2 lines intersect. A horizontal line has points D, E, B. Line A C intersects that line at point E. Angle A E D is (x + 25) degrees and Angle A, E, B is (9 x + 10) degrees. What is the numerical sum of the degree measures of ∠DEA and ∠AEB? What are the numerical measures of the angles? x = m∠DEA = ° m∠AEB = °

Answers

Answer 1

Answer:

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

180

What are the numerical measures of the angles?

x = 14.5

m∠DEA = 39.5°

m∠AEB =  140.5°

Step-by-step explanation:

x + 25 + 9x + 10 = 180

Subtract 35 from both sides and you get,

10x = 145

The divide both sides by 10 and you get,

x = 14.5

To get the angle measurements you plug x back into the angle equations which in this case is 14.5.

It would look like,

m∠DEA = (14.5 + 25) = 39.5

and,

m∠AEB = (9 (14.5) + 10) = 140.5

Answer 2

The numerical sum of ∠DEA and ∠AEB  is 180°.

Numerical value of x is 14.5°.

Measure of ∠DEA is 39.5°.

Measure of ∠AEB is 140.5°.

What is Supplementary angles?If the sum of two linear angles is 180° then, they are known as supplementary angles.∠A + ∠B = 180°, (∠A and ∠B are linear angles.)

Given: Two lines intersect.

Points D, E and B lie on a horizontal line and point E is intersected by line AC.

∠DEA = x + 25

∠AEB = 9x + 10

Now, from the given information we can deduce that to obtain the angles ∠AED and ∠AEB, point E should lie in between points D and B.

Since, points D, E and B lie on the horizontal line, then the ∠DEA and ∠AEB should form the supplementary angles (Figure 1).

∠DEA + ∠AEB = 180°

⇒ (x + 25) + (9x + 10) = 180°

⇒ 10x + 35° = 180°

⇒ 10x = 145°

x = 14.5°

Now, we will substitute the value of x = 14.5° in the ∠DEA and ∠AEB, hence we get:

⇒ ∠DEA = x + 25°

⇒ ∠DEA = 14.5° + 25°

⇒ ∠DEA = 39.5°

Also,

⇒ ∠AEB = 9x + 10°

⇒ ∠AEB = 9 × 14.5° + 10°

⇒ ∠AEB = 130.5° + 10°

⇒ ∠AEB = 140.5°

Therefore, the numerical sum of the degree measures of ∠DEA and ∠AEB is 180°; The numerical measures of the angles is, x = 14.5°, m∠DEA = 39.5° and m∠AEB = 140.5°.

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2 Lines Intersect. A Horizontal Line Has Points D, E, B. Line A C Intersects That Line At Point E. Angle

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Answers

Answer: x= 3.8

Step-by-step explanation:

21.1 - 8.3 = 3.8

x= 3.8

Answer:

X = 3.8

Explanation: 12.1 minus 8.3 equals the missing value

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Answers

Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

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Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

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Now, subtract 8 from both sides to get x alone:

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Which letter represents the first number in an ordered pair?

Answers

Step-by-step explanation:

Example: (5,2)

On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.

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Answers

Answer:

The y- intercept could only be: B) (0, -3).

Step-by-step explanation:

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Answers

Answer:

The answer is x= 19980

Step-by-step explanation:

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Answers

The answer is determine


Can anyone help me with this? (I took a picture of it too)

11. STEM To convert a temperature in degrees Celsius to degrees
Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32°. Is a
temperature in degrees Celsius proportional to its equivalent temperature in
degrees Fahrenheit?
Degrees Celsius
0
10
20
30
Degrees Fahrenheit
132

Answers

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

Is 1/2 an irrational number?

Answers

Answer:

Yes, 1/2 is a irrational number

Step-by-step explanation:

This is the answer because (Google research):

A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

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Step-by-step explanation:


Write this series in sigma notation: 5+9+13+17+21+ 25 + 29+ 33.

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Answer:

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Answer:

5+9+13+17+21+25+29+33=148

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Answer:

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Answers

Answer:

9. 1.24 mL

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Step-by-step explanation:

Question 9:

If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:

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0.01 * 124 = m

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To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):

0.15 * Total bill = Total tax payed for bill (Also can be written as [tex]\frac{15}{100} * 39.51[/tex])

                                 OR

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Examine the diagrams below. What is the angle pair
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Answers

Answer:

b

Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Suppose that J and K are points on the number line.
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Answers

Answer:

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Start at point J, -17:

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Answers

Answer:

The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.

Step-by-step explanation:

The sum of angles at the center of the circle = The sum of angles at a point = 360°

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Answers

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

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edge

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Answers

Answer:

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Find two consecutive odd integers such that seven times the first equals five times the second.

Answers

Answer:

Odd integers are always one more that an even integer:

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2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

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7x-5x=10

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5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

What are Integers?

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

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9. Whats is the equivalent fraction for 0.625

Answers

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.

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Answers

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Answers

Answer:

-45

Step-by-step explanation:

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Answers

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

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Answers

Answer:

Step-by-step explanation:

If you looking for square and square root:

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A number múltiple by 0.5 is 12.25. Find the number.

Answers

Answer:

24.5

Step-by-step explanation:

n0.5=12.25

n/0.5=12.25/0.5

n=24.5

Enter an inequality that represents the description, and then solve.
Dave has $9 to spend on a $6 book and two birthday cards (c) for his friends. How much can he spend on
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Answers

Dave buys the book for $6, that leaves him with $3, Dave has to buy two cards that each cost $1.5 at most in order to buy the same card for each friend.
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