Answers
Answer:
3
Step-by-step explanation:
2 tangents of a circle drawn from an external point are said to be congruent, according to the two-tangents theorem. Thus:
MN = ML (both tangents from external point M)
ML = 6 - KL
KL = KJ (tangents from point K)
PQ = QJ = 1 (tangents from point Q)
Therefore, KJ = 4 - 1 = 3
Since kJ = KL = 3,
ML = 6 - KL = 6 - 3
ML = MN = 3
Related Questions
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answers
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)
Answers
Answer:
D. 2,-1
Step-by-step explanation:
When a line is reflected by y=x, the x and y switch.
Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19
Answers
Answer:
a_n = 11 - 6n
Step-by-step explanation:
you can observe every next element is smaller then the previous one by 6
a_n = 5 - 6*(n-1)
a_n = 5 - 6n + 6
a_n = 11 - 6n
How to solve this pythagoras theorem
Answers
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
what is the GCF of 100x squared - 250xy+75x
Answers
Answer:
25x
Step-by-step explanation:
100x^2 -250xy +75x
Rewriting
25*4*x*x -25*10 *x*y + 25*3*x
As we can see each term contains 25x
The greatest common factor is 25x
25x( 4x -10y+3)
Answer:
25x
Step-by-step explanation:
GCF means the greatest common factor.
First, we write the factors of these numbers.
=> 100x^2 = 2 * 2 * 5 * 5 * X * X
=> 250xy = 5 * 5 * 5 * 2 * X * Y
=> 75x = 5 * 5 * 5 * x
=> Next, we need to take the numbers that come in all sets.
=> 5 , 5 , x
Next, we multiply these numbers.
=> 25x
So, the GCF of these numbers are 25x
prove that [tex]2/\sqrt{3} cosx + sin x= sec(\pi /6-x)[/tex]
Answers
Answer:
sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S.
Step-by-step explanation:
sec(π/6 - x) = 1/cos(π/6 - x)
Using compound angle formula,
cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.
So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2
cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx
sec(π/6 - x) = 1/cos(π/6 - x)
= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)
= L.H.S
So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answers
Answer:
When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°
Step-by-step explanation:
Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.
Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.
In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.
Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.
Angle A = Angle B
m<A + m<B = measure of intercepted arc = 75°
inscribed angles. need answers asap , thank u!
Answers
Answer:
40°
Step-by-step explanation:
The circumference of a circle is equal to 360°
The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees
80 ÷ 2 = 40
solve for x 3(x+2) = 12
Answers
Answer:
x=2
Step-by-step explanation:
3(x+2) = 12
Divide by 3
3/3(x+2) = 12/3
x+2 = 4
Subtract 2 from each side
x+2-2 = 4-2
x =2
Answer:
The value of x is equal to 2.
Step-by-step explanation:
3(x + 2) = 12
Distribute 3 to (x + 2)
3x + 6 = 12
Subtract 6 from both sides of the equation.
3x = 6
Divide 3 on both sides of the equation.
x = 2
The value of x is 2
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answers
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
Please help, I don't understand
Answers
Answer:
sin(θ) = (2/5)√6
Step-by-step explanation:
The sine and cosine are related by the formula ...
[tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]
Filling in the given value for cos(θ), we find the sine to be ...
[tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]
__
The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...
sin(θ) = (2/5)√6
A result of a number, what decreased by 15% equal 161. Find that number.
Answers
Answer: 189.41
Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117
I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!
Find the distance between the two points (8, 3) and (0, -3)
Answers
Answer:
10
Step-by-step explanation:
d is the variable for distance
√(0−8)2+(−3−3)2=
√(−8)2+(−6)2=
√64+36=
√100=
10
Answer:
10
Step-by-step explanation:
Try making 100 using:
5,5,5,5,5
?=100
Help ASAP!
Answers
Answer:
(5+5+5+5)*5
20*5=100
[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]
Convert each number to scientific notation or standard notation.
1.0395 × 10^9
4 × 10^2
Answers
Answer:
1)1,0395x10^9
2)its already in scientific notation?
If you write it in standard notation, which is actually just regular notations it's 400.
Step-by-step explanation:
Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of 10 , with the power corresponding to the amount of places the decimal should move.
MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
Answers
Answer:
5/3
Step-by-step explanation:
5×(10×1/3)
=10×5/3
=since 5×(10×1/3) gives 50/3 so thus 10×5/3.
The fraction is therefore 5/3
-3x+2y=6 Find the intercepts. Show your work.
Answers
Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:
[tex]-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2[/tex]
So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:
[tex]-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3[/tex]
Thus, the y-intercept is (0,3).
Find the GCF of 15 and 25
Answers
15 factors into 5*3
25 factors into 5*5
The common factor is 5, and this is the largest common factor between 15 and 25.
If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift?
Answers
Answer:
[tex]\large \boxed{\mathrm{7800 \ brownies}}[/tex]
Step-by-step explanation:
975 brownies are produced per 1 hour.
To find how many brownies are produced in 8 hours, multiply the brownies amount by the hours.
975 × 8 = 7800
7800 brownies will be produced in an 8 hour shift.
Answer:
the answer is 7800
Step-by-step explanation:
975 brownies are created per 60 minutes.
To discover what number of brownies are created in 8 hours, duplicate the brownies sum continuously.
975 × 8 = 7800
7800 brownies will be created in a 8 hour move.
Question 13 of 25
Which of the following is a correct name for a side of the given angle?
D
E
A. Point E
B. ED
C. DE
D. Point D
Answers
Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25 cups of sugar. Write an addition equation to represent the total amount of sugar Dante needs. Enter your answer as an addition equation, like this: 42+(-53)=-11
Answers
Answer:
2.75 cups of sugar
Step-by-step explanation:
Hello!
To find the total amount of sugar Dante needs we need to add the amount need for each recipe
Cookie recipe needs 1.5 cups
Brownie recipe needs 1.25 cups
1.5 + 1.25 = 2.75 cups of sugar
The answer is 2.75 cups of sugar
Hope this helps!
Answer:
the answer is 1.5+1.25=1.75
Step-by-step explanation:
i just added them together
your welcome ( it also depends on how many times he uses the recipes)
A survey of 100 people found that 35 people exercise in
the morning, 45 people exercise in the afternoon, and 20
people exercise at night. Tara claims that 35:55, 45:80,
and 20:65 are possible ratios from this data. Jim claims
that 35:100, 45:100, and 20:100 are possible ratios from
this data. Who is correct? Explain.
Answers
Answer:
Jim's claim is correct
Step-by-step explanation:
Total survey=100 people
Morning exercise=35 people
Afternoon exercise=45 people
Night exercise=20 people
Morning exercise : Total survey
=35 : 100
Afternoon exercise : Total survey
=45 : 100
Night exercise : Total survey
=20 : 100
Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.
Tara's claim however seems to relate one variable with two other variables
Example:
35 : 55
Morning exercise : (morning exercise + night exercise)
35 : (35+20)
35 : 55
Answer:
Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.
Tres amigos quieren abrir una empresa dedicada al reciclaje de plasticos. Para eso deben contar con $72.000. Uno de los amigos aporto 1/3 de dinero necesario para abrirla, el segundo aporto una cantidad equivalente a los 5/6 del resto.¿cuanto dinero aporto el tercer amigo?¿Cual de los tres hizo el mayor aporte?¿cuanto mas puso en relación con que el que aporto menos?
Answers
Answer:
a) ¿cuanto dinero aporto el tercer amigo?
= $ 8,000
b) ¿Cual de los tres hizo el mayor aporte?
El segundo amigo hizo la mayor contribución.
c)¿cuanto mas puso en relación con que el que aporto menos?
El tercer amigo hizo la menor contribución
Step-by-step explanation:
De la pregunta, se nos dice:
Dinero total requerido: $ 72,000
El primer amigo contribuyó: 1/3 si el dinero era necesario
Por lo tanto, el primer amigo contribuyó:
1/3 × $ 72 000 = $ 24 000
El segundo amigo contribuyó con 5/6 del resto
La fracción que representa el resto = 1 - 1/3 = 2/3
Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9
La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9
Por lo tanto, la cantidad que contribuyó el segundo amigo =
5/9 × $ 72 000 = $ 40 000.
a) ¿cuanto dinero aporto el tercer amigo?
Esto se calcula como:
$ 72,000 - ($ 24,000 + $ 40,000)
$ 72 000 - $ 64 000
= $ 8,000
Por lo tanto, el tercer amigo aportó $ 8,000.
b) ¿Cual de los tres hizo el mayor aporte?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por tanto, el segundo amigo hizo la mayor contribución.
c) ¿cuanto mas puso en relación con que el que aporto menos?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por lo tanto, el tercer amigo hizo la menor contribución.
WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)
Answers
Answer:
The last one.
Step-by-step explanation:
For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.
The last graph is the only one that has that.
Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.
Please answer this question now
Answers
Answer:
72°
Step-by-step explanation:
From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:
m < D = ½(ABC) = ½(AB + BC)
Thus,
[tex] 56 = \frac{1}{2}(AB + 40) [/tex]
Solve for AB
[tex] 56 = \frac{AB + 40}{2} [/tex]
Multiply both sides by 2
[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]
[tex] 112 = AB + 40 [/tex]
Subtract both sides by 40
[tex] 112 - 40 = AB + 40 - 40 [/tex]
[tex] 72 = AB [/tex]
Arc AB = 72°
Select all transformations that carry rectangle
ABCD onto itself.
A. Rotate by 90 degrees clockwise using center P.
B. Rotate by 180 degrees clockwise using center P.
C. Reflect across line m.
D. Reflect across diagonal AC
.
E. Translate by the directed line segment from A to B.
Answers
A. 19
B. 20
C. 15
D. 25
Help please !!
Answers
Answer:
A
Step-by-step explanation:
Which pairs of polygons are congruent?
Answers
Answer:
pair3
Step-by-step explanation:
it is when they have same number of sides .
Answer:
1 and 3.
Step-by-step explanation:
Pair 1 and pair 3.
If we reposition one of them we see that it exactly fits onto the other.
100 2/3 as a decimal
Answers
Answer:
100.66 is the decimal.
Step-by-step explanation:
100⅔ = 302/3
302 ÷ 3 = 100.66 to infinity.
a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres
Answers
Answer:
7 m
Step-by-step explanation:
Use the pythagorean theorem.
a^2+b^2=c^2
7.5 is your hypotenuse and 3 is one of your legs.
7.5^2 - 3^2 = 47.25
the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.
