1. In the given figure. BEST is a cyclic quadrilateral. ES is produced so that BE=SN. If ET is the bisector of angle BES, prove that NET is an isosceles triang.
Answers
The triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral.
How to determine the existence of an isosceles triangle
In this question we must apply geometric properties of angles and triangles to determine that the triangle NET is an isosceles triangle. Isosceles triangles are triangles with two sides of equal length. In addition, we must apply the geometric concept of proportionality.
Now we proceed to prove the existence of the isosceles triangle:
BE ≅ SN GivenET is the bisector of ∠BES GivenET/ES = ET/EB Definition of proportionalityES = EB (3)ES ≅ EB Definition of congruenceET ≅ TN SSS Theorem/ResultTherefore, the triangle NET is an isosceles triangle as ET ≅ TN and ET = TN < EN given the condition that BEST is a cyclic quadrilateral. [tex]\blacksquare[/tex]
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Related Questions
f(x) = (x + 1)(x - 3)(x - 4)
Answers
Step-by-step explanation:
[tex]f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12[/tex]
x intercept = -1, 3 and 4
y intercept = 12
The results of a survey of 200 adults are shown in the table?
Answers
Answer:
A. [tex]\frac{14}{200}[/tex]
Step-by-step explanation:
There are 200 people in total to choose from, and only 14 of them are 6' and male.
When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?
x p m y = 8
StartFraction x y Over p m EndFraction = 8
StartFraction x p m Over y EndFraction = 0. 5
StartFraction x Over p m y EndFraction = 0. 5
Answers
Answer:
[tex]\dfrac{xy}{pm}=8[/tex]
Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
__
This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
Answer:
B
Step-by-step explanation:
Help…!!!!!pls…!!!! It’s really urgent
Answers
Answer:
Step-by-step explanation:
consuela is displaying a cylindrical case on a pedestal. she wants it to be placed so that there is an even amount of space on either side of the case. if the volume of cylinder shown is 1,130.97 cubic inches, how much space will be on either side if its placed on a pedestal that is 18 inches across? round to the nearest inch
Answers
The space that will be on either side if its placed on the pedestal of the cylinder that is 18 inches across will be 4.47 inches.
How to compute the dimension?It should be noted that the volume of a cylinder is given as:
= πr²h
We'll then slot the values given into the formula. This will be:
Volume = πr²h
1130.97 = (3.14 × r² × 18)
1130.97 = 56.52r²
r² = 1130.97/56.52
r² = 20
r = ✓20
r = 4.47
In conclusion, the space will be 4.47 inches.
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what is the exact value of tanC
Answers
Answer:
tan C = 5/√39
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is AB, 5.
The adjacent leg is BC, √39.
tan C = 5/√39
Write the quotient as a mixed number. 91 ÷ 8 = 11 R3
Answers
Answer:
[tex]11\frac{3}{8}[/tex]
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x + 4 = 12
A. x= -22/3 - 2
O B. X = -V2+12
O c. X= V2 +12
O D. x = 213-2
O E. x = 2,5 + 2
O F. x= -2-43 +2
Answers
The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
1) Since we've been given the equation x²+4x +4=12 then let's solve it to find the roots
2) Applying the resolutive formula
x²+4x +4=12
x²+4x +4-12 =0
x²+4x -8=0
now, we know, here,
D = b² - 4ac
so, solving we get,
D = 48
Now, the roots are,
x = -b ± √D / 2a
so, here, we get,
x_1 = -2 + 2√3
x_2 = -2 - 2√3
Hence, The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.
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Please help. Thank you!
Answers
Answer:
B
Step-by-step explanation:
When you think about it, turn all the answers upside down and see if any of them look just like the figure you are given
Find the value of x for each of the special parallelograms.
5. rhombus
Answers
The two angles given are supplementary angles so when added together need to equal 180 degrees.
2x-1 + 4x+28 = 180
Simplify:
6x +27 = 180
Subtract 27 from both sides:
6x = 153
Divide both sides by 6:
x = 25.5
because it looks like those added together equals 180 degrees so set that up as an equation than combined like terms and solve it algebraically
mayonaise on a escatlater going so fast so i will see you later
Answers
3. Select all the sectors which have an area of 3pi square units.
a)a sector with a radius of 6 units and a central angle of 30 degrees
b)a sector with a radius of 6 units and a central angle of 45 degrees
c)a sector with a radius of 3 units and a central angle of 60 degrees
d)a sector with a radius of 3 units and a central angle of 120 degrees
e)a sector with a radius of 3 units and a central angle of 180 degrees
Answers
Answer:
Sector A sector C sector D correct answers
Answer: A, C, D
Step-by-step explanation:
The reason for this is because you plug it in as a fraction to simplify.
Example: 9π/3 simplify to 3π/1 because both divide by 3
What is the scale factor from Figure AAA to Figure BBB? please 3
Answers
Answer:
1:3
Step-by-step explanation:
9:3=3
3.6:1.2=3
A is 3 times greater than B. It means that the scale factor from A to B is 1:3
helppppppppppppppppppppp
Answers
Answer:70,470 dollars
Step-by-step explanation:
Answer:
$3 per square foot
Step-by-step explanation:
Find the area of all the surfaces around the rectangle, by multiplying length times width of each side.
Then add all of the answers together and divide by how much the wallpaper cost by square foot, which would be 522/174 which equals 3.
At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win nothing at all. If the probability of winning nothing is 0.71 and the probability of winning a small stuffed animal is 0.17, what is the probability of winning an inflatable crayon? Express your answer as a decimal.
0.83
0.88
0.29
0.12
Answers
Answer:
I got 0.12 edited*
Step-by-step explanation:
Answer:
D) 0.12
Step-by-step explanation:
The max value is 100%.
Add .71 + .17 = .88
Lets change .88 to 88.
100 - 88 = 12
make 12 a decimal.
0.12
which of the following expression represents the perimeter of the figure below
Answers
Answer:
No picture is displayed
pls help me with this question
Answers
is either x=5 or x=6 a solution to 4x>21
Answers
Answer:
x=6
Step-by-step explanation:
The inequality is saying that 4×x is more than 21
4×5 = 20 which is not more than 21
4×6 = 24 which is more than 21
Therefore the lowest integer solution to this is that x = 6
Answer:
[tex]4x > 21[/tex]
[tex]\cfrac{4x}{4} > \cfrac{21}{4}[/tex]
[tex]x > \cfrac{21}{4}[/tex]
I'd say no!
Juliana bought 3 bags of chips for 0.85 each and 3 sodas for herself and two friends and spent exactly $6 (before tax.) write an equation to find the price of each can of soda.
Answers
Step-by-step explanation: Cost of 3chips =$0.85×3= $2.55
Cost of 3 soda will be $6-$2.55
Cost of 1soda will be ($6-$2.55)/3
Which statement(s) are true based on the pythagorean identities? sine squared (theta) = 1 cosine squared theta 1 = secant squared theta minus tangent squared theta cotangent squared theta = cosecant squared theta minus 1 1 minus tangent squared theta = negative secant squared theta negative cosine squared theta = sine squared theta minus 1
Answers
The statement that is true based on the Pythagorean identities is cotangent-squared of theta - cosecant-squared of theta = -1.
Why is the equation above true?Note that cotangent-squared of theta - cosecant-squared of theta = -1. is tru because it is the only equation that is correct.
So therefore, cotangent-squared of theta - cosecant-squared of theta = -1.
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Answer:
BCE
Step-by-step explanation:
edg
HELPP FOR BRIANLEST!!!
Answers
Answer:
Your answer Exterior C is 160°
Interior C is 20°
Step-by-step explanation:
<A + <B + <C = 180°
<Left C + <Right C = 180°
<A + <B = <Right C
(5x - 10)° + 12x° = 16x
17x - 10 = 16x
x = 10
<A = 5x - 10
<A = 5*10 - 10
<A = 50 - 10 = 40°
<B = 12x
<B = 12*10
<B = 120°
<A + <B = <Right C.
40° + 120° = 160°
What is the completely factored form of f(x) = 6x3 – 13x2 – 4x 15? (x 1)(6x2 – 19x 15) (x 1)2(2x – 3) (x 1)(3x – 2)(5x – 3) (x 1)(2x – 3)(3x – 5)
Answers
The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
How to factor the expression?The expression is given as:
f(x) = 6x³ - 13x² - 4x + 15
Expand the expression
f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15
Rewrite as:
f(x) = 6x³ + 6x² + 15x- 19x² - 19x + 15
Factorize the equation
f(x) = (x + 1)(6x²- 19x + 15)
Expand (6x² - 19x + 15)
f(x) = (x + 1)(6x² - 10x - 9x + 15)
Factorize the expression
f(x) = (x + 1)(2x - 3)(3x - 5)
Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
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Answer: D
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
1 3/5 miles
Step-by-step explanation:
7 4/5 - 6 1/5
= 7 - 16+ (4/5 - 1/5)
= 1 + 3/5
= 1 3/5
The height of a single car on a Ferris wheel is modeled by a cosine function.
The car completes 4 whole rotations in a time period of 27 minutes.
Write a function rule that could model this situation?
Answers
The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.
A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.
The above function is derived as follows:
T = 2π/4 = π/2 = 2π/ω
Therefore, ω = 2π/π/2 = 4
This means f(x)= -106 cos (4x) + 106
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Which angles are vertical to each other? Select all that apply.
Answers
Answer:
Answer is D. angle DGF and AGC
Glen surveyed 60 people at a coffee shop. He found that 27 individuals selected iced coffee as their favorite beverage. What is the experimental probability that the next person will select iced coffee as their favorite?
Answers
Answer:
45%, 9/20, etc.
Step-by-step explanation:
Well, if it is 27 out of the 60, then you can divide each by 3 to get 9/20. Then, you multiply both by 5, and get 45/100. Therefore, the probability is 45% or 9/20, however you put it.
PLEASE HELP AND FAST
Answers
Answer:
It would be A because the probability is above 0 percent however it is below 50 percent which is 0 and 0.5 in the question.
Step-by-step explanation:
If f(x) = 2x − 9 and g(x) = x2 + 3, what is (f + g)(4)? (1 point)
Group of answer choices
a. 18
b. 20
c. −19
d. −20
Answers
Answer:
a. 18Step-by-step explanation:
(f+g)(4) = f(4) + g(4)
= 2(4) - 9 + 4² + 3
= 8 - 9 + 16 + 3
= -1 + 16 + 3
= 15 + 3
= 18
need help with question 16
Answers
Answer:
C)
Step-by-step explanation:
u = x + 1
u - 1 = x
[tex]\int\limits {\dfrac{x}{\sqrt{x+1}}} \, dx = \int\limits {\dfrac{u-1}{\sqrt{u}}} \, du \\\\[/tex]
[tex]=\int {\left(\dfrac{u}{u^{\frac{1}{2}}}-\dfrac{1}{u^{\frac{1}{2}}} \right )\, du \\\\ = \int {u^{1-\frac{1}{2}}-1*u^{\frac{-1}{2}}} \, du\\\\ =\int {(u^{\frac{1}{2}}-u^{\frac{-1}{2}})} \, du[/tex]
Question is in photo below.
Answers
Answer:
ordered the numbers below from least to greatest
Ascending Order: -√100 , 9 4/11 , 9.46 , 9.5
hope that helped...