Answers
Answers:
x = angle MLN = 35 degrees
angle FLJ = 55 degrees
=================================================
Explanation:
This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.
From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.
Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.
In short: angle FAL is 55 degrees
----------------------
Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.
Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.
It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.
----------------------
We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.
Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.
Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35
In short, angle MLN = 35 degrees
Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.
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As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...
(angle FLJ)+(angle FLM) + (angle MLN) = 180
55 + 90 + angle MLN = 180
145 + angle MLN = 180
angle MLN = 180 - 145
angle MLN = 35 degrees
Related Questions
Is (x+4)^2 equivalent to 2x^2+8x+8? Explain or show your reasoning.
answer: no because they have different x values
(x + 4) 2 —> 2x + 8
2 x 2 + 8x + 8 —> 8x + 12
teachers response:
Your answer is correct in that they are not equivalent. But I need you to show me what (x+4)^2 equals. First, you would write it this way: (x+4) (x+4). Now, multiply these binomials…what do you get?
please help!!
Answers
Answer:
It's wrong because the y intercepts are different
Step-by-step explanation:
The box method is OP for these kind of questions
If I don't do a good job explaining it then I reccomend you consult the internet
The expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x + 4)²
Simplify the expression, then we have
⇒ (x + 4)²
⇒ (x + 4)(x + 4)
⇒ x² + 8x + 16
Thus, the expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ3
What is the value of x in the equation 3x − 2 = x + 8?
Answers
Answer:
x=5
Step-by-step explanation:
We need to find the value of x the given equation: 3x-2=x+8
the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side
here's the equation:
3x-2=x+8
first, add 2 to both sides
3x-2=x+8
+2 +2
___________
3x=x+10 (2 goes away on the left side, as -2+2=0)
now, subtract x from both sides
3x=x+10
-x -x
______
2x=10 (x goes away on the right side, as x-x=0)
we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)
divide both sides by 2
x=5 (because 2x/2=1x, or x. 10/2=5).
therefore, the value of x is 5
Hope this helps!
Function 2
+ 4x + 1
Function _
has the larger maximum.
(Put 1 or 2 in the blank space)
Answers
Answer:
Function 2 has larger max value.
Step-by-step explanation:
We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.
But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.
[tex] \large{f(x) = - {x}^{2} + 4x + 1}[/tex]
It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.
[tex] \large \boxed{y = \frac{4ac - {b}^{2} }{4a} }[/tex]
As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c
Substitute our a, b and c in the formula.
[tex] \large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}[/tex]
Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.
• The manager of a bookstore uses the equation 8 = p - 3.5 to find the price a student pays for a book.
Which situation could the equation represent?
• The sale price, s. of a book is $3.50 less than the original price,p.
• Use the equation 8 = p - 3.5 to help you complete the table.
Original Price in Dollars (p) 3.50 4.50 5.00 8.00
Sale Price in Dollars (s)
?
?
?
7
00
9
4
5
6
1
Answers
Answer:
Step-by-step explanation:
Answer:
0, 1.00, 1.50, and 4.50
Step-by-step explanation:
Hope this helps
If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then calculate the standardized random variable, and P(X < 35).
Answers
Answer:
[tex]Z=-1.2[/tex]
Step-by-step explanation:
From the question we are told that:
Normal distribution [tex]x=35[/tex]
Mean of normal distribution [tex]\=x=65[/tex]
Standard normal distribution deviation [tex]\sigma= 25[/tex]
Generally the equation for standardized value is mathematically given by
[tex]Z=\frac{x-\=x}{\sigma}[/tex]
[tex]Z=\frac{35-65}{25}[/tex]
[tex]Z=\frac{35-65}{25}[/tex]
[tex]Z=-1.2[/tex]
Therefore the standardized value of x is
[tex]Z=-1.2[/tex]
Melly wants to simplify the expression 323/5
Answers
Answer:
64 3/5
Step-by-step explanation:
write 43600000×56000 in scientific notation
Answers
Answer:
(4.36x10^7)x(5.6x10^4)
Step-by-step explanation:
To answer the question what is 43600000 in scientific notation let’s recall how to convert 43600000 to scientific notation as detailed on our home page.
When you split the number 43600000 into a coefficient and a power of 10 you do get 43600000 in exponential form, but there is an indefinite number of possibilities.
As you probably want 43600000 in normalized scientific notation, the coefficient or significand of 43600000 in scientific notation must be in the interval [1,10[.
As there are many ways to express 43600000 in scientific notation, in this post we mean 43600000 in normalized scientific notation, unless stated otherwise. Therefore:
43600000 in scientific notation = 4.36 × 107.
Now you can do that for the other one to found out what it is equal to.
The time spent by a teacher on schoolwork during the weekend is normally distributed with a mean of 6 hours and a standard deviation of 1.2 hours.
a) What amount of time do the bottom 20% of teachers work?
b) What amount of time do the top 20% of teachers work?
c) What amount of time do the middle 40% of teachers work?
Answers
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Round to the nearest tenth.
Mean: [?] cm
Help pls?!!!! For brainlest and extra points
Answers
Answer:
12cm squared
Step-by-step explanation:
The area of a triangle is 1/2bh
A = 1/2 x 4 x 6
A = 4 x 3
A = 12 cm squared
Answer:
The answer is B: 12 cm^2.
Step-by-step explanation:
The formula for the area of a triangle is b * h / 2 (base times height divided by two).
6 * 4 = 24
24 / 2 = 12
And since we're looking for area, the answer would be squared, as all areas are.
The answer: 12 cm^2.
Brainliest would be really really greatly appreciated!!!!
( pls help i’ll give the brainliest and quick) In the equation (x-3)2+(y-2)2=16, the center of the circle is...
(3,2)
(-2-3)
(-3,-2)
Answers
Tim filled his beach ball with 800 cubic inches of air. It loses 30% of its remaining air every 15 days. Which expression models how much air will be left after 5 months? (Let 15 days = twice a month.)
Answers
Answer:
22.6in³
Step-by-step explanation:
a = 800(0.7)^(150/15)
a = 800(0.7)^(10)
a = 22.6in³
Answer:
800(1-0.3)^5*2
Step-by-step explanation:
bright thinker confirmed
Which of these is the algebraic expression for "six more than the product of seven and some number?"
Answers
Six more than the product of 7 and a number
if i dont get this answer done by 7:30 my moms gonna b e mad at me, please help me and also please no files i dont understand them =_=
Answers
Answer:
gotchu.
c = 36
Step-by-step explanation:
First add five to each side.
c/4 = 9
then you multiply by four:
c=36
NEED HELP shouldn’t take to long :)
Answers
2. Obtuse
3. Isosceles
4. Equilateral
5. Acute
6. Scalene
A pole with a height of 50 feet casts a shadow 50 feet long. Find the angle of elevation of the sun at this point in time.
(please explain the best you can )
Answers
Answer:
0 = 30.96
Step-by-step explanation:
because math
8. Which choice is chord?
LG
CH
LM
CJ
Answers
Answer:
Step-by-step explanation:
LG: is a chord. Are there others?
CH: is a radius. C is the center of the circle.
LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.
CJ: Anything coming from C and ending at the circumference is going to be a radius.
HELPP I NEED HELP!!!
Answers
Answer:
10
3
Step-by-step explanation:
what is 0.7777 rounded 3 decimal places ?
Answers
Answer:
0.778
Step-by-step explanation:
This is because 7 is greater than 5 so you would round it up.
Answer:
0.778
Step-by-step explanation:
0.7777 rounded to the nearest 0.001 or the thousandths place.
Plz help meee
Find the x and the y
Plz I need work to
Answers
Need help dhdudhehebdhdbdhdbdhbdbdbshsshhshsshhshsshhshs
Answers
Mike measured the stage where his band was going to play to determine if it is a right triangle. Does the stage with side lengths of 36 feet, 48 feet, and 60 feet form a right triangle
Answers
Answer:
let
hypotenuse[h]=60ft
base[b]=36ft
perpendicular [p]=48ft
by using Pythagoras law
p²+b²=h²
48²+36²=60²
2896≠3600
since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle
The data in the table below shows the
number of degrees the temperature rose
after sunrise on a particular day. Determine
if this data represents a proportional
relationship. If yes, give the rate.
Hours
Past
Sunset
Degree
Change
3
5.25°
4.
7°
6
10.5°
8
14°
Answers
Find the value of x.
Answers
A straight line = 180 degrees.
180 - 114 = 66 degrees
Brianna has 3 posters she wants to hang on the wall. How many different ways can
the posters be arranged in a row?
The answer is 6
Answers
Answer:
print them out or something
Tyra’s father is two years more than three times as old as she is. If Tyra is nine years old, how old is her father?
A-29
B-27
C-17
D-18
E-32
Answers
Answer:
A - 29
Step-by-step explanation:
she is Nine so
her dad will be
2+9×3
2+27
29
Answer:
hi how are you doing today Jasmine
What is the radius of a circle that has an area of 89 square feet?
Answers
Answer:
5.32255ft
Step-by-step explanation:
A
π=89
π
Answer:
5.3
Step-by-step explanation:
The equation is A=πr²
The area is 89 so 89=πr²
89/π=r²
√89/π =r
r=5.322554
PLS HELP ASAP ILL MARK BRAINLIEST
Answers
Of the total students at Martin Middle School, 224 students are picked up by their parent at dismissal. If this is 28% of the total number of students, how many students are at Martin Middle School altogether ?
Answers
Answer:
800
Step-by-step explanation:
28/100 =224/x
28x/28 = 22400/28
Dave rolled a number cube 10 times and recorded the frequency of each result in this table.
According to the table, what is the experimental probability in simplest form that the number cube shows 6?
A. 1/10
B. 1/6
C. 3/10
D. 1/2
Answers
Estimate 12.32+7.636 by first rounding each number to the nearest tenth.
pls help need the right answer thank u
Answers
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Explanation:
12.32 rounds to 12.3 when rounding to the nearest tenth (aka one decimal place). The digit in the tenths place stays the same because the next digit over is not 5 or larger.
7.636 rounds to 7.6 when following the same rule
Adding those two rounded values gets us 12.3+7.6 = 19.9