Look at the figure below:

Triangles ABC and ACD have a common side AC. E is the point of intersection of AD and BC. AE equals ED and CE equals BE.

Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate?


Triangle ACD and triangle ACE

Triangle AEC and triangle DEC

Triangle ABE and triangle ACE

Triangle AEB and triangle DEC

Answer:

96 = 3 * 32, and 32 = 16 + 16, so we can say:

96 = 3(16 + 16)

96 is also equal to 2 * 48, and 48 equals 36 + 12, so we can also say:

96 = 2(36 + 12)

If you want to go with the ridiculous, you have an infinite number of combinations you could do like that.  For example:

96 = 0.15(1423987123497 - 1423987122857)

The two different expressions can be written as 2 × (30 + 18) and 4 × (13 + 11).

Distributive property is applied for numbers or algebraic expressions.

For three numbers a, b and c, distributive property states that,

a (b + c) = ab + ac

Given number is 96.

We have to write two expressions such that the expression should be the product of a number and a sum which equals 96.

We know that,

96 = 2 × 48

Using distributive property,

96 = 2 × (30 + 18)

     = (2 × 30) + (2 × 18)

     = 60 + 36

     = 96

So one expression is 2 × (30 + 18).

96 = 4 × 24

     = 4 × (13 + 11)

     = (4 × 13) + (4 × 11)

     = 52 + 44

     = 96

So the other expression is 4 × (13 + 11).

Hence the two expressions are 2 × (30 + 18) and 4 × (13 + 11).

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Answer: hii

hopefully this helps you!

Step-by-step explanation:

Simplify the expression.

- Matthew <3

Answer:

4

Step-by-step explanation:

Answer:

A. 210

Step-by-step explanation:

Answer: No it can't

You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.

Hope this helped you!

Answer:

30%

Step-by-step explanation:

Find the total number of candies in the jar.

8 + 5 + 1 + 6 = 20

The probability of choosing a green candy is 6/20 = 3/10 = .3 = 30%

Answer:

: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob

ng mga bilog.

Step-by-step explanation:

Let's Write!

Directions: Write at least a five-sentence paragraph about the issue conveyed in the

picture using a pattern of idea development with its appropriate grammatical signals. A

rubric is given below for your guidance. Write your paragraph on a separate sheet of

paper.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement

is false. Write your answer on your answer sheet.

1. Always follow the routine “clean up while in use and clean up before keeping it”.

2. Manufacturer's instructions for operation and maintenance should be followed.

3. Employers have some control over potential hazards.

4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.

5. For the equipment with wheels, clean and check wheel-driven gears.

6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools

should be displayed for easy used and reach.

7. Only qualified people should carry out the maintenance and they should also keep

records of their inspections.

8. Check-up equipment irregularly to prevent serious breakdown.

9. Place guards on machinery to protect fingers and limbs.

10. Store electrical equipment outdoors.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement

is false. Write your answer on your answer sheet.

1. Always follow the routine “clean up while in use and clean up before keeping it”.

2. Manufacturer's instructions for operation and maintenance should be followed.

3. Employers have some control over potential hazards.

4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.

5. For the equipment with wheels, clean and check wheel-driven gears.

6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools

should be displayed for easy used and reach.

7. Only qualified people should carry out the maintenance and they should also keep

records of their inspections.

8. Check-up equipment irregularly to prevent serious breakdown.

9. Place guards on machinery to protect fingers and limbs.

10. Store electrical equipment outdoors.WORK #1

Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template

below.

Digestive Disease

Causes

Symptoms

TreatmentWRITTEN WORK #1

Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template

below.

Digestive Disease

Causes

Symptoms

Treatment

Answer: 21+3x

Step-by-step explanation: simply distribute the three into the parentheses

Hope this helps

Answer:

21+3x

Step-by-step explanation:

you multiply 3 by 7 and then you sum it with 3 multiplied by x hope i helped

The possible formula for the polynomial in discuss whose roots are described as; having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is; P(x) = x^5 -5x⁴-6x³+18x².

The polynomial which is as described in the task content whose roots are as given can be written in its factorised form as follows;

P(x) = (x-3) (x-3) (x) (x) (x+1)

The expanded form is therefore;

P(x) = x^5 - 5x⁴- 6x³+ 18x².

Therefore, the polynomial having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is P(x) = x^5 - 5x⁴- 6x³+ 18x².

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Answer:

False

Step-by-step explanation:

Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.

Answer:

5 lbs 12 ounces

Step-by-step explanation:

16 oz = 1 lb

So divide the ounces by 16 to calc pounds

92/16 = 5.75 lbs

So it's 5 lbs + ___ oz

.75 * 16 = 12

5 lbs 12 oz

Answer:

The answer is -5

Step-by-step explanation:

Each number moves down 5 as it moves to the right 1. Right is positive, and down is negative. -5 divided by 1 is -5.

Answer:

\(x = -8\)

Step-by-step explanation:

Let \(x\) be the integer, then the consecutive integer is \(x + 1\). "3 times the next consecutive integer" means we should multiply \(x + 1\) (the consecutive integer) by 3, giving us \(3 ( x + 1)\).

We are told that the sum of \(x\) and \(3(x + 1)\) gives -29. Therefore, we can build an equation.

The sum of \(x\) and \(3(x + 1)\) can be expressed as \(x + 3(x + 1)\).

Therefore,

\(x + 3(x + 1) = -29 \text{ // Distribute 3(x + 1)}\\x + 3 \times x + 3 \times 1 = -29\\\to x + 3x + 3 = -29 \text{ // Simplify}\\\to 4x + 3 = -29 \text{ // Subtract 3 from both sides}\\4x + 3 - 3 = -29 - 3\\\to 4x = -32 \text{ // Divide by 4 on both sides}\\\frac{4x}4 = -\frac{32}4\\\to x = -8\)

The dot plot consists of ten dots, each representing the data value of a single person at the talk. The data values are spread out as far as possible, resulting in the largest possible standard deviation.

A dot plot is a graph that is used to represent the distribution of data. It consists of dots, each of which represents a single data value. In this case, the dot plot represents the distribution of possible data values from a talk with ten people. To achieve the largest possible standard deviation, the data points should be spread out as far as possible. Each dot should be placed on the graph in such a way that the difference between any two adjacent data points is maximized. This is done by placing the highest and lowest values at opposite ends of the graph, and then evenly spacing out the remaining data points in between. All of this should result in the largest possible standard deviation of the data set.

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Answer:

∠ 2 = 66°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

∠ 2 + 114° = 180° ( subtract 114° from both sides )

∠ 2 = 66°

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

#HaveAnAmazingDay

\(GraceRosalia\)

Answer:

Step-by-step explanation:

the right choice is C

you use c^2=a^2+b^2

where the largest side is the hypotenuse

Answer:

C.

a triangle with sides measuring 20, 21, and 29

Step-by-step explanation:

As, √(20)²+(21)² = √400+441 = √841 = 29

The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=√b²+p² )

Answers:

8

6

1

3

Reason:

Add 5 to each value in the f(x) column.

Example: 3+5 = 8 for the first row.

This will shift each point 5 units up. This is because we're moving 5 units up the y axis.

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

47*

Step-by-step explanation:

Each corner of the square is 90*

angle CBE + angle ABE = 90*

fill in the blanks

43 + x = 90

subtract 43 from both sides

x = 47*

Answer:

1

Step-by-step explanation:

3/3=1

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

r = k/x

72 = k/9

k = 72*9

When r = 40 ,

x = k/r

x = 72*9/40 = 16.2

The fraction 13/7 lies between the fractions 6/6 and 6/7.

We have,

Between the fractions 6/6 and 6/7, there are infinitely many fractions.

To find a fraction that lies between these two fractions, we can take their average.

The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.

To find the average, we add the two fractions and divide the sum by 2:

(6/6 + 6/7) / 2

To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.

Converting the fractions to have a common denominator:

(6/6) x (7/7) + (6/7) x (6/6) / 2

Simplifying the expression:

(42/42 + 36/42) / 2

Combining the numerators:

(78/42) / 2

Dividing:

78/42 = 13/7

Thus,

The fraction 13/7 lies between the fractions 6/6 and 6/7.

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The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

2!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume you need solution as you have the answer

Find x:

The ratio of football to total equipment is 3/ 7

Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.

It explains how many times one number contains another.

From the diagram shown, we have:

Ratio of football to total equipment is;

= 6/ 6 + 2 + 6

= 6/ 14

Find common divisor

= 3/ 7

Thus, the ratio of football to total equipment is 3/ 7

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Answer:

1. True

2. False

3. True

Step-by-step explanation:

1. (x,y) = (3,1). x = 3; y = 1

2. Vertical is y and horizontal is x

3. The origin is (0,0), The only time these two x and y axis intercept.