Answers
Answer: Yes, Substitution property is the correct option.
Step-by-step explanation:
Substitution property of equality says that if 'a= b', then 'a' can be substituted in for 'b' in any equation, and 'b' can be substituted for 'a' in any equation.Given: m∠A+m∠B =70° ...(i), m∠X=m∠A
Then, substitute m∠X for m∠A in (i) , we get
m∠X+m∠B =70°
So, the correct option is "Substitution property"
Related Questions
Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings
Answers
Answer:
2.08 meters
Step-by-step explanation:
From the diagram attached :
We can calculate the height of the shorter building using trigonometry :
s = Height of shorter building
t = height of taller building
Tanθ = opposite / Adjacent
θ = 36°
Adjacent = 12, opposite = s
Tan36° = s / 12
0.7265425 × 12 = s
s = 8.72 meters
s = height of shorter building 8.72 meters ( 2 decimal places)
Height of taller building :
Tanθ = opposite / Adjacent
θ = 48°
Adjacent = t ; opposite = 12
Tan48° = 12 / t
1.1106125 = 12 / t
1.1106125 × t = 12
t = 12 / 1.1106125
t = 10.80 meters ( 2 decimal places)
Height of Taller building = 10.80 meters
Difference in height :
(10.80m - 8.72m) = 2.08 meters
what is a irrational number between 9.5 and 9.7
Answers
Step-by-step explanation:
x be an irrational number between 9.5 and 9.7.
So, we consider that x = 9.562536941412578914...
Rounding to the nearest hundredth
x = 9.56.
9.56763865854637984..... (rounded 9.57)
irrational because it has no pattern
Answer: [tex]\large \sqrt{91}[/tex]
Step-by-step explanation:
An irrational number is a square root in its simplest form.
We want an irrational number between 9.5 and 9.7
[tex]\huge 9.5<\sqrt x <9.7[/tex]
square all sides 90.25 < x < 94.09
Answer: The square root of any number between 90.25 and 94.09 will work so there are an infinite number of possible answers. [tex]\sqrt{91}, \sqrt{92}, \sqrt{93}, \sqrt{94}[/tex]
Evalute n2+2N for N=5
Answers
Answer:
Hey there!
Do you mean- [tex]n^2+2n?[/tex]
If so, then your answer would be 5^2+2(5), or 35.
Let me know if this helps :)
root 64 divided by root 3 64
Answers
Answer:
4
Step-by-step explanation:
4x4x4=64
Answer:
0.4193
Step-by-step explanation:
Root 64=8
Root 364=19.08...in 4 s.f
8÷19.08=0.4193...in 4 significant figures (4s.f)
John needs $8,000 to buy a car. So far, he has saved $5,600. What percent of the price of the car has he saved
Answers
Answer:
70%
Step-by-step explanation:
So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer
1. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day? 1
Answers
Answer:
the smallest number of clients that could be interviewed each day is 2
Step-by-step explanation:
From the information given, we are being told that:
Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs.
On the first day, the agency plans to interview clients in groups of 2.
This implies that , a single group contains 2 clients
On the second day, the agency will interview clients in groups of 4.
This implies that, a single group contains 4 clients
If the employment agency will interview the same number of clients on each day,
the objective is to determine the smallest number of clients that could be interviewed each day.
We we are meant to find out here is the Lowest Common Multiple i.e the L.C.M of the group of clients.
So,
the factors of 2 = 1 , 2
the factors of 4 = 1, 2 and 4
The lowest common multiple from the above factors is 2
Therefore, the smallest number of clients that could be interviewed each day is 2
What are the vertical asymptotes of the function above?
1) x= -1 and x = -2
2) x= -1 and x = 2
3) x= 1 and x = -2
4) x = 1 and x = 2
Answers
Answer:
third option
Step-by-step explanation:
Given
f(x) = [tex]\frac{5x+5}{x^2+x-2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.
solve x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
The vertical asymptotes are x = 1 and x = - 2
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answers
Answer:
[tex] 9.3 + b = 14.5 [/tex]
Step-by-step explanation:
Longest side of ∆ = 2a = 6.2 cm
If the shortest side is, a, and we are told that the longest side is twice the shortest side, therefore, length of shortest side is
The sum of the 3 sides = perimeter = 14.5 cm
Thus,
[tex] a + 2a + b = 14.5 cm [/tex]
Plug in the values of a and b
[tex] 3.1 + 6.2 + b = 14.5 [/tex]
The equation that can be used to find the side lengths is [tex] 9.3 + b = 14.5 [/tex]
Which property is shown in the matrix addition below?
5
-1
0
5
-7
0.4
0
-7
0
0.4
+
+
+
6.2
-8.5
-9.9
6.2
-9.9
-8.5
12
0
2
12
0
2
inverse property
identity property
commutative property
associative property
Help please!
Answers
Answer:
associative property
The solution is, property is shown in the matrix addition below is
associative property.
Here, we have,
The property shown in the given matrix addition is associative property.
Let's define associative property first,
The Associative Property of Addition for Matrices states :
Let A , B and C be m×n matrices .
Then, (A+B)+C=A+(B+C) .
Associative Law of Addition of Matrix:
Matrix addition is associative. This says that, if A, B and C are Three matrices of the same order such that the matrices B + C, A + (B + C), A + B, (A + B) + C are defined then A + (B + C) = (A + B) + C.
Since P and Q are of the same order and pij = qij then, P = Q.
Here, from the given information,
we get, A , B and C be 4×1 matrices,
and, (A+B)+C=A+(B+C)
So, The solution is, property is shown in the matrix addition below is
associative property.
To learn more on matrix click:
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En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8
Camionetas tipo Pick-up y 2 automóviles deportivos.
Cl costo de producción y el precio de venta de cada vehículo es el siguiente:
Costo de
Vehículo
Precio de
Producción Venta
SEDAN
SEDAN
DEPORTIVO
$140,000 $185.000
SUV
$250,000
$320,000
VAN
$310,000
$400,000
PICK-UP
PICK-UP
$210,000
$285,000
VAN
DEPORTIVO
$400,000
$550,000
SUV
Cada año transcurrido, posterior a su fabricación, el precio de venta de los
vehículos disminuye una octava parte de su valor.
a suponiendo que en un día se vendan los vehículos en igual cantidad de los
que se fabricaron, como podrías calcular la ganancia?
b
Si la fábrica trabajara solo 12 horas, existe una forma de calcular cuántos
vehiculos se fabrican, ¿cuantos se fabricaron en este lapso? Sustenta tu
respuesta
Answers
Answer:
a. La ganancia es de $ 4,060,000.00
b. 31 vehículos
Step-by-step explanation:
(a) Los parámetros dados son;
El número de automóviles tipo sedán fabricados = 24
El número de camiones tipo SUV fabricados = 16
El número de camiones tipo VAN fabricados = 12
El número de camionetas pick-up fabricadas = 8
El número de autos deportivos fabricados = 2
La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000
La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000
La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000
La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000
La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000
La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000
(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas
Por lo tanto, tu fabricado
12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.
Which number is equal to 10^-3?
-1,000
-30
0.001
0.003
Answers
Work Shown:
10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001
The rule used here is x^(-k) = 1/( x^k )
Answer:
C. O.001
Step-by-step explanation:
10^-3 = (1)/(10^3)
move the negative exponent to the denominator
(1)/(1000)
simplify 10^3 in the denominator
(1)/(1000) = 0.001
x - (-20) = 5 _________________
Answers
X - (-20) = 5
When you subtract a negative, change it to addition:
X + 20 = 5
Subtract 20 from both sides:
X = -15
Answer:
[tex]\boxed{x=-15}[/tex]
Step-by-step explanation:
[tex]x-(-20)=5[/tex]
[tex]\sf Distribute \ negative \ sign.[/tex]
[tex]x+20=5[/tex]
[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]
[tex]x+20-20=5-20[/tex]
[tex]x=-15[/tex]
The distance between two schools A and B is 2km.A market is situated 3/4 of the distance from A to B.How far is the market from B?
Answers
Answer:
0.5 km
Step-by-step explanation:
the schools are 2km apart, so we are trying to find 3/4 of 2km, which is 1.5. So, the market is 1.5km from school A, which means that it is .5km from school b since they are 2km apart
Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1. In order to calculate his total score, you pick the two top scores and add them. What is his total score?
Answers
Answer:
14.6
Step-by-step explanation:
In the question, we are told that:
Yivgeny's gymnastics scores were 1.5, 1.7, 5.5, and 9.1.
In the question, we are also told that to calculate his total score, we add his top two scores.
Yivgeny's top two gymnastics scores are:
5.5 and 9.1.
Hence, his total scores = 5.5 + 9.1
= 14.6
Yivgeny's total scores = 14.7
How many three-digit positive integers [tex]x[/tex] satisfy [tex]3874x+481\equiv 1205 \pmod{23}[/tex]
Answers
Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
_____
The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
Which of the following is an example of the difference of two squares?
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.
Answers
Answer:
1) What does it mean when a polynomial equation is in standard form?
All terms are on one side of the equation, and zero is on the other side.
2) When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?
It should be written as 8x−15x.
3) Is the given equation a quadratic equation? Explain.
x(x−6)=−5
The equation is a quadratic equation because there is an x2-term.
4) Which of the following factored forms given below represent the correct factorization of the trinomial x2+10x+16?
(2+x)(8+x)
5) Which of the following is an example of the difference of two squares?
x2−9
Step-by-step explanation:
I hope this helps you out ☺
A binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:
A. [tex]x^2 - 9[/tex]
Recall:
Difference of two squares is when you have a binomial that is expressed as [tex]x^2 - y^2[/tex].The first and second term of the binomial will have an exponential of 2 wile the subtraction sign will be in the middle.Thus, from the options given, option A: [tex]x^2 - 9[/tex] is an example of a binomial that is the difference of two squares.
This is why:9 can be expressed as [tex]3^2[/tex].
In summary, a binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:
A. [tex]x^2 - 9[/tex]
Learn more here:
https://brainly.com/question/16139579
how many are 1 raised to 5 ???
Answers
Answer: 1.
Step-by-step explanation: 1^5 is really just 1, 5 times.
1*1*1*1*=1
Derivative of sin3x using first principle
Answers
[tex]\displaystyle f(x)=\sin(3x)\\\\\\f'(x)=\lim_{h\to0}\dfrac{\sin(3(x+h))-\sin(3x)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{\sin(3x+3h)-\sin(3x)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{2\cos\left(\dfrac{3x+3h+3x}{2}\right)\sin\left(\dfrac{3x+3h-3x}{2}\right)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{2\cos\left(\dfrac{6x+3h}{2}\right)\sin\left(\dfrac{3h}{2}\right)}{h}\\\\f'(x)=\lim_{h\to0}\dfrac{2\cos\left(\dfrac{6x+3h}{2}\right)\sin\left(\dfrac{3h}{2}\right)}{\dfrac{3h}{2}}\cdot\dfrac{3}{2}[/tex]
[tex]\displaystyle f'(x)=\lim_{h\to0}2\cos\left(\dfrac{6x+3h}{2}\right)\cdot\dfrac{3}{2}\\\\f'(x)=\lim_{h\to0}3\cos\left(\dfrac{6x+3h}{2}\right)\\\\f'(x)=3\cos\left(\dfrac{6x+3\cdot 0}{2}\right)\\\\f'(x)=3\cos\left(\dfrac{6x}{2}\right)\\\\f'(x)=3\cos(3x)[/tex]
The derivative of sin 3x using first principles is; 3cos(3x)
We want to find the derivative of sin 3x using first principles.
Step 1;
f'(x) = [tex]\lim_{h \to \ 0} \frac{(sin3(x + h)) - sin(3x)}{h}[/tex]
Step 2; Expand the bracket to get;
f'(x) = [tex]\lim_{h \to \ 0} \frac{(sin(3x + 3h)) - sin(3x)}{h}[/tex]
Step 3: According to trigonometric identities, we know that;
sin A - sin B = [tex]2cos\frac{A + B}{2} sin\frac{A - B}{2}[/tex]
Applying that to the answer in step 2 gives;
f'(x) = [tex]\lim_{h \to \ 0} \frac{2(cos\frac{(3x + 3h + 3x)}{2}) sin\frac{(3x + 3h - 3x)}{2})}{h}[/tex]
Step 4; Simplify the brackets to obtain;
f'(x) = [tex]\lim_{h \to \ 0} \frac{2(cos\frac{(6x + 3h)}{2}) sin\frac{(3h)}{2})}{h}[/tex]
Step 5; Rewrite the denominator to get;
f'(x) = [tex]\lim_{h \to \ 0} \frac{2(cos\frac{(6x + 3h)}{2}) sin\frac{(3h)}{2})}{\frac{3h}{2}*\frac{2}{3}}[/tex]
Step 6; Input the limit of 0 for h to get;
f'(x) = [tex]\frac{2(cos\frac{(6x)}{2}) sin\frac{(0)}{2})}{\frac{0}{2}*\frac{2}{3}}[/tex]
⇒ f'(x) = [tex]\frac{2(cos3x)}{2/3} \frac{ 0}{{0}}[/tex]
0/0 = 1. Thus;
f'(x) = 3cos(3x)
Read more about differentiation from first principles at; https://brainly.com/question/5313449
2 divided by 3 + 2 divedes by 3 +3 divided by 3 =?
Answers
Answer:
1/5
Step-by-step explanation:
1/5
2/3+3/3+4/3
=2/5*3/6
= 1/5
I'm not sure.
Answer:
The answer should be 0.022
. Find the sum of the geometric sequence. (1 point) 1, one divided by four, one divided by sixteen, one divided by sixty four, one divided by two hundred and fifty six
Answers
Answer:
0.332
Step-by-step explanation:
given series
1/4, 1/16,1/64.1/256
this is geometric series
where common ratio r is given by
nth term/ (n-1)th term
let the second term is nth term and first term is (n-1)th term
r = 1/16 / (1/4) = 1/4
___________________________________________
sum of series is given by
a (1-r^n)/1-r
where a is first term
n is the number of terms
r is the common ration
___________________________________________
in the given series
1/4, 1/16,1/64.1/256
a = 1/4
r = 1/4
n = 4
thus ,
sum = 1/4(1-(1/4)^4)/ (1-1/4)
sum = 1/4(1-(1/256)/(4-1)/4
sum = 1/4((256-1)/256 / 3/4
1/4 in numerator and denominator gets cancelled
sum =( 255/256*3) = 255/768 = 0.332
Thus, sum of series is 0.332.
Answer:
341/256
Step-by-step explanation:
I took the test and got the answer right
You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341
Solve the equation
(If possible please show work)
Answers
Answer:
Step-by-step explanation:
-8 + 8a = -12 + 4a
4a - 8 = -12
4a = -4
a = -1
Answer:
a = -1
Step-by-step explanation:
[tex]4(-2+2a) = -12 +4a\\-8+8a=-12+4a\\8a = -4 +4a\\4a=-4\\\frac{4a}{4} =\frac{-4}{4} \\a=-1[/tex]
I hope that makes since... I tried to show my work the best I could.
the product of 5 and z
Answers
Answer:
5z
Step-by-step explanation:
As product = multiplication =>
5 x z --> 5(z)
[tex]\text{Find the product of 5 and z}\\\\\text{The key term in this questions is product, and in math it translates to}\\\text{the answer when multiplled}\\\\\text{In this case, you would multiply them together to get your "product"}\\\\\text{Solve:}\\\\5\cdot z\\\\\boxed{5z}[/tex]
Write the equation of the line which passes
through the points (4,2) and (-3, 1)
Answers
Answer:
y = 1/3x + 4/7
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Formula: y = mx + b
Step 1: Find slope m
m = (1 - 2)/(-3 - 4)
m = -1/-7
m = 1/7
y = 1/7x + b
Step 2: Find y-intercept b
1 = 1/7(3) + b
1 = 3/7 + b
b = 4/7
Step 3: Write linear equation
y = 1/3x + 4/7
Which type(s) of symmetry does the following object have?
Select all that apply.
Answers
Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.
We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.
We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.
Answer:
Theres more than one answer so b and a
Step-by-step explanation:
PLS HELP ME A THANK YOU AND A BRAINLIST WILL BE REWARDED!!!! :)
Answers
Answer:
[tex]\Large \boxed{{(10x+10)=110}}[/tex]
Step-by-step explanation:
Vertical opposite angles are equal.
[tex](10x+10)=110[/tex]
Answer:
The answer is C.
Step-by-step explanation:
Reason:
For the angles shown, angle (10z+10)° is the same with 110°
So the equation is (10z+10)° = 110°
That's the answer. (C).
Question is in the pic I really suck at this stuff can I get some help plssssss
Answers
Answer:
see below
Step-by-step explanation:
The hypotheses is the if part of the statement ( after the if)
hypotheses: it is January
The conclusion is the then part of the statement ( after the then)
conclusion there is snow
Determine the equation of the graph and select the correct answer below.
(1, 1-3)
Courtesy of Texas Instruments
Answers
Answer:
y = (x -1)² -3
Step-by-step explanation:
A quadratic with a vertex at (h, k) will have an equation of the form ...
y = a(x -h)² +k
You have (h, k) = (1, -3), and a vertical scale factor* of 1. So, the equation of the graphed curve is ...
y = (x -1)² -3
_____
* One way to determine the value of "a" in the form shown is to look at the vertical difference between the vertex and the points 1 unit right or left of the vertex. Here, those points are 1 unit above the vertex, so the vertical scale factor "a" is 1.
All of Ralph's ranch land was divided equally among his six children whose daughter land portion of the ranch land was divided among her four children how much of Roslyn was in Inherited by 1 of Lynn's children
Answers
Complete question:
All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?
Answer:
1 / 24
Step-by-step explanation:
Number of Ralph's children = 6
Number of Lynn's children = 4
If Ralph's land were divided equally among his six children, the fraction each child gets equals
Proportion of land / number of children
= 1 / 6
Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.
If 1/6 is shared equally between her four children, then ;
Her portion ÷ 4
(1/6) ÷ 4
(1/6) × (4/1)
= 1/ 24
Each of Lynn's children gets 1 / 24
(x-y)²-(x+y)² a)0 b)2y² c)-2y² d)-4xy e)-2(x+y)²
Answers
Answer:
D
Step-by-step explanation:
-4xy
will be your answer after factoring
Answer:
d
Step-by-step explanation:
Given
(x - y)² - (x + y)² ← expand both factors using FOIL
= x² - 2xy + y² - (x² + 2xy + y²) ← distribute by - 1
= x² - 2xy + y² - x² - 2xy - y² ← collect like terms
= - 4xy → d
Which function has only one x-intercept at (-6, 0)?
Of(x) = x(x-6)
O f(x) = (x - 6)(x - 6)
f(x) = (x + 6)(x - 6)
Of(x) = (x + 6)(x + 6)
Answers
Answer:
f(x) = (x + 6)(x + 6)
f(x)=0
x+6=0 ⇒ x=-6
Set (x+6)(x+6) equal to zero and solve each equation for x. We really only have one equation and it would be x+6 = 0 which solves to x = -6.
Plug x = -6 into f(x) and you would get f(x) = 0.
