Answer:
the measure of supplementary angles must add up to 180
Step-by-step explanation:
complementary angles add up to 90°
angles on a straight line are supplementary angles which add up to 180°
The measure of supplementary angles must add up to 180. The correct option is D.
What is a complementary angle?An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.
The complementary angles are defined as the angles having the summation of 180 degrees. The angles made by the straight lines are termed complementary angles.
The supplementary angles are the angles between the two lines that will be 90 degrees.
Therefore, the measure of supplementary angles must add up to 180. The correct option is D.
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An airplane lands on a runway with a velocity of 150 m/s. How far will it travel until it stops if its rate of
deceleration is constant -3m/s2?
Answer:
3750 m
Step-by-step explanation:
This question can be solved using law of equation of motion
[tex]v^2 = u^2 + 2as[/tex]
where v is the final velocity
u is the initial velocity
a is the acceleration
and
s is the distance travelled
________________________________
given
final velocity = v = 0 since it is given that plane stops
u = 150 m/s
a = -3m/s2
using the above values in the given equation
[tex]v^2 = u^2 + 2as\\0 = 150*2 + 2*-3s\\0 = 22500 - 6s\\=> 6s = 22500\\=> s = 22500/6 = 3750[/tex]
Thus, plane will travel 3750 m before it stops.
Which is the decimal equivalent to 4 3/10?
The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change when paying with $50. 50 − ( 14 + 12 + 2 ( 5 ) + 2 ( 2 ) + 3 ) What amount of change in dollars should the customer receive?
Answer:
The change received by the customer is $7.
Step-by-step explanation:
First, write the given expression for the change when paying with $50.
[tex]50 - ( 14 + 12 + 2 ( 5 ) + 2 ( 2 ) + 3 )[/tex]
Evaluate the parentheses:
[tex]50-(26+10+4+3)[/tex]
Now add the numbers inside the parentheses.
[tex]50-43[/tex]
Subtract the numbers.
[tex]7[/tex]
Hence, the change received by the customer is $7.
Mr. Jones bought a car for $64 000. The car depreciates by 20% in the first year and 10% in each of the following years. The value of the car at the end of the second year was *
Depreciation for 1st year = 20/100 × 64000 = $12800
End of 1st year = $64000 - $12800 = $51200
Depreciation for 2nd year = 10/100 × 51200 = $5120
End of 2nd year = $51200 - $5120 = $46080
Answer:
Value at the end of the 2nd year is $46,080
Answer:
Value at the end of the 2nd year is $46,080
Step-by-step explanation:
Depreciation for 1st year = 20/100 × 64000 = $12800
End of 1st year = $64000 - $12800 = $51200
Depreciation for 2nd year = 10/100 × 51200 = $5120
End of 2nd year = $51200 - $5120 = $46080
How do I right this as an inequality? Quotient of a number r and 7 is no more than 18.
Answer:
Step-by-step explanation:
r x 7 => 18
PLEASE SOMEONE HELP ME I DON'T UNDERSTAND
1. Write the equation of the line in slop intercept form. (y=mx+b)
2. Rate of change
3. Domain
4. Range
5. Increasing Interval
6. Decreasing Interval
7. X-intercept
8. Y-intercept
9. Left-end behavior
10. Right-end behavior
Answer:
1. y = 1/2 + 1
2. 1/2
3. all real numbers
4.all real numbers
5.
6.
7. ( -2,0)
8.( 0, 1)
9.
10.
Step-by-step explanation:
Thats all I can help with, sorry i couldn't goet the rest
Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in the company's plant. Two intermediate products, beet fiber and beet juice, emerge from the crushing process. The beet fiber can be sold as is for $25 or processed further for $16 to make the end product industrial fiber that is sold for $57. The beet juice can be sold as is for $39 or processed further for $22 to make the end product refined sugar that is sold for $84. How much profit (loss) does the company make by processing one batch of sugar beets into the end products industrial fiber and refined sugar?
Answer:
Results are below.
Step-by-step explanation:
We will take into account the differential costs only. Therefore, the costs of sugar beets and to crush them are irrelevant to decision making.
Beet fiber:
Sold as is= $25
Continue processing= 57 - 16= $41
It is more convenient to process further the beet fiber.
Beet juice:
Sold as is= $39
Continue processing= 84 - 22= $62
It is more convenient to process further the beet juice.
Given m||n, find the value of x.
Answer:
X= 124
Step-by-step explanation:
Because these angles are alternate interior angles we know that X+56 will equal 180, so to solve:
180 - 56= 124
Answer:
124 degrees
Step-by-step explanation:
180 degrees is a straight line
the given angle is 56 degrees
so, all you do is subtract
180 - 56 = 124
to double check,
56 + 124 = 180
1/2 (x-3) = 6
A. 13
B. 7
C. 15
D. 18
What is x!?!?!?!?!?!?!
Answer:
c which is 15
Step-by-step explanation:
15 - 3 is 12 and 12 split in half (or in case multiplied by 1/2) is 6.
HELP ME PLS PLS PLS The maximum number of oranges in a box of volume one cubic foot can be modeled by the inequality |x − 17| ≤ 5, depending on the size of the oranges. Solve the inequality to find the greatest and least numbers of oranges that could be in a box. Complete the explanation of how you found your answer.
The box can contain a minimum of ___ oranges and a maximum of ____ oranges. The inequality needs to be split into ____ and ____ before solving. The solutions to each of these inequalities can be combined to make ___ ≤ x ≤ ___
Answer:
The first two blanks are 12 and 22 and the last two blanks are 12 and 22
Step-by-step explanation:
If f (x) = 1/9x - 2, what is f-¹(x)? Help me pls?!?!?!?!??!?!?!?!?
f-¹(x)= 9x + 18
f-¹(x)= 1/9x + 2
f-¹(x)= 9x + 2
f-¹(x)= -2x + 1/9
Answer:
A
Step-by-step
x-9=17 what’s the answer plz
Answer:
x=26
Step-by-step explanation:
x-9=17
1. add 9 to both sides:
x-9 +9 = 17 +9
x=26
2. check your answer by plugging the value of x back into the equation:
26-9=17
17=17, so the answer is correct
Simplify. 12x • 3x plzzzzzzzzz answer fast ..
Answer:
36x²
Step-by-step explanation:
We multiply the 2 together:
12 · 3 = 36
x · x = x²
36x²
Answer:
36x²
Step-by-step explanation:
= 12x . 3x
= ( 12 . 3 ) ( x . x )
= ( 36 ) ( x² )
= 36x²
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Please help me pair these. Please explain how you got the answer!
Answer:
Down in the explanation
Step-by-step explanation:
So.. my guess is the cost of the laminate flooring per square foot is D. The cost of the entire room could be A. The area of the kitchen could B, and the labor fee could be C. I'm sorry if I get this wrong, I tried my best.
Calculate the value of k=xy
Answer:
x times y
Step-by-step explanation:
k is the value of x times y
Describe in your own words what a function is and include an example of a function?
You are loading 6 concrete blocks onto a wagon, one at a time. The linear function y=30x+25 represents the total weight y (in pounds) of the wagon and its contents after you have loaded x blocks?
Answer:
D
(0,25) (1,55) (2,85) (3,115) (4,145)
Step-by-step explanation:
Each block is 30lbs, plus another 25lbs for the wagon. So just plot that.
Answer:(0,25) (1,55) (2,85) (3,115) (4,145) (5,175) (6,205)
Step-by-step explanation:
What is the slope of the line described by the equation below?
y-9= -2(x-8)
Answer:
-2x is the slope.
Step-by-step explanation:
y-9=-2(x-8)
y-9= -2x +16
y= -2x +25
m= -2
Answer: The slope is -2.
Step-by-step explanation: took the quiz.
write this in simple form 3^6 x 3
Answer:
the answer would be 2187
Step-by-step explanation:
3 to the 6th would be 729 and times it by 3 you get 2187
There are 6 triangles and 3 circles. What is the simplest ratio of circles to
triangles?
Answer:
1 : 2
Step-by-step explanation:
The original ratio would be 3 : 6, so now you need to simplify it.
To simplify ratios, you divide the number on each side by their greatest common factor. The GCF(greatest common factor) for 3 and 6 would be 3, so divide 3 by 3 =1 and divide 6 by 3 =2, so then your simplified ratio of circles to triangles would be 1 : 2
Hope this helps! :)
If f(x) = x^4 - 36, and g(x) = x^2+ 6 then f(x) ÷ g(x)=
Answer:
f+g)(x) = f(x) +g(x)
.. = (x^2-36) +(x^3+2x^2-10)
.. = x^3 +3x^2 -46
Step-by-step explanation:
incy length
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 270 days and a standard deviation of 9
days
(a) What is the minimum pregnancy length that can be in the top 12% of pregnancy lengths?
(b) What is the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths?
egnancy len
ution with a
incy length
mean = = 26
(a) The minimum pregnancy length is days
(Round to one decimal place as needed)
(b) The maximum pregnancy length is days.
(Round to one decimal place as needed)
egnancy len
ution with a
ancy length
wer
egnancy len
ution with a
ancy lenath
Enter your answer in each of the answer boxes
e
r
we
DHE
PEEL
S:06 PM
Answer:
(a) 259.5 days
(b) 284 days
Step-by-step explanation:
Let X represent the pregnancy length in days.
It is provided that [tex]X\sim N(270,9^{2})[/tex].
(a)
Let a represent the minimum pregnancy length that can be in the top 12% of pregnancy lengths.
Then,
P (X < a) = 0.12
⇒ P (Z < z) = 0.12
The corresponding z-score is, z = -1.17.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-1.17=\frac{a-270}{9}\\\\z=270-(9\times 1.17)\\\\z=259.47\\\\z\approx 259.5[/tex]
Thus, the minimum pregnancy length that can be in the top 12% of pregnancy lengths is 259.5 days.
(b)
Let b be the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths.
Then,
P (X > b) = 0.06
⇒ P (X < b) = 0.94
⇒ P (Z < z) = 0.94
The corresponding z-score is, z = 1.56.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.56=\frac{b-270}{9}\\\\z=270+(9\times 1.56)\\\\z=284.04\\\\z\approx 284[/tex]
Thus, the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths is 284 days.
THIS IS ANOTHER FREEBIE FOR 15 POINTS, JUST SAY
"GEOMETRY' AS AN ANSWER
Answer:
GEOMETRY
Step-by-step explanation:
is (-2, 1) (-1, 3) (0, -2) (1, 3) ( -2, 1)a function?
Answer:
Yes this is a function.
Explanation:
Functions are those that DO NOT REPEAT x values, in this case, you will see that -2 repeats twice as an x value, but it is expressing the same point, so it will not be considered as going twice.
I can also say that if you are to graph this:
If m DGE=52 and FGE is a right angle, what is the measure of DGF
Answer:
DGF=38
Step-by-step explanation:
FGE is the total angle that adds up to 90 degree. We know that it is bisected into 2 separate angles where we know DGE is 52 but not DGF.
We use the following information above to make the equation x + 52 = 90 (x represent the unknown degree)
Then you just solve normally where you subtract 53 from 90 and get the solution of x=38.
20 = 8x + 4y
what is y?
Answer:
y = -2x + 5
Step-by-step explanation:
20 = 8x + 4y
subtract 8x from both sides
4y = -8x + 20
divide both sides by 4
y = -2x + 5
The value of y is 5-2x=y
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 20 = 8x + 4y
Twenty equal to eight times of x plus four times of y.
We need to solve the equation for y.
To solve this we need to separate the variable y.
Subtract 8x on both sides
20-8x=4y
Divide both sides by 4
20/4-8/4x=y
5-2x=y
Hence, the value of y is 5-2x=y
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how much is the ratio 3.4
Answer:
3.4% / 100= 3.4%
Step-by-step explanation:
simplify divide m by n and then multiply the result by 100
AA and BB are n×nn×n matrices. Check the true statements below: A. If two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. B. The determinant of AA is the product of the diagonal entries in AA. C. detAT=(−1)detAdetAT=(−1)detA. D. If detAdetA is zero, then two rows or two columns are the same, or a row or a column is zero.
Answer:
If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. ( A )
Step-by-step explanation:
A and B been n*n matrices the true statement would be ; If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix.
Although other options can be true for some matrices but they are not always true for every kind matrices but option A is always true
If m=65h then what would the constant of proportionality be?
Answer:
I have 72 baes but they don't love me
Answer:
it is helping to ensure
Given the first term which is 4 and the common ratio which is 3 of a geometric
sequence, write the first 4 term of the sequence.
Step-by-step explanation:
a1=ar⁰=a=4 r=3
A2=ar¹=4*3
A3=ar²=4*3²=4*9=36
A4=ar³=4*3³=4*27=108
A5=ar⁴=4*3⁴=4*81=324