' = 0.98C

P' = P + ΔP

P' = P + (0.01)P

P' = 1.01P

S' = √C' / P'³

S' = √(0.98C) / (1.01P)³

S' = 0.96 √C/P³

S' = 0.96S

ΔS = S' - S

ΔS = 0.96S - S

ΔS = - 4%

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Answer:

its A 656 ft

Step-by-step explanation: