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 = °
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°.
Learn more about the Supplementary angles here: https://brainly.com/question/13045673?referrer=searchResults
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Help me with this please
three over twenty times eight
[tex]\text {Hi! Let's Solve this Problem!}[/tex]
[tex]\text {So the problem we have here is 3/28*8}[/tex]
[tex]\text {We see that 8 is by itself. So we add a 1 underneath 8.}[/tex][tex]\text {So 8 is the numerator and 1 is the denominator.}[/tex]
[tex]\text {Now we Multiply:}[/tex]
[tex]\text {3*8=24}\\\text {20*1=20}[/tex]
[tex]\text {Your answer would be:}[/tex]
[tex]\fbox {24/20}[/tex]
[tex]\text {You can Simplify that by dividing 4 which gets you}[/tex]
[tex]\fbox {6/5}[/tex]
[tex]\text {Now we convert that Improper Fraction to a Mixed Number}[/tex]
[tex]\text {Your final answer would be:}[/tex]
[tex]\fbox{1 1/5}[/tex]
[tex]\text {Best of Luck!}[/tex]
Sari estimated the quotient of 120.78 ÷ 9.9 to be 12. She said that her estimate is slightly greater than the actual answer. Is she correct? Is her estimate reasonable? Explain.
Answer:
Yes, her estimate is greater than the actual answer. 120.78/9.9 = 12.2. Since 12.2 (the actual answer) is greater than her estimate of 12, she is correct.
Step-by-step explanation:
See Answer.
Answer:
yo
Step-by-step explanation:
Sari had a good estimate for the problem. But she was not correct in saying that her answer was slightly greater than the actual answer. The rounded dividend, 120, is slightly less than 120.76, and the rounded divisor, 10, is slightly greater than 9.9, so the estimate would be less than the actual quotient.
this was the sample
MATH please answer
please answer
Answer:
you can fit 1000 hairs in 10 cm
Step-by-step explanation:
[tex]10^2= .01[/tex]
[tex].01*1000 = 10[/tex]
2x+y = 43
(2x+24-30)-2
A. 28
B. 24
C. 20
D. 18
E. 16
Answer: A
Step-by-step explanation:
If mLP = (19x - 5) and x = 4, find mLP and classify the angle.
mLP = ?
Classify the angle.
Acute
Right
Obtuse
Straight
A square has a side length of 9 what is the area
Answer:
The area is 81 square feet
Step-by-step explanation:
To find the area of a square, you do side*2, and 9*9=81
A bookshelf at a library holds 156 books. There are 15 bookshelves in the children's
section. How many children's books can the library place on the bookshelves?
Answer:
10
Step-by-step explanation:
i just divided the two
Answer:
2,340
Step-by-step explanation:
Write the expression in radical form. [tex](36x)\frac{1}{2}[/tex]
3b+4-1b+3 what is the answer please help
Answer:
2b +7
Step-by-step explanation:
We assume you want to simplify this expression. It can be helpful, though is not required, to group like terms near each other.
= 3b -1b +4 +3
= b(3 -1) +(4 +3) . . . combine like terms
= 2b +7
Find the value of x. Then find the missing angle measures of the polygon
110°
5x
2x
Sum of angle measures: 180°
X=
5x=
2x=
Pls help due today
Answer:
x=10
5x=50
2x=20
Step-by-step explanation:
110+5x+2x = 180 combine like terms and move the constants to the same side
7x=70
x = 10
5(10) = 50
2(10) = 20
Sean sells chicken coops for $450 each plus a $100 delivery fee. The table below represents this situation. Total Cost Number of Coops 1 2 $550 $1,000 $1,450 $1,900 3 4 Which of the following represents the y-intercept of the graph of this situation? A 500 B 100 с 450 D 550
Answer:
100
Step-by-step explanation:
Got it right on test
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
for a rectangle to be called a square with 4 sides must be equal
for rectangle to be called a square its four angles must be equal.
Answer:
all parallel sides are the same lengths
all angles are 90°
Step-by-step explanation:
We know that the square has the definition of an object or plane that has all the four sides of equal length,
And all the angles related to the sides are also same. (all angles are 90°)
Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.
Solve.
h + 14 = -14
h =
Answer:
h= -28
Step-by-step explanation:
h+14=-14
-14 -14
h= -28
4. Order the set of numbers from least to greatest: (4 points)
5
6
-5,
5.-26
31
6
O
31
6
.- 26, -5,
-5. -
6
O 5
6'
31 -126
-5,
6
O -126
31
5
6
O 5
6'
-5, -√26,
31
6
Answer:
Sorry to waist your time but no one would know this not even the person who made the question.
Step-by-step explanation:
Need help asap please! Thanks!
the wavelenght of voilet light in a spectrum
Answer: Violet light is at the higher end of the visible spectrum, with a wavelength ~380-450 nanometers.
Step-by-step explanation: Please mark Brainliest!
Please help me, explain
Answer:
C) 3x=54
Step-by-step explanation:
Angle ABD is a straight angle, which means it measures 180 degrees.
Angles ABC & CBD are linear pairs. (The two of them add up to 180°)
ABD is a right angle (90 degrees)
The straight angle (180) minus the right angle (90) equals 90 degrees.
x+2x+2x=90°
Combine like terms
5x=90°
divide by 5 on both sides
x=18
18×3=54
C
Hope this helps :-)
Which are equivalent ratios to 7:13?
Check all that are true.
D 21:39
72:128
28:52
14:26
36:48
The area of a square is 215 square cm. Find the length of a side to the nearest tenth. Find its perimeter.
Answer:
Length of side = 14.7 cm
Perimeter = 58.7 cm
Step-by-step explanation:
Find the root of 215 to find the side length.
It is about 14.7 cm.
Then, multiply the length of the side by 4 to find the perimeter.
Can someone please help me (it’s question 15)
Answer:
C
Step-by-step explanation:
What is the distance between points (5,0) and (2, 1) to the nearest tenth?
Help !
Answer:
5
Step-by-step explanation:
Which graph represents a function?
4 Apoint Q with coordinates of (8. 6) is reflected across they axis. What is the new
Coordinate
Answer:
8. -6
Step-by-step explanation:
Solve the polynomial by graphing. Round to the nearest tenth.
3x^5-8x^4+2x^3+5x^2-2x+1=0
given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
3 divided by 64,126
Answer:
00.00004678289
Step-by-step explanation:
10. Model with mathematics. The flow rate on the Otter River Run can
vary up to 90 gallons per minute from the target flow rate of 640 gallons
per minute. Write and solve an absolute value equation to find the
extreme values of the flow rate on the Otter River Run.
Answer:
Extreme Flow Rates = 730 gallons per minute | 550 gallons per minute
where,
Maximum Flow Rate = 730 gallons per minute
Minimum Flow Rate = 550 gallons per minute
Step-by-step explanation:
The extreme values of a quantity are the minimum and the maximum acceptable values of that quantity. These values can be found by adding and subtracting the allowed variation from the target value, for maximum and minimum value, respectively. Therefore:
Extreme Flow Rates = Target Flow Rate ± Allowed Variation in Flow Rate
Extreme Flow Rates = 640 gallons per minute ± 90 gallons per minute
Extreme Flow Rates = 640 gallons per minute + 90 gallons per minute | 640 gallons per minute - 90 gallons per minute
Extreme Flow Rates = 730 gallons per minute | 550 gallons per minute
where,
Maximum Flow Rate = 730 gallons per minute
Minimum Flow Rate = 550 gallons per minute