Explanation:
These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.
-------
Side notes:
Choice A is only true if we have a 90 degree angle at point XChoice B is never true because of the remote interior angle theoremChoice D is only true if we have an isosceles triangle with XZ = YZ.The correct statement is,
⇒ m ∠WXY + m ∠YXZ = 180°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
To find the correct statement.
Now, We can find the correct statement as;
By definition of linear pair we get;
⇒ m ∠WXY + m ∠YXZ = 180°
Thus, The correct statement is,
⇒ m ∠WXY + m ∠YXZ = 180°
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what is the answer to 18−(2x+1) = ???
Answer & Step-by-step explanation:
18 - (2x + 1)
Distribute the negative sign (-) to 2x + 1.
18 - 2x - 1
Put -2x in the beginning of the expression and combine like terms.
-2x + 17
So, the answer to 18 - (2x + 1) is -2x + 17.
Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB
Answer:
(D) [tex]\angle CAB[/tex].
Step-by-step explanation:
The diagram is attached below:
Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.
In the diagram:
[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.
The third angle is [tex]\angle BAF[/tex]
The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].
Therefore, the exterior angle of triangle ABF is [tex]\angle CAB[/tex].
Answer:
D
Step-by-step explanation:
Just took the test and got it right
An oil company fills 1/10
of a tank in 1/5, hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
10
10 hours
01
. 5 hours
10
.
1
10
hour
5
5-10 hours
Answer:
So if the company fills in 1/10 of a tank in 1/5 hour. We should multiply by 10
so that means that the tank will be 100% full because 10/10 = 100%
That also means we need to multiply it by 1/5. 1/5*10 = 10/5.
Therefore we get 2 hours.
Thanks for the question. I am working my way up to brainliest and and Master Answerer
Step-by-step explanation:
What is 6 divided by 2
Answer:
3
Step-by-step explanation:3x2=6
Someone please help me! I need this done ASAP
Answer: ill try to do #3 for you
A. money= dependent (depends on days)
days= independent
B. im guessing its this: m=250d
C. $250x 10 days= $2,500 he will need to save
also #4 is y-2x-2
if this is all correct could u mark my answer brainliest if you want to thanks!
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
So it will take the stone 1 (one) second to reach its maximum height.
Step-by-step explanation:
Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:
[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]
where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.
Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.
So it will take the stone 1 (one) second to reach its maximum height.
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Answer:
B,Friday
Step-by-step explanation:
4 to 9 is 5 hours,the total hours for the week is 32.5 hours
A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi.
Answer:
Step-by-step explanation:
Surface area of sphere = 125 sq.ft
4πr² = 125
4*3.14*r² = 125
[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]
r = 3.15 ft
Answer:
631 feet
Step-by-step explanation:
125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.
What is the mid point of the segment shown below please help
What’s the answer to this question?
Answer:
The answer is
The first one, the second one and the last one.
Hope this helps.
I need this for my notes so i can know what to do. What is the length of AC? And Length of AB?
Answer:
AC 5
AB = 3
Step-by-step explanation:
AC = distance between the points
C-A = 3 - -2 = 3+2 = 5
The distance is 5
AB = distance between the points
B-A = 1 - -2 = 1+2 = 3
The distance is 3
Answer:
AC = 5
AB = 3
Step-by-step explanation:
AC:
3 - X = -2
3 - 5 = -2
AB:
1 - X = -2
1 - 3 = -2
A healthy human body is approximately 18% carbon by weight. Determine how many pounds of carbon a body weighing 200 lbs contains. How many kilograms would that be? Use 0.454 kg equals 1 lb in your conversion. A. 440 lb. Of carbon; 16 kg of carbon b. 36 lb. Of carbon; 79 kg of carbon c. 36 lb. Of carbon; 16 kg of carbon d. 440 lb. Of carbon; 79 kg of carbon
Answer:
c. 36 lb. Of carbon; 16 kg of carbon
Step-by-step explanation:
An healthy body is approximately 18% carbon by weight. To determine how many pounds of carbon a body weighing 200Ibs contain can be gotten below.
A healthy person has approximately 18% carbon by weight. Therefore, the number of pounds of carbon for a person weighing 200 Ibs is
pounds of carbon = 18/100 × 200
pounds of carbon = 36 Ibs
According to the question the weight should be in kg.Therefore, we have to convert using the conversion rate you highlighted.
1 Ib = 0.454 kg
36 Ibs = ? kg
cross multiply
weight of carbon in kg = 0.454 × 36
weight of carbon in kg = 16.344 kg
weight of carbon in kg ≈ 16 kg
True or false: the set of whole numbers is equal to the set of natural numbers
Answer:
False
Step-by-step explanation:
This statement is false.
The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}
We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}
Answer:
false
brainliest to me!
Step-by-step explanation:
0 is a whole number but not a natural number so its false!
if f(x)=x+3 g(x)=2x+6 find (f+g)(x)
Answer:
3x + 9
Step-by-step explanation:
For value of (f+g)(x) add two functions up
x + 3 + 2x + 6 = 3x + 9
A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15
Answer: 15
Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.
Answer:
15
Step-by-step explanation:
took the test on EDGE
The price of a train ticket consists of an initial fee plus a constant fee per stop. The table compares the number of stops and the price of a ticket (in dollars). What is the initial fee?
Answer:
Initial Fee is $2.
Step-by-step explanation:
Susan Marciano invested part of her 28,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 2,410
Answer:
amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.
Step-by-step explanation:
Let x be the amount invested in funds that earned 10%.
Then the amount invested in stock that suffered 3% loss is 28,000 - x.
The profit from investment in funds is 10%x
The loss from investment in stock is 3%(28,000 - x).
The net profit is 10%x - 3%(28,000 - x).
As the net profit given in the problem is $2410, we have:
10%x - 3%(28,000 - x) = 2410
Solving for x, we have:
10x - 3(28,000 - x) = 241000 (multiply both sides by 100)
10x - 84000 + 3x = 241000
13x = 241000+84000
13x = 325000
x = 325000/13
x = 25,000
So
the amount invested in funds that earned 10% is $25,000.
the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.
2(x+1)+3x=37 *what is x??
2(x+1)+3x=37
simplifythe left side:
2x +2 +3x = 37
Combine like terms:
5x +2 = 37
Subtract 2 from both sides:
5x = 35
Divide both sides by 5:
x = 7
Answer:
x=7
Step-by-step explanation:
2(x+1)+3x=37
Distribute
2x+2 +3x = 37
Combine like terms
5x+2 = 37
Subtract 2 from each side
5x+2-2=37-2
5x = 35
Divide by 5
5x/5 = 35/5
x=7
Use synthetic division to solve [tex]\frac{3x^{4} +6x^{3} +2x^{2} + 9x + 10 }{x+2}[/tex]. What is the quotient?
A basket has at most 150 applies in it. Then the number of apples in the basket if the number of apples satisfy the following conditions If counted in pairs, one remains; If counted in threes, two remains; If counted in fourss, three remains; If counted in fives, four remains; If counted in sixes, five remains; If counted in sevens, nothing remains; (A) 116 (B) 117 (C) 118 (D) 119
Answer:
Number of apple = 119
Step-by-step explanation:
Given
[tex]Max_{Apple} = 150[/tex]
Required
Find the actual number of apples;
When counted in any numbers, the number being counted is the divisor;
Take for instance, when counted in pairs, the divisor is 2
When counted in threes, the divisor is 3
and so on...
So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor
This means that the number of apple must satisfy the following conditions
Less than 1501 less than the Common Multiple of 2,3,..,6Divisible by 7The common multiple of 2,3,..6 are 60, 120 ,180,240.....
Recall that, these multiples must satisfy the three conditions above;
1. Less than 150: Only 60 and 120 satisfy condition.
At this point, we'll discard other numbers (180,240,300.....)
2. 1 less than the Common Multiple of 2,3,..,6:
1 less than 60: 60 - 1 = 59
1 less than 120: 120 - 1 = 119
3. Divisible by 7
At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;
[tex]\frac{59}{7} = 8.42857142857[/tex]
[tex]\frac{119}{7}=17[/tex]
The results of these division shows that 59 is not divisible by 7;
Hence, the actual number of apple is 119
Number of apple = 119
Look at the graph What is slope of the line
Answer:
You didn't insert the/a file
Step-by-step explanation:
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12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answer:
C) Intersecting
Step-by-step explanation:
happy to help ya:)
Answer:
Is thier an answer that you can put as Perpindicular because that should be the right answer
Step-by-step explanation:
Perpendicular lines are two lines that intersect and form right angles
Can someone pls help me solved this problem plz! I really need help plz someone help me solved it! I need help ASAP!
Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
Lucky's Market purchased a new freezer for the store.
When the freezer door stays open, the temperature
inside rises. The table shows how much the
temperature rises every 15 minutes. Find the unit rate.
temperature (°F) =10
number of minutes =15
°F per minute
Answer:
1/3 degreees/min
Step-by-step explanation:
In 15 min, temp. rises by 10 degrees
This means that 10 degrees / 15 min = 2 deg / 3 min
1/3 degree/min
The unit rate of change in °F per minute is 0.667°F/ min .
What is an Equation ?An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.
It is given that
The rate of increase of temperature with increasing time is given
The unit rate of change in °F per minute has to be determined .
In 15 minutes , the temperature changes by 10°F
The rate of unit change is 10 / 15 = 0.667
20/30 = 0.667
40/60 = 0.667
Therefore the unit rate of change in °F per minute is 0.667°F/ min .
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A vendor pays a rock band 13 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?
1/3 of the profits is $1632 * 1/3 which would equal, $544
so 726- 544= $182 sweatshirt sales
but we're looking for 1/3 of sweatshirt sales, so
3 * 182 = $546 and that's your answer
Answer:
"ill get back to you on that lol"
Step-by-step explanation:
PLEASE HELP!!!!!! PLEASE
Answer:
C
Step-by-step explanation:
A<B<D do not make sense
For questions 1 - 2, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. Y=- cosx 2. Y = sin x+1
Answer:
See attachment.
Step-by-step explanation:
See attachments.
how can you find dictance between points and cordinte plances
Answer:
Distance = [tex]\sqrt{(x^{2}-x,)^{2} +(y^{2} -y,)^{2}[/tex]
Someone who knows what they doing
Answer: 25.12 and 12.56
Step-by-step explanation:
in the formula, you will notice that you are trying to identify the base(b) and calculate the volume(V). and they are written at the top of the page, 12.56 cm^2 and 25.12cm^3. so the missing things are 25.12 and 12.56.
What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
Answer:
x= 4 y = -1
(5,-1)
Step-by-step explanation:
x + y = 4 x − y = 6
Add the two equations together to eliminate y
x + y = 4
x − y = 6
---------------
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
Now find y
x+y = 4
5+y = 4
Subtract 5 from each side
5+y-4 = 4-5
y = -1
Answer
5,-1
Step-by-step explanation:
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