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Related Questions
The figure shown has two parallel lines cut by a transversal: A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left. Use the figure to complete the sentence. ∠7 and ____ are alternate exterior angles. ∠2 ∠1 ∠5 ∠8
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*see attachement for the diagram of the figure being referred to
Answer:
<1
Step-by-step explanation:
Alternate exterior angles are a pair of angles which are located on the opposite side of the transversal, outside the two parallel lines.
From the figure given, you would see that <7 and <1 lie on opposite side of the transversal and they lie on the outside of the two parallel lines that are cut across by the transversal.
Therefore:
<7 and <1 are alternate exterior angles.
Considering only the values of [tex]\beta[/tex] for which [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex] is defined, which of the following expressions is equivalent to [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]?
a. [tex]\sec \beta \cot \beta[/tex]
b. [tex]\tan \beta[/tex]
c. [tex]\cot \beta \tan \beta[/tex]
d. [tex]\tan \beta \csc \beta \sec \beta[/tex]
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[tex]\large\boxed{Answer:}[/tex]
We will use trigonometric identities to solve this. I will use θ (theta) for the angle.
First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.
We can replace cotθ in the expression with 1/tanθ.
[tex]sin\theta tan\theta sec\theta \frac{1}{tan\theta}[/tex]
Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1
So now, we have:
[tex]sin\theta sec\theta[/tex]
Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.
We can replace secθ with 1/cosθ in our expression.
[tex]sin\theta \frac{1}{cos\theta}[/tex]
Simplify:
[tex]\frac{sin\theta}{cos\theta}[/tex]
Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.
We can replace sinθ/cosθ with tanθ.
Now we have as our final answer:
[tex]\large\boxed{b.\ tan\theta}[/tex]
Hope this helps!
Answer:
[tex] \huge \boxed{ \boxed{ \red{b) \tan( \beta ) }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]tips and formulas:[tex] \tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) } [/tex][tex] \cot( \theta) = \dfrac{ \cos( \theta) }{ \sin( \theta) } [/tex][tex] \sec( \theta) = \dfrac{1}{ \cos( \theta) } [/tex]let's solve:[tex] \sf rewrite \: \tan( \beta ) \: as \: \dfrac{ \sin( \beta ) }{ \cos( \beta ) } : \\\sin (\beta ) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \sec (\beta ) \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \sec( \beta ) \: as \: \dfrac{1 }{ \cos( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \cot( \beta ) \: as \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) }[/tex][tex] \sf \: cancel \: sin : \\\sin (\beta) \cdot\frac{ \cancel{\sin( \beta ) }}{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \cancel{\sin( \beta ) }} \\ \sin (\beta) \cdot\frac{ 1 }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \cos( \beta ) \\ [/tex][tex] \sf cancel \: cos : \\ \sin (\beta) \cdot\frac{ 1}{ \cos( \beta ) } \cdot \frac{1}{ \cancel{ \cos( \beta )} } \cdot \: \cancel{ \cos( \beta ) } \\ \\ \sin( \beta ) \: \cdot \: \dfrac{ 1 }{ \cos( \beta ) } [/tex][tex] \sf \: simplify \: multipication : \\ \dfrac{ \sin( \beta ) }{ \cos( \beta ) } [/tex][tex] \sf use \: \frac{ \sin( \beta ) }{ \cos( \beta ) } = \tan( \beta ) \: identity : \\ \therefore \: \tan( \beta ) [/tex]A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.
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this is a math question find the complement of 50 degree
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Given:
The measure of an angle is 50 degrees.
To find:
The complement of the given angle.
Solution:
We know that the sum of an angle and its complement is 90 degrees.
Let x be the complement angle of 50 degrees.
[tex]x+50^\circ=90^\circ[/tex]
[tex]x=90^\circ-50^\circ[/tex]
[tex]x=40^\circ[/tex]
Therefore, the measure of complement of the given angle is 40 degrees.
Can 4 in, 2 in., 8 in make a triangle.
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A pair of athletic shoes costs 90$. If the inflation rate remains constant at 4%, write an algebraic rule to determine the cost, c(t), of the shoes after t years. c(t) =
REALLY NEED THIS ANSWER
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Answer:
c(t)=90+90×0,04t
c(t)=3,6t + 90
f(x)= x2 + 5x at x = 4
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Answer:
x)x+5x
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{If x = 4 and f(x) = y}[/tex]
[tex]\mathsf{y = 4^2 + 5(4)}[/tex]
[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]
[tex]\mathsf{y = 16 + 5(4)}[/tex]
[tex]\mathsf{5(4) = 20}[/tex]
[tex]\mathsf{y = 16 + 20}[/tex]
[tex]\mathsf{36= 20 + 16}[/tex]
[tex]\mathsf{y = 36}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLZ HELP DUE IN 8 MINS PLZ HELP
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Answer: for number 1 its negative 14
Step-by-step explanation:
Which equation can be used to solve x + 3 = 15?
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Answer:
The equation 15 - 3 = x will help solve for x.
x = 12
Step-by-step explanation:
15 - 3 = 12
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
x = 15 - 3
Step-by-step explanation:
We need to isolate the variable for this. Simply subtract by 3 to get the equation.
x + 3 = 15
- 3 - 3
x = 15 - 3
the real answer would be 12, if you need that.
Joe has $70 in a savings account. The interest rate is 10% per year and is not compounded,
How much interest will he earn in 4 years?
Use the formula i = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
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Answer:
$28
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 70 × 0.1 × 4 = 28
I = $ 28.00
The simple interest accumulated
on a principal of $ 70.00
at a rate of 10% per year
for 4 years is $ 28.00.
Solve for the unknown in the following diagram. Round the answer to two decimal places.
cm
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Answer:
Step-by-step explanation:
Pls help extra points and mark brainlist o
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Answer:
A.
Hope that helps!
Step-by-step explanation:
Answer:
A. 3x = 6
Step-by-step explanation:
I hope this can help!
Have a nice day!
Calculate if C=24
PLEASE HELP!!!
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Answer:
-51
Step-by-step explanation:
24 / 8 - 6 - 48 =
3 - 6 - 48 =
-3 - 48 = -51
Hope that helps!
2|2x-6|=20
How the hell do you do this guys :(
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2x -6 =10
2x= 10+6
2x=16
X= 8
Answer:
x1 = -2, x2 = 8
Step-by-step explanation:
You can first divide both sides of the equation by 2 so now you have:
I 2x - 6 I = 10
Then use the absolute value definiton and rewrite it into two separate equations:
1.) 2x - 6 = -10
2.) 2x - 6 = 10
From here you can solve both equations:
1.) x = -2
2.) x = 8
i hoped this helps
Find the area of each. Use pi = 3.14
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Douglas works for a racing car team.
The team is practising at a racing circuit
The length of the racing circuit is 4.8 kilometres.
The team car takes 2 minutes to go once round the racing circuit.
(a) Work out the average speed of the team car.
Give your answer in kilometres per hour.
(3)
Write your answer in the box below.
kilometres per hour
Show your working clearly in the
The working box can be moved
Working Box
(b) Use estimation to show a check of your answer.
(1)
Write your check in the box below.
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Answer: the answer is c
Step-by-step explanation:
The Property where if the order of addends changes, the sum stays the change
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Grace created the net worth statement shown.
Based on the information in the statement, what is
Grace's net worth?
Net Worth Statement
- $46,600
Assets
Value
House (current value)
$125,000
® - $94,000
Investments
$12,000
Savings account
$3,600
$46,600
Total Assets
$140,600
D$234,600
Liabilities
Credit card debt
$7,500
Mortgage
$86,500
Total Liabilities
$94,000
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Answer: 46,600
Step-by-step explanation:
NOT TOO HARD NEED HELP
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Answer:
perimeter = 12x+10 area=8x^2+14x+6
Step-by-step explanation:
A
2x+2+2x+2+4x+3+4x+3
2x+2x+4x+4x+2+2+3+3
4x+4x+4x+2+2+3+3
8x+4x+2+2+3+3
12x+2+2+3+3
12x+4+3+3
12x+7+3
12x+10
B
(2x+2)(4x+3)
8x^2+8x+6x+6
8x^2+14x+6
Enter the product as a mixed number
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9514 1404 393
Answer:
10 1/5
Step-by-step explanation:
3 × 3 2/5 = 3(3) +3(2/5) = 9 +6/5 = 9 + 1 1/5
= 10 1/5
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
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Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
5th grade math. correct answer will be marked brainliest.
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Answer:
3 1/3 is your answer.
Step-by-step explanation:
Rewriting equation:
4 + 5/6 - 1 - 1/2
4 - 1 = 3
5/6 - 1/2 = ?
Find the LCD of 5/6 and 1/2 and rewrite to solve.
5/6 - 3/6 = 2/6
2/6 = 1/3
3 + 1/3 = 3 1/3
Whole number: 3
numerator: 1
denominator: 3
Answer:
3 1/3 is the Answer to the problem
In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 traffic
fatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involved
a drunk driver.
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My name is Ankush kumar I am A boy
A and B are independent events, A and C are dependent. P(A|B) = 0.3, P(A|C) = 0.2. Find P(A).
Round your answer to the nearest tenth.
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Answer:
P(A) = 0.3
Step-by-step explanation:
independent event:
P(A|B) = P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
It is showing that whether one occurred or not, the other one doesn't care about it (independence).
Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,
P(A|C) = 0.2.
We know that for the independent event:
P(A|B) = P(A)
Hence, P(A) = 0.3
The value of P(A) is equal to 0.3 to the nearest tenth.
Learn more about independent variables;
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What is the answer to114 times 12
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A n s w e r :
1368.00
What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72
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What number must you add to x² + 16x = 3 to complete the square 64: Option C
What is a perfect square?You should be aware that a perfect square is a term that has two common factors
The given equation is x² + 16x = 3
To make the equation a perfect square, Add the square of half of the coefficient of s to both sides
This is to say that (16/2)² = 8² = 64
The equation becomes x²+16x+64 = 3+64
Then you can factorize the equation and simplify the right hand side
Learn more about perfect squares on https://brainly.com/question/385286
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A label that wraps around a box of golf balls covers 75 percent of its lateral surface area. What is the value of x?
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Answer:
To find the area of the rectangular prism, use the formula:
A = width x height x length
A = 2 x 2 x 3
A = 12
Now multiply A with 0.75
12 x 0.75 = 9
x = 9 in³
hope this helps
Step-by-step explanation:
A family wants to rent a car to go on vacation. Company A charges $35.50 and 11¢ per mile. Company B charges $60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
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Answer:
$30 and 1 cent more
Step-by-step explanation:
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
Question
Is the statement below true or false?
A sampling error is the situation in which not all members of the population are equally likely to be selected.
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Answer:
I think it's true sorry if I get it wrong
Answer: it is false, I hope this helps you out!
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes??? someone help
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Answer:
7 pairs of shoes costs $140
Step-by-step explanation:
80/4 = $20 per pair of shoes
20* 7 = $140
7 pairs of shoes costs $140
Answer: 140$ $80/4 is 20 so the cost for one pair of shoes is 20$ so 20$ times 7 is 140$
Step-by-step explanation: