Answer:
220°
Step-by-step explanation:
[tex]\angle PQM [/tex] is inscribed in the [tex]\widehat{PQM}[/tex] and [tex]\widehat{PNM}[/tex] is intercepted by it.
Therefore, by inscribed angle theorem:
[tex]m\angle PQM =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree \times 2= m\widehat{(PNM)}[/tex]
[tex]\implies m\widehat{(PNM)}= 220\degree [/tex]
[tex]\\ \rm\Rrightarrow m<PQM=1/2m\overset{\cap}{PNM}[/tex]
[tex]\\ \rm\Rrightarrow m\overset{\cap}{PNM}=2m<PQM=2(110)=220°[/tex]
On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 120°. Which statements about this triangle are true? Select all correct answers. The third angle measures 30°. Two sides have the same length. The third angle measures 75°. The third angle measures 90°. All sides have different lengths.
Answer:
A. The third angle measures 30*
B. Two sides have the same length
The statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
Triangle with angle measures of 30° and 120°
Third angle measure = 180–30 – 120 = 30 degree
Two angles measures are same, and two sides have the same length.
Thus, the statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.
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Prove each of these identities.
(a) tan x + cot x = secx cosecx
(b) cosec x - sin x = cos x cot x
Answer:
Identity (a) can be re-written as
[tex]sec x\ cosec x - cot x = tan x[/tex]
which we already proven in another question, while for idenity (b)
[tex](A)\frac 1 {sin x} -sin x = cos x \frac{cos x}{sin x}\\\\(B)\frac {1-sin^2x}{sin x} = \frac {cos^2x} {sin x} \\\\(C) \frac {cos^2x}{sin x} =\frac {cos^2x} {sin x}[/tex]
step A is simply expressing each function in terms of sine and cosine.
step B is adding the terms on the LHS while multiplying the one on RHS.
step C is replacing the term on the numerator with the equivalent from the pithagorean identity [tex]cos^2x + sin^2x = 1[/tex]
WORTH 30 POINTS!! WILL GIVE BRAINLIEST!!!!!!!
Marcus is buying a plane ticket. If he purchases his ticket on the day of his departure, it will cost $239. The ticket costs less if he buys it earlier. If he purchases it 20 days before his departure, it will cost $189. Model this situation by using a linear function. Then determine the cost of the ticket if Marcus buys it 3 days before his departure.
The modelled situation in a linear format is y = [tex]-\frac{5}{2}x+239[/tex]
The cost of the ticket if Marcus buys it 3 days before his departure is $231.5
Linear equationy = mx + b
where
m = slope
b = y-intercept
b = 239
Therefore, let's model the situation to a linear equation.
y = mx + 239
using (20, 189)
189 = 20m + 239
189 - 239 = 20m
-50 = 20m
m = [tex]-\frac{5}{2}[/tex]
Therefore,
y = [tex]-\frac{5}{2}x +239[/tex]
where
x = The day before departure
y = cost of ticket
To determine the cost of the ticket if Marcus buys it 3 days before his departure.
y = [tex]-\frac{5}{2}(3)+239[/tex]
y = -7.5 + 239
y = $231.5
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I really need help. Please explain and show me how to do this. Thank you so much
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86. 25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months. Income Wages $2,278. 00 Expenses Rent $950. 00 Utilities $232. 45 Food/Clothes $445. 00 Entertainment $270. 00 Car $200. 00 Credit Card $86. 25 Cell Phone $77. 89 Net Income $16. 41 a. Addison can eliminate $73 from Food/Clothes and $100 from Entertainment. B. Addison can eliminate $45 from Food/Clothes and $41 from Entertainment. C. Addison can eliminate $25 from Food/Clothes and $22 from Entertainment. D. The minimum payment is enough to pay off the balance within 24 months.
Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.
It is given that
Addison has a balance of $3,450 on her credit card.
APR = 18%
Current monthly payment = $86.25
She wants to choose a monthly payment for 24 months.
So for 24 months,
A revised monthly payment using the formula,
[tex]M = \frac{P.\frac{R}{12}. (1+\frac{R}{12} )^N }{(1+\frac{R}{12})N -1}[/tex]
R = 0.18
P = 3450
N = 24
Revised montly payment M = $172.24
Current monthly payment = $86.25
Difference = $86
So, she needs to cut the expenses by $86
If she cut $45 from Food/Clothes and $41 from Entertainment, she can easily pay the revised monthly payment.
Therefore, Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.
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how do i get the length of AD??
Answer:
12 cm
Step-by-step explanation:
Length of AD in the given figure is 12 cm
Help me please i am braindead
Answer:
In total, Esme will need to purchase at minimum TWELVE (12) pieces of fence in order to encompass her entire rectangular garden.
Step-by-step explanation:
Let us start off by isolating each of the two different length sides, and figure out which fence pieces can be used to it off.
For the three meter (3 m) side, we could utilize the following THREE (3) pieces...
ONE (1) piece of 1.8 m length fenceTWO (2) pieces of 0.6 m length fenceAdding up those pieces provides us with our desired garden side length...
(1 × 1.8 m) + (2 × 0.6 m) = 3.0 m!
For the six meter (6 m) side, we could utilize the following THREE (3) pieces...
ONE (1) piece of 1.8 m length fenceTWO (2) pieces of 2.1 m length fenceAdding up those pieces provides us with our desired garden side length...
(1 × 1.8 m) + (2 × 2.1 m) = 6.0 m!
We ought to not forget about the opposite sides of the aforementioned, to make up the four sides of the rectangle! In short, we double the number of pieces that we currently have...
In the end, the smallest number of pieces of fence that Esme will need to buy is TWELVE (12), consisting of the following pieces:
TWO (2) pieces of 0.6 m length fence TWO (2) pieces of 1.8 m length fenceTWO (2) pieces of 2.1 m length fenceI hope this helps! :)
Express your answer in scientific notation.
7.9x10^7 +6.5x10^6
Answer:
8.55 × 10^7
Step-by-step explanation:
7.9 × 10^7 + 6.5 + 10^6 =
= 7.9 × 10^7 + 0.65 × 10^7
= 8.55 × 10^7
2x+4x=-8 x+2y=4 substitution
Answer:
x = 2
y=2
Step-by-step explanation:
what is 2x*x^2, just give answer
please help me i’m mad confused
Step-by-step explanation:
(x+2)(x+3)
multiply x times x which is x^2 then x by 3 and 2 by x which adds up to 5x then multiply 2 by 3 x^2+5x+6
Find the quotient. Write the answer in the simplest form (reduce).
34) 6 * 1 /2 =
35) 3/5 * 1 /4 =
On a test, for every correct answer the student gets points and for every incorrect answer the student loses points. Corrine got the first two questions correct and missed the next three. She will receive a grade of zero if she answers question(s)
The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?
The solution is (1, 1), refer to the image :)
Answer:
(1,1) x=1 y=1
Step-by-step explanation:
A rectangle with an area of x2 – 4x – 12 square units is represented by the model. An algebra tile configuration. In the Product spot are 21 tiles in 3 rows. 1 tile is labeled x squared. In the same row are 6 tiles labeled negative 6. Below x squared are 2 tiles labeled x, and to the right of the x tiles are 12 tiles labeled negative. What side lengths should be used to model the rectangle? (x 2) and (x – 6) (x 6) and (x – 2) (x 2) and (x – 10) (x 10) and (x – 2).
Answer:
X-2 And X+10
Step-by-step explanation:
That would be the answer for the problem.
Answer:
Step-by-step explanation:
What is the cost of a pair of jeans that sells for $49 if the sales tax rate is 6%
a pair of jenas that sell for $49
rate of tax is 6%
cost of that jeans is ?
Let the cost of jeans = x
through question
or, $49 = X + X×6%
or,$49 = X + X×6/100
or, $49 = 106X/100
or, $4900 = 106X
or, X = $4900/106
: X = $46.226
thus ; the cost of jeans is $46.226
Answer:
51.94
Step-by-step explanation:
6% of 49 is 2.94. 49 + 2.94 = 51.94
NEED ASAP DUE IN 2 MINUTES EXTRA POINTS IF U ANSWER IT NOW
The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. How many hours does Jesse spend at the Robot Factory?
Answer:
4 hours
Step-by-step explanation:
the visiting fee is 18 dollars and the fee for every hour is 6 dollars
1 hour is 6
2 is 12
3 is 18
4 is 24
plus the visiting fee of 18 makes 32
Answer:
jesse spends 5 and a half hours at the factory
Step-by-step explanation:
need help on this question!!!!!
a shop sells large and small oranges . a girl buys L large oranges ams S samll oranges. she buys al least three but fewer than nine large oranges. she also buys fewer than six small oranges. the maximum number of oranges needs to buy is 10
Answer:
Number of large oranges: x
Number of small oranges: y
y < 6
x + y <= 10
Hope it helps!!!!!!brainliest pls!!!!!!!!The girl can buy a minimum of 3 oranges (either 3 large or 3 small) and a maximum of 10 oranges (a combination of large and small).
Let's represent the number of large oranges as "L" and the number of small oranges as "S."
From the given information, we have the following conditions:
At least three but fewer than nine large oranges: 3 ≤ L < 9
Fewer than six small oranges: S < 6
The maximum number of oranges she needs to buy is 10: L + S ≤ 10
Now, let's consider the possible combinations of L and S that satisfy these conditions:
L = 3, S = 0 (Total oranges = 3)
L = 4, S = 0 (Total oranges = 4)
L = 5, S = 0 (Total oranges = 5)
L = 6, S = 0 (Total oranges = 6)
L = 7, S = 0 (Total oranges = 7)
L = 8, S = 0 (Total oranges = 8)
L = 3, S = 1 (Total oranges = 4)
L = 4, S = 1 (Total oranges = 5)
L = 5, S = 1 (Total oranges = 6)
L = 3, S = 2 (Total oranges = 5)
L = 4, S = 2 (Total oranges = 6)
L = 3, S = 3 (Total oranges = 6)
As you can see, these are all the possible combinations of L and S that satisfy the given conditions. The girl can buy a minimum of 3 oranges (either 3 large or 3 small) and a maximum of 10 oranges (a combination of large and small).
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help help help helpppp
Answer:D
Step-by-step explanation:
Avanelle is walking around a track that is 400 yards long. She has walked around the track 7 times so far. How many more yards does she need to walk around the track to complete 4 miles?
Answer:
2 miles = 3,520 yards
first we need to find how many yards she's walked already :
400×5=2,000 yards
now subtract :
3,520-2,000= 1,520 yards
Keisha needs to walk 1,520 more yards to complete 2 miles
hope this helped
Step-by-step explanation:
which number is divisible by 5? 83 45 94 99
Answer:
45
Step-by-step explanation:
9x5
=45
Answer:
45
Step-by-step explanation:
To be divisible by five, the number must end with a zero or a five, and forty-five is the only number that meets these conditions. Technically, all the numbers are divisible by five, but 83, 94, and 99 divided by five would equal a whole number with a decimal, meaning the only option that equals a whole number is forty-five (45).
Hope this helped somewhat! :)
There are 10 millimeters in 1 centimeter, so about how many millimeters is this dinosaur bone? Explain.
The length of the dinosaur bones in millimetres is 220 mm
Length:Length is a measure of how long an object is or the distance between two points. Therefore, the length of the dinosaur bones was given as 22 centimetres.
The length should be converted from centimetres to millimetres as follows:
1 cm = 10 mm
22 cm = ?
cross multiply
length of the dinosaur bones = 22 × 10
length of the dinosaur bones = 220 mm
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Linear Equations
A rectangle has sides of length 3m and (x + 4) m.
Find the value of x, if the area of the rectangle is 18m²??
Name two triangles that are congruent by ASA.
Step-by-step explanation:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.Jan 21, 2020
c) The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain.
Answer:
yes
Step-by-step explanation:
30% of 42 is 12.60 so 42.00 +12.60= 54.60
and 25% of 54.60 is 13.65 so 54.60 + 13.65 = 68.25
so the Original price is $68.25
The original price of the phone case is $93.33
What is a discount?Discounting is the process of determining the present value of a payment or a stream of payments that is to be received in the future.
Given that, the phone case, is marked down 30%, and we have a 25% off coupon, paid $42.00, for this in whole, we are asked to find the original price,
Let the original price be x,
Therefore,
x - (30% of x + 25% of x) = 42
x - (30/100 · x + 25/100 · x) = 42
x - (0.3x + .25x) = 42
x - 0.55x = 42
0.45x = 42
x = 93.33
Hence, the original price of the phone case is $93.33
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Need help on question 4 and 5 ASAP pleasee (:
Ten bags of cocoa beans cost 350 cedis. Find the cost of 6 bags
Answer:
210 cedis
Step-by-step explanation:
If ten bags of cocoa beans cost 350 cedis then you need to find the cost of one bag of cocoa beans
= 35 cedis
350 × 0.1 = 35
then multiply by 6 to get the cost of six bags
35 × 6 = 210
six bags of cocoa beans will cost 210 cedis.
Tamara needs tiles to make a border for her bathroom wall. The border will be 9 feet long and 1/3 foot wide. Each tile measures 1/3 by 1/3 foot. Each box of tiles contains 6 tiles. How many boxes of tiles does Tamara need? Write two equations that can be used to solve the problem.
Answer:
Hi I'm always here to help!!!
______________________________
6x*(1/3)*(1/3) >= 9*(1/3)
(2/3)x >= 3
x >= 4.5
Since x is integer, the smallest integer such that x >= 4.5 is x = 5.
Tamara needs 5 boxes of tiles.
_______________________________
Have a great day!!!!!
Answer:
X is the integer, the smallest integer such that x >= 4.5 is x = 5.
Tamara needs 5 boxes of tiles.
Equation representation:
6x times (1/3) times (1/3) >= 9 times (1/3)
(2/3)x > = 3
x >= 4.5
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
One rectangle is "framed" within another. Find the area of the shaded region if the
"frame" is 2 units wide.
10
7
The area of the shaded rectangle is 18 square units.
How to get the area of the shaded region?
The shaded region is the framed rectangle, and the white part is the frame.
We know that the frame is 2 units wide, and the measure of the rectangle and the frame are:
width = 7 unitslength = 10 unitsNow, if we remove the frame, we will remove 2*2 units = 4 units for each measure (because for each measure we have the frame in both sides).
So the measures for the shaded rectangle are:
width = 7 units - 4 units = 3 unitslength = 10 units - 4 units = 6 units.And the area of a rectangle is given by the product between the width and length, then we have:
A = (3 units)*(6 units) = 18 square units.
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