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
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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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!
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
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 =
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.?
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
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?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
how many tens and ones are in the number 15
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 = .
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
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
[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!!!!!!!!!!!!!!!!!!!
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
w (x) = 2x-4; Find w(0)
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
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
Find the midpoint of (-9,3) and (6,-4)
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
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
Answer:
I
Step-by-step explanation:
J
Simplify: (3x^2-5x +9)+(7x^2+8x-5
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.)
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,
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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
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
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
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 ?
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
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
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 (,)
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
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
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.
simplify the following expressions ( use distributed property )
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]