Answers
Answer:
n = 28°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc.
Also angles subtended on the same arc are congruent , thus
m = n
Then
35 + m = [tex]\frac{1}{2}[/tex] (98 + n ) ← multiply both sides by 2 to clear the fraction
70 + 2m = 98 + n , but since m = n, then
70 + 2m = 98 + m ( subtract m from both sides )
70 + m = 98 ( subtract 70 from both sides )
m = 14 and n = 28
Related Questions
Which of the following statements about absolute value is not true?
A.absolute value is the sign of the number
B.absolute value is the distance from zero
C.numbers have a sign and a size
D.absolute value is the size of the number
Answers
Step-by-step explanation:
A. Absolute value is the sign of the number.
Nalini thinks of an number. She doubles it and adds 5. Her answer is sixteen more than the number she thought. What number did Nalini think of? a) 10 b) 11 c)12 d) 6
Answers
x = 11
She thought of 11
Answer:
B. 11
Step-by-step explanation:
We can try it for each
10*2+5=25
25-10=15❌
11*2+5=27
27-11=16 ✔
12*2+5=29
29-12=17❌
6*2+5=17
16-6=11❌
So it's B
the public library has 1,845 new books and 4,527 old books. Micah puts the same number of books on 9 shelves. How many books did he put on each shelf
Answers
Answer:
708 books on each shelf!!?!!
Step-by-step explanation:
1,845 + 4,527 = 6372
6,372 ÷ 9 = 708
If I am right, please give me brainliest!!!!
- Hermionia
Plz help I sad today
I will give brainliest
Answers
Answer:
1. 18(2+3)
2. Dylan needs 1.375 more liters
Step-by-step explanation:
1. 36 and 54
2x3x3x2 =36
54 = 2x3x3x3
common factor = 3x3x2 or 18.
1. 18(2+3)
2.5-1.125
2.5000
- 1.125
1.375
Hope this helps!
Btw, i answered your question before!
Jack bought a new car. The price of the car was $18,936. He paid $3,000 upfront and got a loan for the remaining balance. If he paid the same amount each month for 4 years (at which point the car is paid off), how much was his monthly payment?
Answers
Answer:
Step-by-step explanation:
Given that:
Price of car = $18,936
Upfront paid = $3000
Time taken to pay remaining balance = 4 years
Amount paid per month if the same amount is paid per month
Remaining balance :
($18,936 - $3000) = $15,936
Number of months in 4 years = (12 * 4). = 48 months
Amount paid per month :
$15,936 / 48
= $332
answer this problem and ill will give you brainliest
Answers
Answer:
It will be B. You’ll have an open circle on 4 with the arrow pointing left.
Step-by-step explanation:
What is the mean absolute deviation of the following set of data?
10
20
12
4
18
8
14
18
Answers
Answer:
The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is: [tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}[/tex]
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:
[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{104}{8}\\Mean=13[/tex]
Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8
[tex]Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{36}{8}\\Mean=4.5[/tex]
So, the mean absolute deviation of the following set of data is 4.5
Paper towels come in two packages. The first package has a single roll of paper towels that has
150 sheets on the roll and costs $1.80. The second package contains three rolls, each of which
has 80 sheets on a roll and costs $2.50. Determine the cost per sheet for each and which is the
better buy
Answers
Answer:
660
Step-by-step explanation:
Select all the fractions that are equal to 4.9 Group of answer choices LaTeX: \frac{490}{10}490 10 LaTeX: \frac{49}{10}49 10 LaTeX: \frac{490}{100}490 100 LaTeX: \frac{49}{100}49 100 LaTeX: \frac{490}{1000}490 1000 LaTeX: \frac{49}{1000}
Answers
Answer:
thats a lot hold up
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.
Answers
Answer:
approximately 84.5
Step-by-step explanation:
The
says that the i
of the interior angles in a triangle
180 degrees.
The value of "x" isi
The measure of Angle A is :
degrees.
The measure of Angle B is :
degrees.
Answers
Solve for the final amount you need to pay. Chinese foos $120 for delivery. You want to pay 15% tip. How much money total money will you give the delivery boy? Show work.
Answers
Answer:
$150
Step-by-step explanation:
Given
Delivery amount = $120
Percent tip on the delivery amount = 15%
Tip amount = 15% * 120
Tip amount = 0.15 * 120 = $30
Total money paid = Delivery amount + Tip
Total money paid = $120 + $30
Total money paid = $150
hence the total money you will give the delivery boy is $150
xx squared - XY + x squared - xy
Answers
Answer and Step-by-step explanation:
[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]
This is the answer.
In case your expression is:
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]
Add similar elements: x²+x² = 2x²
[tex]=2x^2-xy-xy[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=2x^2-2xy[/tex]
Thus,
[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]
In case your expression is:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=x^2-2xy+\left(xx\right)^2[/tex]
as (xx)² = x⁴
so [tex]=x^2-2xy+x^4[/tex]
Therefore, we conclude that:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]i need help real quick
Answers
Answer:
sorrie
Step-by-step explanation:
nothing here ;)
Answer:
with what I'm here to awnser
A statistical hypothesis testing procedure is conducted over 5000 patients about some health intervention. The p-value is 0.02. Which is true? Group of answer choices If the null hypothesis was true, the probability of observing a difference at least as large as the observed diference would be 2% the probability of observing a difference at least as large as the observed diference is 2%
Answers
Answer:
The answer is "The first choice"
Step-by-step explanation:
In the given question the first choice is correct because When the zero assumption was valid, it would have been at least as bad to also be 2% to demonstrate a discrepancy as observed difference.
factorize 4x^2 - 169y^2
Answers
Step-by-step explanation:
4x² - 169y² can be factorised as (2x + 13y)(2x - 13y).
A air traffic control system is tracking two fighter jets, both of which are flying at the same altitude and their directed distance is measured in kilometers. If they have coordinates of (4, 150°) and (2, 195°), find the distance between the two jets.
Answers
Answer:
The distance between the two jets is approximately 2.947 kilometers.
Step-by-step explanation:
From the statement we know the location of each jet in polar coordinates, which are defined by the following notation:
[tex]\vec r = (r, \theta)[/tex] (1)
Where:
[tex]r[/tex] - Distance of the jet from the origin, measured in kilometers.
[tex]\theta[/tex] - Angle of the jet with respect to the east direction, measured in sexagesimal degrees.
To transform polar coordinates into rectangular coordinates, we use the following expressions:
[tex]x = r\cdot \cos \theta[/tex] (2)
[tex]y = r\cdot \sin \theta[/tex] (3)
And lastly, we determine the distance between the two jets ([tex]d[/tex]), measured in kilometers, by the Pythagorean Theorem:
[tex]d = \sqrt{(r_{2}\cdot \cos \theta_{2}-r_{1}\cdot \cos \theta_{1})^{2}+(r_{2}\cdot \sin \theta_{2}-r_{1}\cdot \sin \theta_{1})^{2}}[/tex] (4)
If we know that [tex]r_{2} = 4\,km[/tex], [tex]\theta_{2} = 150^{\circ}[/tex], [tex]r_{1} = 2\,km[/tex] and [tex]\theta_{1} = 195^{\circ}[/tex], the distance between the two jets is:
[tex]d = \sqrt{[(4\,km)\cdot \cos 150^{\circ} -(2\,km)\cdot \cos 195^{\circ}]^{2}+[(4\,km)\cdot \sin 150^{\circ} -(2\,km)\cdot \sin 195^{\circ}]^{2}}[/tex]
[tex]d \approx 2.947\,km[/tex]
The distance between the two jets is approximately 2.947 kilometers.
today at Allison's cupcake and cookie budget for her party at $105 if you would like to have at least 40 cupcakes and cookies combined and would like to have at most five more cupcakes and cookies if cupcakes sell for $2.50 and cookies for $1.50 which system of inequalities could help Allison determine possible numbers of cupcakes and cookies that she will buy
Answers
Answer:
a ≤ b + 5
a + b ≥ 40
2.5 a + 1.5 b ≤ 105
Step-by-step explanation:
−2/3(15x + 3) = −3x − 9
what is x?
Answers
Answer:
X=1
Step-by-step explanation:
-10x-2=-3x-9
-10x-2+2=-3x-9+2
-10x=-3x-7
-10x+3x=-3x-7+3x
-7x=-7
Then divide both sides by -7
x=1
A piece of paper has a
rectangle ABCD in which
AB - 10cm and BC = 22 cm,
it was folded to form a
right circular cylinder
such that AB is Cincident
to DC Find the volume of
the resulted cylinder
Answers
Answer:
The volume of the resulting cylinder is 385 cm³
Step-by-step explanation:
The formula of the rule of a cylinder is V = π r² h, where
r is the radius of its baseh is the height of itWhen a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder
∵ ABCD is a rectangle
∵ It is folded where AB coincides with DC
∴ AB is the height of the resulted cylinder
∴ BC is the circumference of the base of the resulted cylinder
∵ AB = 10 cm
∴ h = 10 cm
∵ BC = 22 cm
∴ The circumfrence of the base = 22 cm
∵ The circumference of a circle = 2 π r
→ Equate the rule by 22 to find r
∴ 2 π r = 22
∵ π = [tex]\frac{22}{7}[/tex]
∴ 2 × [tex]\frac{22}{7}[/tex] × r = 22
∴ [tex]\frac{44}{7}[/tex] r = 22
→ Divide both sides by [tex]\frac{44}{7}[/tex]
∴ r = 3.5 cm
→ Use the formula of the volume above to find the volume of the cylinder
∵ V = [tex]\frac{22}{7}[/tex] × (3.5)² × (10)
∴ V = 385 cm³
∴ The volume of the resulted cylinder is 385 cm³
What is an equation of the line that passes through the point (8,0) and is parallel to the line x - 4y = 20?
Answers
x = 20 + 4y
4y = x - 20
y = 1/4x - 5
Parallel = same slope
y = 1/4x + b
Plug in point (8,0)
0 = 1/4(8) + b, b = -2
Answer: y = 1/4x - 2
Yesterday, Bethany sent 60 text messages. She said that 15% of those
messages were to her best friend. How many text messages did Bethany
send to her best friend yesterday?
Answers
Answer:
9
Step-by-step explanation:
60*0.15 is 9
Hope this helps plz hit the crown :D
Good Morning :^)
Question:
Yesterday, Bethany sent 60 text messages. She said that 15% of those
messages were to her best friend. How many text messages did Bethany
send to her best friend yesterday?
Well, let's figure this out!
Y is 15% of 60
Equation: Y = P% × X
First Step: Solve our equation for Y
Y = P% × X
Y = 15% × 60
Second Step: Convert percent to decimal:
p = 15%/100 = 0.15
Y = 0.15 * 60
Y = 9
Answer: Yesterday, Bethany sent 9 text messages to her best friend.
Solve with steps please! *EASY*
Answers
Step-by-step explanation:
3x-5y =13......eq(1)
x+4y=10....eq (2)
multiply the eq 2 with 3
then it becomes,
3x+12y=30
Subtracting eq2 from eq 1
3x-3x-5y-12y=13-30
-17y=-27
y=1.588
x+6.352=10
x=3.648
Answer:
i am very positive that the answer is 6'1
HELP ME PLEASE NOWWW PLEASE AND THANK YOU
Answers
Answer:
X= 12
Step-by-step explanation:
3:9 is the ratio
1:3 is equal therefore the multiplicative factor is 3
lastly you do 4 times 3 to get 12 as the value for x
PS fac k you moderators I got my answer correct and u delete them fac k you
The Environmental Club is selling water bottles for $8 each and tote bags for $12 each to raise a total of $240 to donate to charity.
Let w = the number of water bottles
Let t = the number of tote bags
Write the linear equation for the fundraising goal.
Answers
Answer:
hi
Step-by-step explanation:
Solve the equation.
4(x – 6) = 16
A. 8
B. 10
C. –10
D. 12
Answers
Answer:
a.
Step-by-step explanation:
its 8 hope this helps!
Answer:
B (x=10)
Step-by-step explanation:
A) Distribute 4 to x and -6 (basically multiply 4 to x, then 4 to -6)
B) (Resulting equation): 4x-24=16
C) Add +24 to each side of the equation
D) (Resulting equation): 4x=40
E) Divide each side by 4 in order to isolate the x variable
F) (Resulting equation): x=10
Which pair of angles are vertical angles?
/_ZRQW and /_ZWQV
/_ZRQT and /_ZTQV
/_ ZRQW and /_ZTQU
/_ZRQS and /_ZSQU
Answers
Answer:
(c) is correct.
Step-by-step explanation:
When two lines cross each other, the angles opposite to each other are called vertically opposite angles. They are always equal.
In this given figure,
Line TW and RU cross each other at Q, it means
[tex]\angle RQW=\angle TQU[/tex] (vertically opposite angles)
Hence, the correct option is (c).
3.2 geometry worksheet
Answers
Answer:
Step-by-step explanation:
5)
21x + 4 = 22x - 2
6 = x
6)
x + 72 + x + 132 = 180
2x + 204 = 180
2x = -24
x = -12
7)
22x + 2 = 90
22x = 88
x = 4
8)
12x + 10 = 13x + 3
7 = x
9)
17x = 16x + 5
x = 5
17(5) = 85°
10)
20x = 21x - 6
-x = -6
x = 6
20(6) = 120º
hope this helps <3
Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answers
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
10. A tanning salon charges a one-time maintenance fee of $12 plus $4 for each tanning visit. Find a reasonable domain and range for the function for up to 6 visits.