Answers
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
Related Questions
Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar. Kareem served 2 times as
many orders as Lamar. How many orders did they each serve?
Answers
Answer:
Jessica: 10 orders
Lamar: 18 orders
Kareem: 36 orders
Step-by-step explanation:
Let's first designate each person with a letter.
The number of orders served by Jessica can be designated as [tex]J[/tex]
The number of orders served by Kareem can be designated as [tex]K[/tex]
The number of orders served by Lamar can be designated as [tex]L[/tex]
We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.
[tex]J+K+L=64[/tex]
We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.
[tex]J = L-8[/tex]
Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].
[tex]K = 2L[/tex]
With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,
[tex]J+K+L=64[/tex]
with their values expressed as a subtraction or multiplication of [tex]L[/tex].
[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].
[tex]J+K+L=64[/tex]
With substitutions:
[tex](L-8) + 2L + L = 64[/tex]
We can simplify this by combining the L-terms:
[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]
Next, we'll add 8 to both sides.
[tex]4L = 72[/tex]
Divide both sides by 4:
[tex]L = 18[/tex]
Thus, Lamar served 18 orders.
Using our expressions, we can find how many orders the others served.
Jessica:
[tex]J = L-8\\J = 18 -8\\J = 10[/tex]
Jessica served 10 orders.
Kareem:
[tex]K = 2L\\K = 2*18\\K = 36[/tex]
Kareem served 36 orders.
The linear parent function is always (increasing/decreasing).
Answers
Answer:
I'm pretty sure it's increasing
Step-by-step explanation:
because the linear parent function is x=y, no negative signs
Answer:
Increasing
Step-by-step explanation:
4 gallons of chocolate milk how many bottles if 2 pints per bottle.
Answers
Answer:
there are 32 bottles needed
Step-by-step explanation:
Thanks
If a+b>a−b, which of the following must be true?
(A) a>b
(B) a=b
(C) a 0
(E) b > 0
Answers
Hi
a+b > a-b
<=> a+b-a = b > a-b-a=-b ** subtract a **
<=> b+b > 0 ** add b **
<=> 2b > 0 ** divide by 2 **
<=> b > 0
so (E) is the right answer
Thanks
−6.5(n−5)=18.2 what is the value of n?
Answers
Answer: The value of n is 2.2
Step-by-step explanation:
If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).
Answers
Answer:
-1
Step-by-step explanation:
g(1) = -2*1^2 - 4*1 + 5
What is equivalent to (r^-7)^6
Answers
Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.
Answers
[tex]\sqrt5[/tex]Answer:
Sin^2 x + Cos^2 x = 1
Sin^2 x = 1 - 4 / 9 = 5 / 9
Sin x = [tex]\sqrt5[/tex] / 3
Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex] / 3) / (2 / 3) = [tex]\sqrt5[/tex] / 2
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
Plzzzzzz hellp
Pllllzzzz
Answers
Answer:
Maggie is 7 years old
Step-by-step explanation:
Attached is an image that explains the question. Hope this helps!
At the Last Chance Filling Station, gas costs $1.60 a gallon. Trevor paid $32.00 to fill his tank. How many gallons of gas did he buy? a. Write an algebraic equation that represents the scenario. b. Solve to find the solution.
I know it’s 32/1.60=20 gallons
But how do you write the algebraic expression?
Answers
Answer:
1.60x=32.00
Step-by-step explanation:
Since you do not how much gallons of gas he bought you would use the variable x.
Answer:
1.60x=32
Step-by-step explanation:
Final question, solve this equation and show work! Worth 20 points
Answers
Answer:
[tex]n=5/2[/tex]
Step-by-step explanation:
We have the equation:
[tex]5^{2n-2}=125[/tex]
Notice that 125 is the same as 5³. So:
[tex]5^{2n-2}=5^3[/tex]
Since they have the same base, the exponents must be equal. Therefore:
[tex]2n-2=3[/tex]
Solve for n. Add 2 to both sides:
[tex]2n=5[/tex]
Divide both sides by 2:
[tex]n=5/2=2.5[/tex]
So, the value of n is 5/2.
And we're done!
Answer:
N = 2.5
Step-by-step explanation:
Ok, so try this.
125 is 5^3, right?
And in this equation, we have 5 to the power of 2n-2 is equal to 125.
You need to make sure that the exponent ends up as 3.
How would you do this?
Try substituting N for 3.
That's too big.
Try Substituting N for 2.
That's a bit too small.
What number is in between 2 and 3?
2.5 is.
N = 2.5
Check your work, and see if you came up with the same answer
Work:
2.5 x 2 = 5
5 - 3 = 2
5^3 = 125
Please help with is !!!!!!!!
Answers
The gift box is 10 cm x 12 cm x 3 cm what is the volume of the box
Answers
Answer:
volume = L*B*H
Step-by-step explanation:
SO,
Volume of the box = L*B*H
OR, Volume of the box = 10*12*3
thus, Volume of the box =360
250 people went to a “couples only” party at 9pm. 70 people left at 11pm, how many couples stayed at the party?
Answers
Answer:
80
Step-by-step explanation:
4617 divided by 23 as a mixed number
Answers
Explanation: I hope this helps!!!!
Answer:
200 17/23
Step-by-step explanation:
Mathxway.....
A hot air balloon was rising at a rate of 474 feet per minute (ft/min). convert this speed to meters per second (m/s).
Answers
b. The 100th term of 60, 110, 160, ... is (Simplify your answer.) How to do this?
Answers
The 1st term is 60.
Add 50 to this to get the 2nd term, 60 + 50 = 110.
Add 50 to that to get the 3rd term, 110 + 50 = 160.
Add 50 to that to get the 4th term, 160 + 50 = 210.
And so on...
Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.
In the 3rd, we ultimately added 2 copies of 50 to the 1st term.
In the 4th, we added 3 50s.
And so on... If the pattern continues, then the n-th term can be obtained by adding (n - 1) copies of 50 to the first term.
So, the 100th term is
60 + (100 - 1) * 50 = 5010
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.
Answers
Answer:
Step-by-step explanation:
Answer:
The answer is 35%
what type of number is 18.62?
Answers
that is a rational number.
What is the cardinal number of the set C={0,5,−4,25,103,56}
Answers
Answer:
I wanna say its Hence n (Q) =7
I may be mistaken
Answer:
6
Step-by-step explanation:
The set is made up of 6 elements. Therefore, the cardinal number is 6.
solve the equation by factoring. (z^2 - z - 6 = 0) a. z = –2 or z = 3 b. z = 2 or z = 3 c. z = –2 or z = –3 d. z = 2 or z = –3. (50 POINTS PLEASE HELP)
Answers
Answer: (z + 2)(z - 3)
Step-by-step explanation:
First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:
(z - 3)(z + 2).
Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.
Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.
Find the difference of 6/7 minus 1/14
Answers
Answer:
11/14
Step-by-step explanation:
Answer:
11/14
Step-by-step explanation:
Convert to common denominator then subtract the numerator
Can you help me solve this
Answers
Step-by-step explanation:
What are Two figures that are proportional in size
Answers
James completed 18 math problems,This is 30% of the problems he has to do.How many math problems must he do?
Answers
Answer:
60
Step-by-step explanation:
percentage=18
rate=30%
base=_____
p/r=b
18/0.30=60
Answer:
60
Step-by-step explanation:
18=30%
6=10%
6x10=60
10x10=100%
Help pleaseeee!!
-4x - 3x^2 + 6 - 9x^2
Answers
Answer:
The answer would be -12x^2-4x+6
Step-by-step explanation:
This is the simplest form it could get since you subtract the two x^2 together.
Every morning for the past 12 days Beth used 2/3 of a cup of milk on her cereal to determine how much milk she used in total she set up the equation 2/3x12
Answers
Answer:
8
Step-by-step explanation:
2/3*12=24/3=8
easy way:
2/3*12/1=24/3=8
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. Find dR/dM. This derivative, as a function of M, is called the sensitivity of the body to the medicine.
Answers
Answer:
The derivative is [tex]\frac{dR}{dM} = CM - M^2[/tex]
Step-by-step explanation:
From the question we are told that
The equation representing the reaction is [tex]R = M^2 (\frac{C}{2} - \frac{M}{3} )[/tex]
Generally this equation can be represented as
[tex]R = \frac{C M^2}{2} - \frac{M^3}{3}[/tex]
Generally [tex]\frac{dR}{dM}[/tex] as a function of M is mathematically represented as
[tex]\frac{dR}{dM} = 2 * \frac{C M^{2 - 1 }}{2} + 3 * \frac{M^{3-1}}{3}[/tex]
=> [tex]\frac{dR}{dM} = CM - M^2[/tex]
Help quick
(7u2+21u)÷(u+3)
Answers
Answer: it should be 11.infinite 6
Step-by-step explanation:7x2=14+21=35
35/3 = 11.infinite 6
So basically 11.6
A bag contains a collection of distinguishable marbles. The bag has three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.
How many sets of four marbles include exactly two green marbles? (Note that this means there must be two other non-green marbles as well).
Answers
Answer:
The total number of sets is 2,640.
Step-by-step explanation:
The number of marbles in the bag are:
S = {3R, 5G, 1L, 2Y and 6O}
There are a total of N = 17 marbles in the bag.
Four marbles are randomly selected.
Assume that the selection was without replacement.
It is provided that two of the marbles are green.
And the remaining two are non-green.
A sample of the selection is as follows:
G, G, _, _
The two green marbles can be selected in 5 × 4 = 20 ways.
So, the remaining two marbles cannot be green.
That leaves us with: 3R, 1L, 2Y and 6O = 12 marbles.
The third marble can be selected in 12 ways.
And the fourth marble can be selected in 11 ways.
So the number of combinations of selecting 4 marbles such that 2 are green and 2 are non-green is:
Total number of sets = 5 × 4 × 12 × 11 = 2640
Thus, the total number of sets is 2,640.
