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13. Are the triangles similar? Yes or No
14. Which postulate justifies your answer to #13?
A. SSS~ Postulate
B. SAS~ Postulate
C. AA~ Postulate
D. They are not similar.
15. What is the similarity ratio (scale factor) of the larger triangle to the smaller triangle?
similarity ratio =??
Answers
Answer:
13. ...........................
The ratio of corresponding sides:
24/40 = 3/518/30 = 3/5Congruent angles
∠ABE ≅ ∠DBC (vertical angles)Yes14............................
SAS- two sides are similar and the included angle is congruent15............................
Similarity ratio is 3/5 as calculated aboveRelated Questions
find the slope given the points (2,-7)and(-1,6)
Answers
Answer:
13/-3
Step-by-step explanation:
1.08 CREATE TRIGONOMETRIC MODELS
A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its parent function over the x-axis.
Which function could be the function described?
Answers
Answer:
○ [tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{f(x) = 10sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) + 10} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]
The cosine graph in the photograph on the right is the OPPOCITE of the cosine graph in the photograph on the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Moreover, both graphs have the same maximum and minimum value, but we are looking for the equation that will not reflect over the midline of [tex]\displaystyle y = 10,[/tex]which means we do NOT want a negative in front of the amplitude value, therefore we have this equation:
[tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]
If you are having trouble figuring out which graph is which, just remember that the parent function of [tex]\displaystyle y = cos\:x[/tex]never touches the origin unless it shifts one unit south or gets reflected from somewhere. In this case, the photograph on the left touches the origin because of a reflection [negative symbol], therefore the photograph on the right matches the equation selected.
I am delighted to assist you at any time.
The correct function is,
⇒ y = 10 cos (π/2x) + 10
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
A cosine function has a period of 4.
Since, The period is 4.
Hence, The relationship between period and b (the coefficient of the independent variable of the cosine function) is, (period) =(2π/b).
Hence, We get;
⇒ 4b = 2π
⇒ b = 2π/4
⇒ b = π/2
So, Now our equation y = a cos (bx) + c becomes as;
⇒ y = 10 cos (π/2x) + 10
Thus, The horizontal center line of this cosine curve is y = 10. The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.
Learn more about the function visit:
https://brainly.com/question/28793267
#SPJ2
HELPPPPPP PLEASEEEEEEE WILL GIVE B !!!!
Answers
Find the solution set of the inequality:
8x + 2 > 34
Answers
Subtract 2 from both sides to start isolating x
8x > 32
Divide both sides by 8 to isolate x
x > 4
x is greater than 4
Answer:
x>4
Step-by-step explanation: Khan Academy
Select all the correct measurement conversions.
A. 8 pints = 16 fluid ounces
B. 5 feet = 60 inches
C. 2 tons = 4,000 pounds
D. 5 meters = 5,000 centimeters
E. 2 days = 2,880 minutes
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On a bike trip, you traveled 21 miles on the first day, 19 miles on the second day, and n miles on the thirdday.
a. Write an expression for the number of miles traveled all three days.
b. Simplify the expression.
PLZ DONT WASTE MY POINTS
Answers
Answer:
21 + 19 + x
40 + x
Step-by-step explanation:
well you would just add up 21 + 19 + x. that would be 40 + x. That would be the number of miles
Can someone answer this
Answers
find the value of x.
Answers
Answer:
x=110°
Step-by-step explanation:
Sum of angles in a quadrilateral = 360°
360° - 128° - 40° - 82° = 110°
Answer:
x = 110
Step-by-step explanation
The sum of the interior angles of a quadrilateral = 360°
Sum the given angles and equate to 360
82 + 40 + 128 + x = 360
250 + x = 360 ( subtract 250 from both sides )
x = 110
Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it please I need the two of them do not send me link just write please do not send me link please
Answers
Answer:
hffhbvcghbvcf given ndi
Answer:
a = 20m
b = 8ft
Step-by-step explanation:
a² = 25² - 15²
a² = 625 - 225
a² = 400
a = 20m
b² = 10² - 6²
b² = 100 - 36
b² = 64
b = 8ft
pls help lol, Write an equation that represents the line. Use exact numbers.
Answers
Morning Donuts has 92 donuts for sale, including 8 jelly-filled donuts. What is the probability that a randomly selected donut will be a jelly-filled donut? Write your answer as a fraction or whole number.
Answers
Answer:
Probability [selected donuts a jelly-filled donut] = 2 / 23
Step-by-step explanation:
Given:
Total number of donuts = 92
Number of jelly-filled donuts = 8
Find:
Probability [selected donuts a jelly-filled donut]
Computation:
Probability [selected donuts a jelly-filled donut] = Number of jelly-filled donuts / Total number of donuts
Probability [selected donuts a jelly-filled donut] = 8 / 92
Probability [selected donuts a jelly-filled donut] = 2 / 23
Which of the following could NOT be considered a POLYNOMIAL?
a. 3a^3 - a^2 + 2a - 6
b. m^5 - m
c. 2a^2 - 3a + 2^a
d. 1/2^h^2 + h/2
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Answer:
a please be correct I hope it is a
If a polynomial is divided by a binomial and the remainder is zero, what does that tell you about the relationship between the binomial and the polynomial?
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Answer:
Step-by-step explanation:
Binomial is a factor of the polynomial.
What is the least common multiple of 8 and 12?
96
24
48
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Answer:
B. 24 :)
Step-by-step explanation:
I hope this helps!
m - 4.21 = 87.654 What is the value of m
Answers
Answer:
91,864
Step-by-step explanation:
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also youre
self:):D
The length of rectangle is represented by 8x - 3. The width of the rectangle is represented by 2x. The perimeter is 34 inches. Which equations represent the perimeter? Choose all of the correct answers.
Answers
Answer: 20x-6 = 34
Step-by-step explanation:
Given: The length of rectangle is represented by 8x - 3.
The width of the rectangle is represented by 2x.
The perimeter is 34 inches.
Perimeter of rectangle = 2 (length + width)
Perimeter of rectangle = 2 (8x-3+2x)
Perimeter of rectangle = 2 (10x-3)
Perimeter of rectangle = 20x-6
Thus , the required equation that represent the perimeter: 20x-6 = 34
What is the equivalent fraction for 2
4
Answers
Tickets for the CTA train cost $0.75 for students and $3.25 for
chaperones. If a school trip has a total of 50 people, how many students
and chaperones are on the trip? *
help i need this asap
HINT: Try graphing your equations or multiplying the cost equation by 4.
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this is really important, if ur not positive dont answer plz...
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Answer:
what does this mean
Step-by-step explanation:
2/3 of 21=? who wants to answer
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Answer:
14
Step-by-step explanation:
Convert 21 to a fraction: 21/1
2x21= 42
3x1= 3
42/3= 14
3/3= 1
14/1 --> simplify to 14
can you simplify this for me...also please show work [tex]\frac{7\sqrt{10x} }{\sqrt{6} }[/tex]
Answers
Answer:
7√(10x)/√6
Rationalize it
7√(10x)√6/(√6×√6)
7/6×√(60x)is your answer
Step-by-step explanation:
What does the x represent
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable and x in this equation would be 5 because 5+2=7.
Step-by-step explanation:
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x+2=7, x is a variable and x in this equation is , 5+2=7, but we can work out its value if we try!
Step-by-step explanation:
What is the area of this figure! Pls help!
Answers
Answer:
count all the boxes it covers(that is your area)
answer : 27
Step-by-step explanation:
7. Write the following expression in simplest form: -10 + 7a- 8a - 11 + 2a? + 6a
15 points and sorry
Answers
Answer:
2a+6a+7+8+10+11
Step-by-step explanation:
find the annual premium for fire insurance on a $60,000 home at a rate of $.83 per $100
Answers
Answer:
A premium for fire insurance could be lower than someone else's if: Building is close to a ... Using the tables in the handbook, the total annual premium is: $1,554 ... On a fire that causes $60,000 of damage.
Step-by-step explanation:
Train A leaves the station traveling east at 50 mph while train B leaves the station 30 minutes later traveling west at 65 mph. Choose the equation below that represents the distance in miles between the two trains, D, as a function of T, the time in hours after train B has departed.
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Answer:
Change 45 min to .75 hrs
Distance = speed * time
Train A's distance = 55(t+.75)
Train B's distance = 70t
The equation
D(t) = 70t + 55(t+.75)
Eli has two boards that measure 1.5 feet and 2 feet long. He needs a third board to
form a right triangle with the boards. What length should the third board be so a right
triangle is formed? Round to the nearest tenth.
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If you use the pythagorean therom to find the third board as the hypotenuse.
1.5^2 + 2^2 = c^2
6.25=c^2
sqrt both sides
2.5=c
1. Which of the following is true about the expression shown below? *
Capitols Image
A. The expression is a degree three binomial.
B. The expression is a degree two trinomial.
C. The expression is not a polynomial.
D. The expression is a polynomial written in standard form.
Answers
i took the test
please mark brainliest
help me with this pls
Answers
Answer:
The answer should be C because the airplane ascends and descends within bla3 minutes
On a number line, A is at -8 and B is at 2. What is the coordinate of C, which is 3/5 of the way from A to B?
Answers
Answer:
C is at -2
Step-by-step explanation:
distance from A to B is 10
10 × 3/5 = 6
add 6 to -8 to get -2