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°.

Learn more about the Supplementary angles here: https://brainly.com/question/13045673?referrer=searchResults

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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

Related Questions

A. $35.00
B. $55.00
C. $70.00
D. $75.00
Luke opened a savings
account with a balance of
$0.00 and deposited $20.00.
During the next 2 weeks, he
made two more deposits for
$15.00 and $35.00. At the end
of the month, he made a
withdrawal that brought his
balance back to $0.00.
Assuming no interest was
earned, how much money
did Luke withdraw from his
savings account?
Students, draw anywhere on this slide!

Answers

Answer:

D, $75.00 because 35 plus 15 plus 20 is 75.

The midpoint of AB is M=(-2, 1). One endpoint is A=(-8, 7).
Find the coordinates of the other endpoint, B.



PLEASE HELP ME

Answers

Answer:

B(4, -5)

Step-by-step explanation:

A(-8, 7)

M(-2, 1)

B(x, y)

x-coordinate:

(-8 + x)/2 = -2

-8 + x = -4

x = 4

y-coordinate:

(7 + y)/2 = 1

7 + y = 2

y = -5

B(4, -5)

Solve the equation.

6x = 5x + 22

x =

Answers

Answer:

x=22

Step-by-step explanation:

6x= 5x+22

6x-5x=22

x=22

Answer:

x = 22

Step-by-step explanation:

6x = 5x + 22

Subtract 5x from both sides.

x = 22

Morris borrowed $6 from his mother. so far, he has repaid $4. if debt is represented as a negative number, what number sentence shows the amount of jack's remaining dept.?

Answers

if it was negitive I would be -2

Step-by-step explanation:

so 6-4=2 and if you make that negative it would be -2

Answer:

-$6 + $4 = -$2

Step-by-step explanation:

Since Morris borrowed 6 dollars to begin with, the first term in my equation is -6$, representing the debt he has incurred from taking a loan of 6 dollars from his mother. After paying $4 dollars, he would still be in debt of $2 to his mother. Since he is still in debt of 2 dollars, the furthest right term in my aforementioned equation is -$2.

Help pls I'm running out of points & brain cells lol T^T

Answers

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

Answer:

-4.7

Step-by-step explanation:

I just went by trial and error till the answer ended up being 0.6. I know that there's a actual way to solve this mathematically, but that's how I did it in school, and so far, I haven't been yelled at for it. Hopefully this was semi-helpful.

If you can solve 3 problems every 5 minutes on a math test, a) how many problems can you solve in 90 minutes?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

how many tens and ones are in the number 15

Answers

1 ten and 5 ones :D right?

Given the function y= 2x if x>0 x−3 if x≤0 . Find its values for x=1; 3; 0; −2. Answer: If x = 1, then y = . If x = 3, then y = . If x = 0, then y = . If x = −2, then y = .

Answers

Answer:

Step-by-step explanation:

Given the function y= 2x if x>0 and x−3 if x≤0, to find the value of the function for x = 1, we will substitute x = 1 into the function y = 2x since x>0 at that point.

If x = 1;

y = 2(1)

y = 2

Hence when x = 1, y = 2

If x = 3, we will still use the function y = 2x since 3 is still grater than 0 satisfying the condition x>0.

y = 2(3)

y = 6

Hence when x = 3, y = 6

when x = 0, since x is zero, we will substitute x = 0 into the function x-3 because x≤0 at this point.

If y = x-3

y = 0-3

y = -3

Hence when x = 0, y = -3

when x = -2, we will substitute x = 0 into the function x-3 because -2 is also less than zero

If y = x-3 for x≤0

y = -2-3

y = -5

Hence when x = -2, y = -5

Name this angle in three different ways

Answers

Angle LMN

Angle NML

Angle M

These are the only ways to name this angle

Answer:

Angle NML, LMN, and the angle created by rays MN and ML intersecting at point M.

Step-by-step explanation:

The first two ways are just the points in order. The third can be written in multiple ways but I believe this one is quite explanatory.

-5x + 3 = 8x + 9 – 3

Answers

[tex]\text {Hi There! The answer to your problem is}[/tex]

[tex]\fbox {x=-3/13}[/tex]

[tex]\text {Your 1st Step will be to Simplify the Equation}[/tex]

[tex]\text {-5x+3=8x+9+-3}[/tex]

[tex]\text {-5x+3=(8x)+(9+-3) (Combine Like Terms)}[/tex]

[tex]\text {-5x+3=8x+6}[/tex]

[tex]\text {The Next Step is to Subtract 8x}[/tex]

[tex]\text {-13x+3-3=6-3}[/tex]

[tex]\text {-13x=3}[/tex]

[tex]\text {The Final Step is to Divide by -13}[/tex]

[tex]\text {-13x/13=3/-13}[/tex]

[tex]\text {x=-3/13}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

I WILL GAVE BRAINLIEST!!!!!!!!!!!!!!!!!!!

Answers

Answer:

31

Step-by-step explanation:

Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.

Step 1: Combine like-terms.

2x + 118 = 180

Step 2: Subtract 118 from both sides to isolate the variable.

2x = 62

Step 3: Simplify

x = 31

x=3 (-3x-4)-6x. if x=3

Answers

-31 is the answer because you would do (-3(3)-4) then subtract -6(3).
(-9-4)-18=-31

w (x) = 2x-4; Find w(0)

Answers

Answer:

  w(0) = -4

Step-by-step explanation:

Put 0 where x is and do the arithmetic.

  w(0) = 2·0 -4

  w(0) = -4 . . . . . . . simplified

What is the quotient? Negative StartFraction 4 over 5 EndFraction divided by 2

Answers

Answer:

B

Step-by-step explanation:

It just is

Answer:

Its b

Step-by-step explanation:

I just took the test. Hope this helps <3

I'm really confused about this question,
-(q+7) = -6q + 8​

Answers

to solve, first distribute your negative on the left side.

-(q+7) -> -q-7

now, just balance out both sides by first adding your left q to your right q’s

-q-7 = -6+8
+q +q

-7 = -5q + 8

then, subtract your 8 from both sides

-7 = -5q + 8
-8 -8

-15 = -5q

finally, just solve for q by dividing both sides by -5

-15 = -5q
/-5 /-5

3 = q

Find the midpoint of (-9,3) and (6,-4)

Answers

Answer:

Midpoint (xM, yM)  =  (-1.5, -0.5)

Step-by-step explanation:

angie read 3 books in 5 days and each book contains 410 pages if angie reads if angie read the same number of books each day how may pages did she read a day
a.90
b.410
c.1,230
d.246

Answers

Answer:

D-246 pages.

Step-by-step explanation:

To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.

ANSWER 246

410*3(books)=1230 /5(days) =246


what is the length of EG

Answers

Answer:

I

Step-by-step explanation:

J

Simplify: (3x^2-5x +9)+(7x^2+8x-5

Answers

Answer:

=10x2+3x+4

Step-by-step explanation:

I hope this helps you

Answer:

10x^2+3x+4 should be the correct answer

The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9. Find the height and width of a 51-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)

Answers

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

Width = 44.45 inches

Height = 25.00 inches

I think this is right

The width and height of the given TV screen will be 44.45 inches and 25.00 inches.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

The length of any TV is measured diagonally.

So,

Diagonal = 51 inches

Now the ratio is ;

W/H = 16 / 9

Let's say both are fractions of x

So,

Width = 16x , Height = 9x

By Pythagoras theorem,

(16x)² + (9x)² = 51²

256x² + 81x² = 2601

337x² = 2601

x² = 7.718

x = 2.778

So width = 16(2.778) = 44.45 inches.

And height = 9(2.778) = 25.00 inches

Hence "The width and height of the given TV screen will be 44.45 inches and 25.00 inches".

For more about rectangles,

https://brainly.com/question/15019502

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Faith is driving to a concert and needs to pay for parking. There is an automatic fee of
$7 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $2 for every hour she had her car in the lot. How much total money would
Faith have to pay for parking if she left her car in the lot for 3 hours? How much
would Faith have to pay if she left her car in the lot for t hours?
Cost for 3 hours:
Cost for t hours:
Submit Answer
attempt 1 out of 2
N]
Ri

Answers

Answer: 13

Step-by-step explanation:

cost for 3 hours: 7+2(3)=13

cost for t hours: 7+2t

Every month, Carmine's savings account pays 0.049% interest on the amount in the account. If
she has $1,100.00 in the account at the beginning of the month and doesn't withdraw any of it,
what will be the interest payment for this month?

$53.90

$49.00

$0.54

S0.49

Answers

Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

plz help 30 points
3(x+2)=18
please solve for x

Answers

In 3(x+2)=18,  X=4

Divide both sides by the numeric factor on the left side, then solve.

The whole numbers are the set of what numbers and zero ?

Answers

Answer:

An integer number is one that can be written without using fractions or decimals, and it is an expression of ( 1.2.3..... ) and 0, and negative numbers (- 1-2-3...... )

Factor. x^2-11xy-12y^2

Answers

Answer:

(x-12y)(x+y)

Step-by-step explanation:

Write an  equation of the line that passes through please (2, -2) and is parallel to line y=3x+9

Answers

Answer: y=3x-8

Step-by-step explanation:

To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.

y=3x+b

We can use the given point to find the y-intercept.

-2=3(2)+b             [multiply]

-2=6+b                  [subtract both sides by 6]

b=-8

Now that we have found the y-intercept, we can finish our equation.

y=3x-8

find the location of A' given that A is (3,7) reflect across the x-axis the location of A' is (,)​

Answers

Answer:

A' (3, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , thus

A(3, 7 ) → A'(3, - 7 )

Help me plz I don't understand this

Answers

Answer:

D. [tex]y = 2x[/tex]

Step-by-step explanation:

A proportional relationship is represented by the formula [tex]y = mx + b[/tex].

m = the slope, which is  [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex].

b = the y-intercept, the point where the line crosses the y-axis. We actually don't have to worry about the [tex]+ b[/tex] part of the formula because [tex]b = 0[/tex], so it can be left out.

To find the slope, use [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]. Subtract the smaller y value (2) from the larger y value (6).

(6 - 2 = 4)

Then subtract the smaller x value (1) from the larger x value (3).

(3 -  1 = 2)

So it looks something like this now:

[tex]\frac{6-2}{3-1}[/tex] , which equals [tex]\frac{4}{2}[/tex]

Then you divide the top part of the fraction (4) by the bottom part. (2).

[tex]\frac{4}{2}[/tex] = 2. The slope (m) is 2.

So the final equation is [tex]y=2x[/tex].

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

16

Step-by-step explanation:

I counted each of the cubes and got 64.

Then I divided it by 4 since you need to divide it be 1/4.

once I divided 4 for 64 I got 16.

You have to multiply 2x4x8 which is 64. Divide 64 by 4 and thats 16. The answer is 16.

simplify the following expressions ( use distributed property )

Answers

Answer:

ax + ab

Step-by-step explanation:

Step 1: Write expression

a(x + b)

Step 2: Distribute a to each term

ax + ab

[tex]\huge\boxed{Hello!}[/tex]

The Distributive Property states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

a(x+b)

ax+ab

This is our final answer.

[tex]\huge\boxed{\bf{Hope\;it\;helps!}}[/tex]

[tex]\huge\bold{Good\;luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

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