Answers
Complementary angles have a sum of 90 degrees. So to solve you would add each angle to the other to see if they add up to 90 degrees.
A. 31 + 69 = 100 (does not equal 90, so no)
B. 90 + 90 = 180 (they equal 180, which would be supplementary)
C. 56 + 34 = 90 (they equal 90, therefore they would be the complimentary angles)
Related Questions
A city has 18 radio stations, including 4 college radio stations.
What is the probability that a randomly chosen radio station in this city is a college radio
station?
Write your answer as a fraction or whole number.
Answers
Answer:
2/9
Step-by-step explanation:
P=4/18=2/9
what equation do I use to find the apothem?
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
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Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .
Answers
40% of 34 000
40/100 * 34 000 = 13 600
subtract : 34000 - 13 600 = 20 400
Second step:10% of 20 400
10/100 * 20 400 = 2040
subtract : 20 400 - 2040 = $ 18 360
Final Answer = $ 18 360In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?
Answers
Answer:
a₁₅₇ = 1,088
Step-by-step explanation:
aₙ = a₁ + d(n-1); where 'd' if common difference
a₁₅₇ = -4 + 7(156)
= -4 + 1092
= 1,088
Answer:
157 is the 24th term
Step-by-step explanation:
The formula for arithmetic sequences is an=a1+(n-1)d,
where an is the nth term, a1 is the first term, n is the term position, and d is the common difference
First, we need to find the common difference using the 10.
Since it's the third term, we have 10=-4+(3-1)d
Solving for d gives us d=7
Next, we need to find the term number of 157
Thus, we have 157=-4+(n-1)*7
Solving for n gives us n=24
We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157
a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.
Answers
Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
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The
mean of six numbers is 12.five of the numbers
are 11,7,21,14 and 9. calculate the sixth number.
Answers
The answer is attached. I hope this helps answer your question!
Answer:
10
Step-by-step explanation:
data=11,7,21,14,9,x
mean=sum of data/no of data
12=11+7+21+14+9+x/6
12*6=62+x
72-62=x
10=x
therefore sixth number is 10.
What is the solution to the system of linear equations?
Answers
Step-by-step explanation:
is connected to graph before u learn this u must know your graph
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answers
Answer:
this two graph is not same because they have different slopes for this they are not same
Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle ABC from its original location to coincide with each of the other triangles? Specify how triangle ABC moves up, down, left, or right.
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:
[tex]A = (1,1)[/tex]
[tex]D = (1,5)[/tex]
[tex]G= (-2,1)[/tex]
Point D is 4 points to the right of A;
i.e.
[tex]D =(1,1+4) = (1,5)[/tex]
Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.
[tex]G =(1-3,1) = (-2,1)[/tex]
Hence, ABC will be moved 3 units down to lie on GHI.
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Answers
Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
please help meeeeeeee
Answers
https://youtu.be/QnydfcNVJoQ
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channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21
Answers
Helen draws a random circle
she then measures it diameter
Answers
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answers
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
the sum of 43.9 and 4 groups of a number
Answers
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
Help me I don't know any
Answers
Answer:
25%
Step-by-step explanation:
(a)
We need to express in percent 8 as a percent of 32.
We have,
Numerator = 8
Denominator = 32
Percent,
[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]
Hence, the required percentage is 25%.
Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?
Answers
Answer: 10.75 currency units
Step-by-step explanation:
The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.
Use direct proportion to solve:
8 : 3
x ; 4.03
Cross multiply to get:
3x = 32.24
x = 32.24 / 3
x = 10.75 currency units
At a football game, the ratio of men to women is 4:1 There are 9,000 people in total, and each ticket costs £10 Calculate the amount of money made from tickets sold to men. Remember to include units ( £ ) in your answer.
Answers
Answer:
£72000
Step-by-step explanation:
According to the Question,
Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in totalThus, 5 ⇒ 9000 People
So, 4 ⇒ 7200 People(Men)
1 ⇒ 1800 People(Women)
And, each ticket costs £10Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.
Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?
Answers
Answer:
$9 in change
Step-by-step explanation:
Find the total cost of his purchases:
28 + 28 + 85
= 141
Find how much change he received by subtracting this from 150:
150 - 141
= 9
So, he should have received $9 in change
Round 31.24 to 1 decimal place
Round 5.275 to 2 decimal place
Round 0.56489 to 3 decimal place
Answers
Answer:
1. 31.2
2. 5.28
3. 0.565
Step-by-step explanation:
Remember if the number is 1-4 round down and if the number is 5-9 round up.
Hope this is helpful
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which of these points lies on the circle with center (2 3) and radius 2
A. (4,3)
B. (3,4)
C. (-1,0)
D. (1,3)
Answers
Answer:
A. 4,3
Step-by-step explanation:
that's it thanks brainliest please
Answer:
A) (4,3)
Step-by-step explanation:
Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is the probability of getting '13'? c) What is the probability of getting '21'? d) What result should occur the most?
Answers
Answer:
Find the theoretical probability that you will choose each color. P(green) = ___/___ ... 98% or 100%. 3. Bailey uses the results from an experiment to calculate the probability of each color of block being chosen from a bucket. He ... If the sum of the two number cubes in even, Player 1 (or) 2 scores a point.
Step-by-step explanation:
If 0(0,0), B(5,0) and C(5,5) are three points. Prove that
OB=OC.
Answers
Step-by-step explanation:
you must have written something wrong.
because given that information OB is not equal to OC.
but for example, OB = BC.
the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =
= sqrt(5² + 0²) = sqrt(25) = 5
the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =
= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)
so, OB is NOT the same as OC.
but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =
= sqrt(25) = 5
Michael has 2 hats, 3 shirts, and 8 pants. How many different ways can he wear the outfits if he wears one of each?
Answers
Answer:
2
Step-by-step explanation:
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
12.4 in
3.1 in
16.7 in
11.2 in
Answers
Answer:
3.1 in
Step-by-step explanation:
a² + b² =c²
12=c
11.6=b
c²- b² = a²
12²-11.6²= 9.44
√9.44 = 3.07 Rounded = 3.1 in
Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Selext three options.
Answers
Answer:
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
The transformation is rigid.
Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
If figure 1 is located 360° about point C, it will be mapped onto itself.
Step-by-step explanation:
what is 2/3 of 4 hours and 30 minutes?
Answers
Where would the last point need to be in order to finish graphing a square using the points (1, 3), (5, 3), and (5, 7)?
A. (1, 5)
B.(5, 1)
C.(3, 7)
D.(1, 7)
Answers
Help me this is due soon
Answers
Answer:
It's (-1.5,-5.5)
Step-by-step explanation:
Answer:
-1.5 , -5.5
Step-by-step explanation:
if f(x) = 2X -5 and g(x)=x^2-8 find (f+g)(x)
Answers
Answer:
im not dure
Step-by-step explanation: