Answer:
If two angles have common side and they shares common vertex, they are called adjacent angles.
When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.
Two angles shown in diagram are adjacent as they are on common side.
Both the angles are on a straight line, hence
Subtracting 109 from both sides
Both angles shown in diagram are opposite to each other, hence vertical angles.
As they are opposite to each other, they both are equal.
Subtracting x from both sides
Subtracting 1 from both sides
Both angles are having a common side means they are adjacent angles.
As they are on straight line, both angles will add up to 180 °.
Subtracting 96 from both sides
Dividing from 6 in both sides
Hope it will help :)
Using appropriate properties find 2/3 x (– 3/5) + 1/5 x 4/3 + 2/3 x ( – 3/2)=
Answer:
- [tex]\frac{17}{15}[/tex] -1 [tex]\frac{2}{15}[/tex] , 1.13
Step-by-step explanation:
The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28
Answer
6x<-12
Step-by-step explanation:
Answer:
There would be 2 answers in this case:
C. 6x > 32
and
D. 21 + x < 28
Step-by-step explanation:
A. Incorrect
6-13 = -7, and -7 is NOT greater than 7
B. Incorrect
6(6) = 36, and 36 is NOT less than -12.
C. Correct
6*6 = 36, which is greater than 32.
D. Correct
21+6 = 27, which is less than 28.
Help me to do this question plz plz plz
Answer:
area of parallelogram=base *height
Answer:
area =36cm²
Step-by-step explanation:
area of parallelogram= b×h
9×436cm²hope it helps stay safe healthy and happy..Could someone please help me with this question? Thanks.
Answer:
Step-by-step explanation:
MM oute le iloa
Please help guys!
Use point slope formula please
Answer:
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Step-by-step explanation:
The Point Slope formula is a algebraic formula used for
when we know it slope When we know a pair of coordinatesThe formula is
[tex]{y - y _1} = m(x - x_1)[/tex]
We are given its slope and we know a pair of points
Note a y intercept is (0,b). Where b is any real number so our points are (0,2).
Plug it in the expression
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
3,369,090 divided by 56
Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
HELP HELP HELPPPP PLEASEEE
Directions: Determine if segments AB and CD are parallel, perpendicular, or neither.
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Given:
AB formed by (-2,13) and (0,3).
CD formed by (-5,0) and (10,3).
To find:
Whether the segments AB and CD are parallel, perpendicular, or neither.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
AB formed by (-2,13) and (0,3). So, the slope of AB is:
[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]
[tex]m_1=\dfrac{-10}{2}[/tex]
[tex]m_1=-5[/tex]
CD formed by (-5,0) and (10,3). So, slope of CD is:
[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]
[tex]m_2=\dfrac{3}{10+5}[/tex]
[tex]m_2=\dfrac{3}{15}[/tex]
[tex]m_2=\dfrac{1}{5}[/tex]
Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.
[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]
[tex]m_1\times m_2=-1[/tex]
Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.
Hence, the segments AB and CD are perpendicular.
Answer:
AB is perpendicular to CD.
Step-by-step explanation:
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of a line passing through two points is
[tex]m= \frac{y''-y'}{x''- x'}[/tex]
The slope of line AB is
[tex]m= \frac{3- 13}{0+2} = -5[/tex]
The slope of line CD is
[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]
As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.
PLS HELP ASAP¡!!!
A P E X MATH
Answer:
Step-by-step explanation:
Is there an image to see?
what is the commen diffrence for this geometric sequnce 4,24,144,864
Answer:
your answer is in the attachment... hope this helps you.!!!!Christina cycles 2 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.
Answer:
y=2x
Step-by-step explanation:
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 27 - 27
B. 7
C.7, -2
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
Pls answer 13 b ill mark u brainlist
Answer:
7 students
Step-by-step explanation:
1+2+4=7students
Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030
I really need some help with this question also.
A) 2/5
B) 3/5
C) 11/25
D) 14/25
Simplify (square root)2/^3(square root)2
A. 2^1/6
B. 2^1/3
C. 2^5/6
D. 2^3/2
Answer: Personally I would do option "B" 2 1/3 because it sounds right.
PLEASE ANSWER ASAAPPPPPPPP
Answer:
3
Step-by-step explanation:
Sam has 24 ball he gives 1/3 to Rita. How many ball did he give to Rita?
Answer:
8
Step-by-step explanation:
Find 1/3 of 24, which is 8.
Answer:
Sam gave 8 balls to Rita.
Step-by-step explanation:
24 / 3 = 8
1/3 of 24 is 8, therefore Sam gave 8 balls to Rita.
whats the equation of this horizantal line
Answer:
[tex]y=-7[/tex]
Step-by-step explanation:
Hope this helps you.
Answer:
y = — 7
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
4x2 -28x-32 fully factored
GCF=4
4(4x^2/4+-28x/4+-32f/4)
=4(x^2-7x-8f)
Hello,
[tex]4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\[/tex]
hhhhhhhhhheeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp
Answer:
40°
Step-by-step explanation:
As sum of angles of the triangle is 180°
therefore the third angle will be 180 -( 75 + 65)=40°
x=40°= vertically opposite angle
Answer:
x = 40°
Step-by-step explanation:
a + 65 + 75 = 180 {Angle sum property}
a + 140 = 180
a = 180 - 140
a = 40
x = a {Vertically opposite angles}
x = 40°
a watch was bought for RS 4444. at what price should it be sould to gain rs444?
Answer:
Rs4000
Step-by-step explanation:
Given data
Step one
Selling price =RS 4444
Gain =rs444
Cost price =???
We want to find the cost price
Cost price =selling price - gain
Cost =4444-444
Cost=Rs4000
which choice is equivalent to the expression below when x less than or equal to 0
Answer:
b
Step-by-step explanation:
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?
Answer:
The function is:
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Step-by-step explanation:
Given
[tex]height = 3ft[/tex]
[tex]velocity = 50ft/s[/tex]
[tex]acceleration = -16ft/s^2[/tex]
Required
The function
Let t represents time;
So, we have:
[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]
So, we have:
[tex]f(t) = -16* t^2 + 50* t + 3[/tex]
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Answer:
b on edge
Step-by-step explanation:
A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan
Answer:
2400
Step-by-step explanation:
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
so, let's calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
resolver:
[5+(-3+6)+(-2)]-[(-4+10)+(-3)-(-5)]
i need help ASAP. PLEASE.
Answer:
1st one
Step-by-step explanation:
If Q is the midpoint of PR, find the coordinates of R if P(11,-2) and Q(4,3).
Answer:
R = (-3, 8).
Step-by-step explanation:
Recall the midpoint formula:
[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
Where M is the midpoint, (x₁, y₁) is one point and (x₂, y₂) is another.
We are given that Q is the midpoint of PR, where P = (11, -2) and Q = (4, 3) and we want to find the coordinates of R.
Substitute Q for M and let P(11, -2) be (x₁, y₁). Hence:
[tex]\displaystyle (4, 3)=\left(\frac{11+x_2}{2}, \frac{-2+y_2}{2}\right)[/tex]
Split into two separate equations:
[tex]\displaystyle \frac{11+x_2}{2}=4\text{ and } \frac{-2+y_2}{2}=3[/tex]
Solve for each case:
[tex]\displaystyle 11+x_2=8\Rightarrow x_2=-3[/tex]
[tex]\displaystyle -2+y_2=6\Rightarrow y_2=8[/tex]
Therefore, our second point (x₂, y₂) is (-3, 8).
Hence, R = (-3, 8).
Answer:
(15/2),(1/2)
Step-by-step explanation:
(x1 + x2 / 2) , (y1 + y2) / 2)
(11 + 4 / 2) , (-2 + 3 / 2)
(15/2) , (1/2)
How many combinations of pennies, nickels, and/or dimes are there with a total value of 35 cents?
Answer:
3 dimes 1 nickel
Step-by-step explanation:
1 dime = 10 cents
3×1 dime = 30 cents
1 nickel = 5 cents
3 dimes + 1 nickel
= 30 cents + 5 cents
= 35 cents
Hello,
there are 20 combinations making a total of 35 cents
In qb64
Dim p As Integer, n As Integer, d As Integer, s As Integer, nb As Integer
nb = 0
For p = 0 To 35
For n = 0 To 7
s = 1 * p + 5 * n
If s < 36 Then
For d = 0 To 3
s = p + 5 * n + d * 10
If s = 35 Then
nb = nb + 1
Print nb, p; n; d
End If
Next d
End If
Next n
Next p
End
Una recta pasa por los puntos A(-40) y B(2,-3).calcular su área
Answer:
Supongo que la pregunta completa es:
"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"
Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).
Por lo que el área de esta recta no está definida.
Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.
Sabemos que una recta se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:
a = (-3 - 0)/(2 - (-4) )
a = -3/6 = -1/2
Entonces nuestra línea es algo como:
y = (-1/2)*x + b
para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)
esto significa que cuando x = 2, tenemos que tener y = -3
reemplazando esos dos valores obtenemos
-3 = (-1/2)*2 + b
-3 = -1 + b
-3 + 1 = b
-2 = b
La ecuación que define a esta recta es:
y = -(1/2)*x - 2
Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.
an object falls from a height, h m, varies directly as the square of its time, t s on planet Q. given that the object falls from the height of 5 m in 2 s, calculate the time taken in seconds, for the object to fall from a height of 45 m on the planet.
Answer:
18 seconds
Step-by-step explanation:
5x9=45 so 2x9=18
