Classify the angle as acute , obtuse , right , or straight

The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.

What are vertically  angles?

Vertical  angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given that

∠BOC+∠AOC=280o   (AB and CD intersect at point E)

we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC

we know that, ∠AED=∠BEC

so it can be written as

∠AED+∠AED=180o,

2∠AED=280o,

∠AED= 140o,

∠AED=∠BEC=140o

we know that ∠AEC and ∠AEC form a linear pair

So it can be written as

∠AEC+∠AED=180

substituting the values

∠AEC+140o=180o

∠AEC=40o

we know that ∠AEC and ∠BED are vertically opposite angles

∠AEC=∠BED=40o

Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40

To know more about vertical angles, visit:

https://brainly.com/question/24460838

#SPJ9

on the map , 1cm=5kmtherefore ,

4.7cm= 5/1 x 4.7=23.5 km <----—-answer

The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}[/tex]

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

N is the number of observations in the data set.

It is given that:

The data set:

45, 76, 30, 22, 51, 40, 63, 66, 41

From the formula:

∑(x(i) - X)² = 2463.55

N = 9

SD = √(2463.55/9)

SD = 16.54

Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ4

Answer:

Yes. The sequence of transformations is an isometry because it contains only rigid transformations.

Step-by-step explanation:

Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.

The rule of the transformation is given as,

(4, -4) ⇒ (1 - x, 2 - y)

Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.

The graph of transformation is attached below.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

Answer:

6000

Step-by-step explanation:

thousands digit and the units digit are the same.

and The hundreds digit and the tens digit are the same.

The hundreds digit is 0.

so three digits are same.

so the last three digits are 0.

The sum of the digits is 6.

so 6000 is right answer.

The option that would complete the given expression is; Option B: 10 to the fourth power

We are told that Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation.

This can be broken down as;

20,190

This can be broken further down into;

20000 + 100 + 90

Writing in expanded notation gives;

(2 * 10⁴) + (1 * 10²) + (9 * 10¹)

Thus, we can say that the option that would complete the given expression is; Option B: 10 to the fourth power

Read more about Expanded Notation form at; https://brainly.com/question/567952

#SPJ1

Answer:

Practice with this   https://www.ixl.com/math/grade-8/solve-proportions-word-problems

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1+6=7

7+4=11

11+11=21

Answer:

m=7

Step-by-step explanation:

it's in the picture

the left got cut out but there's a bracket at the end of the first line

[tex]x + 74 \cdot 10 - (7 \cdot 86) = 318[/tex]

[tex]x+74\cdot \:10-7\cdot \:86=318[/tex]

[tex]x+740-7\cdot \:86=318[/tex]

[tex]x+740-602=318[/tex]

[tex]x+138=318[/tex]

[tex]x = 318 - 138 = 80[/tex]

Imparatul s-a gandit la numarul 80.

Answer:

No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.

Answer:no

Step-by-step explanation:in order for them to be like terms they would have to have the same variables

Answer:

1: $5

2: 7

3: 18

4: 17

5: 2

6: 1,029

Step-by-step explanation:

The wire that Marlee had left is 20.8 inches.

From the information given, it was stated that Marlee is making jewelry for a class craft show and that she began with 115 inches of wire.

Amount used for rings = 25.75 inches..

Amount given to her by the teacher = 30 1/4 inches.

Amount used for bracelets = 38 1/2

inches.

Amount used for necklace = 60.2 inches

It should be noted to know the wire left, we have to subtract the values that were used and then add the value that her teacher gave her from the original value. This will be calculated thus:

This will be:

= 115 - 25.75 + 30.25 - 38.5 - 60.2

= 20.8 inches

Therefore, in conclusion, the wire that Marlee had will be 20.8 inches left.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.

⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)

Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.

Input_string: The input string is defined in this argument.

Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

Learn more about the CHARINDEX function here:

https://brainly.com/question/12959116

#SPJ4

Answer:

31.7

Rounded to the nearest Tenths Place.

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

Answer:

x= -3/g -1

Step-by-step explanation:

Answer:

-23/20

Step-by-step explanation:

Answer:

3t (t²-7t-4t)

Step-by-step explanation:

The highest common factor was 3t

Answer:

Step-by-step explanation:

0,5 0.6 and 0.5 again? sorry i might be wrong if i am my apologies

Answer:

yes a product of any number to 0 is equal to 1

If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x,  can be presented by the compound inequality 10 < x < 19.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:

31 < sum < 40

If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:

31 < 9 + 12 + x < 40

31 < 21 + x < 40

Subtracting 21 at all sides,

31 - 21 < 21 + x - 21 < 40 - 21

10 < x < 19

Hence, the compound inequality to show the length of the third side can be written as 10 < x < 19.

To learn more about inequalities: brainly.com/question/24372553

#SPJ4

Answer:

Step-by-step explanation:

11+(19+6)= (11+19)+6 so it's the associative property

The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.

Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.

And 2.5 hours are used traveling back.

Downstream, the boat moves 2 miles per hour more quickly.

Let the speed of travel upstream would be x

⇒ 3.5x = 2.5(x + 2)

⇒ 3.5x = 2.5x + 5

⇒ 3.5x - 2.5x = 5

⇒ x = 5

So the distance traveled by boat upstream would be

= 3.5 × 5

= 17.5 miles per hour

Therefore, the boat travels 5 miles downstream.

Learn more about the speed here :

brainly.com/question/12322912

#SPJ1

Answer:3.141598

Step-by-step explanation: that is all I can remember on the top of my head

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

In ΔOAC and ΔODB, we have the following observations

CO = DO because it is shown that they are congruent

∠AOC = ∠BOD because vertical angles are congruent

∠ACO = ∠BDO because we are given that they are congruent

Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

Read more about Congruent Angles at; https://brainly.com/question/24913488

#SPJ1

Answer:

[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]

Answers to Question 6: m∠1 = 92, m∠2 = 88

    The sum of a linear pair's angles is 180°, so we will set up an equation to solve.

(x + 67) + (3x + 13) = 180

4x + 80 = 180

4x = 100

x = 25

    -

(x + 67) ➜ (25 + 67) ➜ 92

(3x + 13) ➜ (3(25) + 13) ➜ 88

Answer to Question 7: m∠2 = 56

    Vertical angles are congruent, or equal, so we can set up an equation to solve.

(5x + 16) = (4x + 24)

x = 8

    -

(5x + 16) ➜ (5(8) + 16) ➜ 56

(4x + 24) ➜ (4(8) + 24) ➜ 56

Answer:

$242.50

Step-by-step explanation:

The total of number of hours = 20

Hourly pay = 12.125

20*12.125

Total pay= 242.50

Using operations with integers, it is found that the elevation at the end of the trail is of 8,414 feet.

We initially take the initial elevation, and then:

Thus, operations of sum and subtraction with integers are used to find the final elevation.

From the listed points on the problem, the operations are given as follows:

-174, 350, -180, +282.

The trail begins at an elevation of 8136 feet, hence the final point can be found as follows:

8136 - 174 + 350 - 180 + 282 = 8414 feet.

The elevation at the end of the trail is of 8,414 feet.

More can be learned about operations with integers at https://brainly.com/question/1633188

#SPJ1