Answers
Answer:
x = 22.5°
Step-by-step explanation:
m∠DEA = 2x
DE || AB
m∠EAB = 2x - by Alternate Interior Angles
Exterior angle = 6x, which equals 2x + 4x
m∠BEA = 4x
Exterior Angle 4x = 2x + 2x
m∠B = 2x
2x + 4x + 2x = 180°
8x = 180°
x = 22.5°
Exterior Angles of a Triangle:An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.
In this example, we know that 6x has remote angles of ∠EAB and ∠BEA
We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x
Sum of angles in a Triangle:The sum of all angles in a triangle is equal to 180°.
In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x
Since the sum of all angles = 180°:
8x = 180°
x = 180°/8
x = 22.5°
-Chetan K
Related Questions
The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen
Answers
Answer:
150 minutes
Step-by-step explanation:
Find the surface area. Enter the exact answer in simplest form.
Answers
Answer:
3024π square inches
Step-by-step explanation:
The surface area is the sum of ...
lateral area of the conelateral area of the cylinderarea of the circular baseThe relevant area formulas are ...
A = πrs . . . . . lateral area of cone with radius r and slant height s
A = 2πrh . . . . lateral area of cylinder with radius r and height h
A = πr² . . . . . area of a circle of radius r
The radius is half the diameter, so is (36 in)/2 = 18 in. When we add up these areas, we can factor out a common factor to simplify the expression a bit.
A = πrs +2πrh +πr²
A = πr(s +2h +r) = π(18 in)(30 in +2(60 in) +18 in) = π(18)(168) in²
A = 3024π in² . . . . surface area
Check the picture below.
so, to get the area of the object, we'll use the lateral area of a cone with a height of 30 and a radius of 18, and the lateral area of a cylinder with height of 60 and radius of 18, and sum those two up.
[tex]\stackrel{\textit{lateral area of a cone}}{\pi r\sqrt{r^2+h^2}}\implies \pi 18\sqrt{18^2+30^2}\implies 108\pi \sqrt{34} \\\\\\ \stackrel{\textit{lateral area of a cylinder}}{2\pi rh\implies 2\pi (18)(60)}\implies 2160\pi[/tex]
[tex]\stackrel{\textit{area of the bottom circle of the cylinder}}{\pi r^2\implies \pi 18^2\implies 324\pi } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total area of the shape}}{108\pi \sqrt{34}+2160\pi +324\pi ~~\approx~~9782.1115~~\implies ~~\stackrel{\textit{rounded up}}{\boxed{9782~~in^2}}}[/tex]12
Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?
Answers
Answer:
24
Step-by-step explanation:
Answer:
24 in the answer
Step-by-step explanation:
8 2/3 and 10 23/32 in its simplest form
Answers
multiply
1 1/2 x 1 1/4=______
Answers
Answer:
121/8
Step-by-step explanation:
Simply Multiply.
Hello there can you please help y
Answers
Answer:
5x + 28 = 7x - 4
2x = -32
x = -16
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the value of X?
Answers
Check the picture below.
Find the inequality represented by the graph
Answers
Answer:
y < 3/4 x
(We don't put another number at the end, if the y-intercept is 0, btw.)
Step-by-step explanation:
We know that the line has a positive slope, because it's going upwards to the right.
(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).
Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.
We also know that since the line is dotted, the sign will be either < or >.
And the shaded area below indictes that y is lesser than, meaning we use this sign <.
Hope this helps you :)
PleaseHelp! Easy math
Answers
2. X=5
3. 5/2
4. X=15
Answer:
1.x=12
6/12 divided by 3 for both denominator and numerator
2. x=5
2/10 divided by 3 for both denominator and numerator
5. x=60
60/100 divided by 20 for both denominator and numerator
Find out #3 for yourself
Step-by-step explanation:
QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.
Answers
Answer:
width: 6.5 mlength: 10 mStep-by-step explanation:
Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:
A = LW
65 = (2w-3)(w)
2w² -3w -65 = 0
(2w -13)(w +5) = 0 . . . . . . . factor
w = 6.5 . . . . . . . . the positive solution
2(6.5) -3 = 10 . . . the length of the rectangle
The width of the rectangle is 6.5 meters; the length is 10 meters.
Ava bought a new computer and is now
$249 in debt. How much money does
Ava have?
What does $0 represent in this problem?
Answers
Answer:
If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!
Step-by-step explanation:
(2a-1/3) / b/15 when a=-3/5 and b=-6.75
Answers
Answer:
4.148148149
Step-by-step explanation:
that's the answer
Step-by-step explanation:
2a-1/3 / b/15
[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format
Answers
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
Perpendicular Bisector Theorem
Answers
A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ
=》 PS = 3a
=》 PQ = a + 16
PS = PQ
3a = a + 16
3a - a = 16
2a = 16
a = 16/2
a = 8.
_______
RainbowSalt2222 ☔
Neeed helppppppppppppppppp
Answers
Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Answers
Answer:
1404.81
Step-by-step explanation:
1277.1 +127.71 = i read it wrong the first time sorry
The total amount paid to harry in past week, is 299.28.
What is amount?Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
To know more about amount on :
https://brainly.com/question/28244711
#SPJ2
Eli is deciding between two different movie streaming sites to subscribe to. Plan A costs $14 per month plus $2 per movie watched. Plan B costs $10 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Eli watches xx per month, and let B represent the monthly cost of Plan B if Eli watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.
put it on a graph
Answers
Hope this helps I really tried
By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.
How to get the cost equations?
We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:
C₁(x) = $14 + $2*x
Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:
C₂(x) = $10 + $3*x
Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.
In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.
While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
Answers
Answer:
True
Step-by-step explanation:
If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.
What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation
Answers
Step-by-step explanation:
[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]
[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]
[tex] = 4 \times {10}^{6} [/tex]
[tex] \: [/tex]
[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]
Answer:
[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]
[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]
[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]
[tex]↪4 \times {10}^{6} [/tex]
1 2/3 divided by 2 3/4
Answers
Answer:
20 / 33
Step-by-step explanation:
Brianlyest plz
(9x - 8 ) + (x + 10)+(x+2)
Answers
Answer: 11x+4
(simplify?)
Step-by-step explanation:
Remove parentheses.
9x−8+x+10+x+2
Add 9x and x
10x−8+10+x+2
Add 10x and x.
11x−8+10+2
Add −8 and 10.
11x+2+2
Add 2 and 2.
11x+4
Step-by-step-explanation:
Evaluate:
[tex]9x - 8 + x + 10 + x + 2[/tex]
Add the first two terms:
[tex]10 + 2 + x + 2[/tex]
Evaluate:
[tex]10x + x + 2 + 2[/tex]
Add the terms:
[tex]11x + 2 + 2[/tex]
Solution:
[tex]11x + 4[/tex]
ANSWER:
[tex]11x + 4[/tex]
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?
Answers
Answer:
Step-by-step explanation:
30F + 55S = 45(437.5)
30F + 55S = 19687.5
30F = 19687.5 - 55S
F = (19687.5 - 55S) / 30
30((19687.5 - 55S) / 30) + 55S = 19687.5
S = 0 (30%)
F = (19687.5 - 55S) / 30 (55%)
The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 42 in, find its area
Answers
Answer:
The first task in a word problem is to translate it into symbols.
First, give a name to each quantity:
Let w be the width of the rectangle
Notice the length = w+3
Let a be the area of the rectangle
Let p be the perimeter of the rectangle
Next, write down formulas relating the quantities
Step-by-step explanation:
a = w * (w+3)
p = 2w + 2(w+3)
We know p = 42, so
42 = 2w + 2(w+3)
im sure you know how to simplify and solve for w:
42 = 4w + 6
4w = 36
w = 9
now you’re ready to attack the area
a = w * (w+3) = 9 * (9+3)
can you take it from there?
dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?
Answers
Answer:
15 miles per hour
Step-by-step explanation:
12 miles per hour / 60 mins = 0.2 miles per minute
0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)
at to 2 minutes shes already 0.4 miles ahead of her brother.
he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15
his speed should be 15 miles per hour
La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad
Answers
Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.
From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:
C=125q + 13500
C = 125(270) + 13500
C = 33750 + 13500
C = 47250
In conclusion, the cost is 47250.
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Which one of the following statements about fractions is correct?
Question 9 options:
1/3 is an improper fraction.
9/7 is a proper fraction.
5/16 is a mixed number.
4/4 is equal to 1.
Answers
Answer:
4/4 is equal to 1 is the only one that's correct
Step-by-step explanation:
Answer:
4/4 and 1/3 are the correct statements
PLSSS I NEED HELP WITH MATH.
Answers
Answer:
Step-by-step explanation:
Natasha added 13/24 of the bag of soil more than Dina
Dina added 5/6 of the bag of soil
Natasha added 11/8 of the bag of soil
To solve this problem, we will subtract two fractions with unlike denominators.
to find the quantity of soil did Natasha add than Dina
= 11/8 - 5/6
LCM = 24
33/24 - 20/24
= 13/24
SORRY THAT ALL WHAT CAN I SLOVE
HELP WITH THIS PLS :)0000
Answers
Answer:
5 to 1 power
Step-by-step explanation:
Answer:
5^(15) or 5 to the 15th power
Step-by-step explanation:
When simplified, both equal to 305175..
Help plzdsadsadsadsdsa
Answers
Answer:
Step-by-step explanation:
9b²c² = (3bc)²
100m²n⁶ = (10mn³)²
I hope I've helped you.
what is the expression for 6 times the sum of y and 11
Answers
Answer:
6y+66
Step-by-step explanation:
