Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
8 cm
8 cm

=================================

Explanation:

The result of problem 7 is undefined because the matrices are not the same size. Both matrices must have the same number of rows, and they must have the same number of columns. This is so the terms match up when we add them. This applies to question 9 as well because subtraction is a form of addition.

For problem 8, we add the corresponding terms. So for instance, along the top we have -2+(-3) = -5 as the first entry in the top row. So that's why the answer is C for problem 8. Problem 10 and 11 are similar to this. Be careful to distribute the negative through to each term in the second matrix when subtracting matrices.

For problem 12, we multiply the outer 3 by each term inside the matrix. We end up with choice B.

Answer:

[tex]Average\ Rate = 48[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over [tex]5\le x \le 7[/tex]

Average rate of change is calculated using:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a \le x\le b[/tex]

In this case:

[tex]a = 5;\ \ \ b = 7[/tex]

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]

From the table:

[tex]f(7) = 108[/tex]

[tex]f(5) = 12[/tex]

The expression becomes

[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]

[tex]Average\ Rate = \frac{96}{2}[/tex]

[tex]Average\ Rate = 48[/tex]

Answer:hi:)

Step-by-step explanation:

The equation y = (x + 2)² + 3 represents the shown parabolic graph. The correct answer is option B.

The vertex of the parabola occurs at the point (-2, 3), which is the point where the parabola reaches its minimum value.

The term (x + 2)² indicates that the parabola is translated horizontally by 2 units to the left from the standard vertex form of a parabola.

The "+3" term indicates that the parabola is translated vertically by 3 units upward.

Hence, the equation y = (x + 2)² + 3 represents the shown parabolic graph.

Thus, the correct answer is option B.

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Answer:

Part A

The total surface area of the triangular prism is approximately 1715.793 cm³

Part B

The volume of the triangular prism is 1,476 cm³

Step-by-step explanation:

Part A

The given parameters are;

The shape of the cross-section of triangular prism = Right-angled isosceles triangle

The length of one the of the equal side = 6 cm

The length of the prism = 82 cm

Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm

The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm

The area of the triangular cross section of the triangular prism = 1/2 × Base × Height

∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²

The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³

The total surface area of the triangular prism ≈ 1715.793 cm³

Part B

The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism

∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.

Step-by-step explanation:

The line is the y-axis, where x = 0.

Equation of the line: x = 0.

There are x-values which are paired with multiple y-values.

Answer:

100

Step-by-step explanation:

Round off each number to 1 significant figure first.

(39×52)/(3.8×4.9) = (40×50)/(4×5)

Evaluate numbers in brackets.

(40×50)/(4×5) = 2000/20

Evaluate.

2000/20 = 100

The value of the expression will be equal to 100.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Round off each number to 1 significant figure first.

(39×52)/(3.8×4.9) = (40×50)/(4×5)

Evaluate numbers in brackets.

(40×50)/(4×5) = 2000/20

(40×50)/(4×5)  = 2000/20 = 100

Therefore, the value of the expression will be equal to 100.

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Answer:

you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b

Step-by-step explanation:

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)

b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

  y = 2 x + 9.74

→ Compare it with the form of the linear equation above

∴ m = 2

∴ b = 9.74

∵ x represents the number of years that Consuelo has owned the coin

∵ y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

  Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

∴ The value of the coin when Consuelo originally purchased it is $9.74

Answer:-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

so you have to do PEMDAS

first parenthesis 6-1 is 5

then multiplication 5x4 is 20

the subtraction  23-20-2(5)

2x5=10

23-20=3

3-10=-7

The Answer: x = -2/7

Answer: x = 2/7 or 0.29

Step-by-step explanation:

- 2x - 12 = 5x - 10

- 2x - 5x = 12 - 10

- 7x = 2

x = 2/7 or x = 0.29

The decimal place is rounded up.

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

A. (f - g)(x) = -7x - 3

General Formulas and Concepts:

Algebra I

Composite Functions

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = -3x - 5 - (4x - 2)

Distribute -1:                 (f - g)(x) = -3x - 5 - 4x + 2

Combine like terms:    (f - g)(x) = -7x - 3

Answer:

b

Step-by-step explanation:

Answer:

B and A

is the correct answer

Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Step-by-step explanation:

E D G E N U I T Y

Hope this helped!!! :)

Stay safe and have a wonderful day/afternoon/night!!!!!

Brainliest?!?!

Answer:

16/28

Step-by-step explanation:

Multiply both the denomator and numerator by 4

Answer:

y=2x-10

Step-by-step explanation:

Original Equation: y=2x-7

Plug in (7,4) and keep the same slope bec line has to be parallel

b=-10

plug in b

y=2x-10

Answer:

I hope this makes you feel good :D

Tysm trystatroxtle278 for helping me notice my mistake!

Answer:

A

Step-by-step explanation:

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

Answer:

B. 39°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Identify

Angle θ = y

Opposite Leg = 8

Adjacent Leg = 10

Step 2: Solve for y

Answer:

2, 4

Step-by-step explanation:

i just look at a graph

Answer:

the axis of symmetry

Step-by-step explanation:

Answer:

A. 24  

Step-by-step explanation:

If we have two digits to multiply together, the multiplication of the individual digit of those number with each other whereby each digit retain its place is known as partial product.

From the given question, by applying the distributive property method, the partial products are:

24 × 69 = 24 × (60 + 9)  

open brackets

= (24 × 60) + (24 × 9)

By factorization

= 60 (20 + 4) + 9(20 + 4)

expanding the brackets, we get:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

= 1200 + 240 + 180 + 36   (These are the partial products)

= 1656

Answer:

Step-by-step explanation:

Use the triangle inequality theorem which states that any side of the triangle must be shorter than the sum of the other sides.

We have sum of given sides:

The remaining side must be less than 13 units, which is a- 12 units, all the other options are greater than 13 units

Answer:

Its not 14 its 12

Step-by-step explanation:

I got it right on the test

Answer:

(c) bro for sure i have done this calculation bro

Answer:

x=9

Step-by-step explanation:

1. [tex]\frac{12}{x}[/tex]=[tex]\frac{4}{3}[/tex]

2. 12=[tex]\frac{4}{3}x[/tex]

3. 12=[tex]\frac{4x}{3}[/tex]

4. 12x3=4x

5. 36=4x

6. [tex]\frac{36}{4} =x[/tex]

7. 9=x

8. x=9

The value of x that makes the equation true 12/x = 8/6 is 9

Two or more expressions with an Equal sign is called as Equation.

We need to find the value of x that makes the equation true 12/x = 8/6

The given equation is 12/x=8/6

Twelve divided by x equal to eight by six

Apply cross multiplication

12(6)=8x

72=8x

Divide both sides by 8

x=9

Hence, the value of x that makes the equation true 12/x = 8/6 is 9

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Answer:

0.9%

Step-by-step explanation:

Given that:

A nest of ant is represented by the exponential growth function :

P(w)=24,000(1.063)^w

Where w = number of weeks

Recall :

Growth function is generally represented as :

P(t) = A(1 + r)^t

Where ; A is the initial population figure; r = growth rate and t = time

Hence, the growth rate per week of the function given is :

(1 + r) = 1.063

r = 1.063 - 1

r = 0.063

Number of days in a week = 7

Hence, growth rate per day = r /7

0.063 / 7

= 0.009

(0.009 * 100%) = 0.9%

Answer:

i do think its 15

Step-bep explanation:

put the 25 in halph and that how its 15