[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.[tex] \large{ \tt{❁ \: LET'S \: START }: }[/tex]
Set up an equation & solve for p :[tex] \large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}[/tex]
[tex] \large{ \tt{↦ \frac{1}{2} p = p - 30}}[/tex]
[tex] \large{ \tt{↦ \frac{1}{2} p - p = - 30}}[/tex]
[tex] \large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}[/tex]
[tex] \large{ \tt{↦p - 2p = - 60}}[/tex]
[tex] \large{ \tt{ ↦ \: - p = - 60}}[/tex]
[tex] \large{ \tt{↦p = 60}}[/tex]
The value of p is 60[tex] \large{ \tt{❇ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}[/tex]
Hence , WZ = 30 .♪ Success is not a magic or miracle , it's not a luck , it's full of late night hard work , compromises & sacrifices.
♡ Hope I helped ! ツ
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NEED HELP FAST!!!! PLEASE HELP!!
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2
Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
Which situation has a probability of 1/2?
A. picking the number “5” from the integers 1 to 10
B. rolling an odd number on a fair 6-sided number cube
C. randomly choosing the letter “s” from the word “Mississippi”
D. randomly choosing a boy out of a class containing 8 boys and 12 girls
Answer:
a
Step-by-step explanation:
1/2 of 10 is 5
Answer: b
Step-by-step explanation:
there are 6 numbers on a regular dice. 3 even, 3 odd
Calcula el área de un rombo cuya diagonal mayor mide 10 cm y cuya diagonal menor es la mitad de la mayor.
Respuesta:
25 cm²
Explicación paso a paso:
El área A de un rombo tiene:
A = pq / 2
Donde pyq son las diagonales
Tomando p como la diagonal más grande = 10 cm
Diagonal más pequeña, q = 1/2 * 10 = 5cm
Por lo tanto, el área del rombo es:
A = (10 * 5) / 2
A = 50/2
A = 25 cm²
help hgfgghchjhgfuutfifiuiffiy
Answer:
105, n+5
Step-by-step explanation:
add five to each input
The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?
Answer:
B
Step-by-step explanation:
y=e^x+3
The width of a rectangle is represented by 2x and the length is represented by x2-x+ 3. Which expression represents the area of the rectangle?
Answer:
2x^3-2x^2+6x
Step-by-step explanation:
The area of a rectangle is
A = l*w
A = ( x^2 -x+3) * (2x)
Multiply
A = x^2 *2x -x*2x +3 *2x
A = 2x^3-2x^2+6x
Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M. Una hora mas tarde se encuentra a 109 km de La Romana sabiendo que la distancia de Santo Domingo a La Romana es de 130 km
V: velocidad
T: tiempo
D: distancia
V= D/T
Answer:
Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Step-by-step explanation:
Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:
130 - 109 = 21 km por hora
130 / 21 = 6.19
1 = 60
0.19 = X
0.19 x 60 = 11.4
Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.
Find the gradient of the line segment between the points (-3,2) and (4,4).
Answer:
slope = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]
Answer:
= 2
7
Step-by-step explanation:
slope = y2 - y1
x2 - x1
=4 - 2
4 - -3
= 2
7
y - 4 = 2
x - 4 7
7(y - 4) = 2(x - 4)
7y - 28 = 2x - 8
7y = 2x - 8 + 28
7y = 2x + 20
7 7 7
Gradient = 2
7
Determine if the points A(1,-3), B(4,4), and C(5,8) are collinear.
0 Yes
Ο Νο.
O We do not have enough information to solve this problem.
Answer:
no
Step-by-step explanation:
since;
(4--3)/(4-1)≠(8-4)/(5-4)
Select all expressions that are
equivalent to 8x + 2 – (4x — 2)
(Select all that apply.)
8x + - 4x + 2 + 2
8x + 2 – 4x – 2
8x - 4x + 2 – 2
8x + 2 + - 4x - -2
8x + 4
Answer:
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
Step-by-step explanation:
Solving for the above expression
8x + 2 – (4x — 2)
Step 1
Expand the brackets
8x + 2 - 4x + 2
Step 2
Collect like terms
8x - 4x + 2 + 2
Step 3
4x + 4
Therefore, the expressions that are
equivalent to 8x + 2 – (4x — 2)
a) 8x + - 4x + 2 + 2
d) 8x + 2 + - 4x - -2
What are plane shapes
Answer:
A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.
Answer:
A closed two dimensional or flat shape figure is called plane shape.
find the measure of angle TFM
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
Solve the system of equations – 2x + y = –8 and 4x– 6y = –24 by combining
the equations.
Answer:
4
Step-by-step explanation:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
This Bar Chart shows the number of computers sold each month at a local computer store during one year.
Which measure(s) of central tendency can be used to determine the average number of computers sold each month?
A. the median
B. the mean
C. the mean and the median
D. the mode
in the diagram find angle mQR
Answer:
[tex]mSQR=1/2m~SR\\[/tex]
[tex]75=1/2m~SR[/tex]
[tex]mSR=150[/tex]
[tex]360=SR+QR+QS[/tex]
[tex]mQR=360-150-133[/tex]
[tex]mQR=77[/tex]
[tex]So, B ~ is ~ your~ answer[/tex]
-----------------------
hope it helps...
have a nice day!
Find the area of the figure. (Sides meet at right angles.)
Answer:
28 square feet
Step-by-step explanation:
the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.
10x2=20
4x2=8
20+8=28
The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?
Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)
find the domain f(x)=√x-6
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
Learn more about domain at:
https://brainly.com/question/1770447
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Brainliest, 40 points
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
stay safe stay happy
Explain why angle “a” must be 135
find the area of the given rectangle
a length= 25.8m
breadth = 14.5 m
Answer:
A =374.1 m^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
A = 25.8*14.5
A =374.1 m^2
Answer:
Area of rectangle is 374.1 m ²
Step-by-step explanation:
Given That :-Length of rectangle = 25.8 mBreadth of rectangle = 14.5 mTo Find :- Area of rectangleFormula Used :-Area of rectangle = Length × Breadth
Solution : -Using Formula
Area of rectangle = Length × Breadth
substitute the values.
Area of rectangle = 25.8 m × 14.5 m
multiply, we get
Area of rectangle = 374.1 m ²
Therefore, the area of rectangle is 374.1 m ²
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
The equation of a line is expressed as y = mx + b
m is the slope of the lineb is the y-interceptFor the blue line;
m = 1
Since the line cuts the line at y = 1, hence the y-intercept is 1
The required equation of the red line will be y > x + 1
For the red line;
m = 1
Since the line cuts the line at y = -2, hence the y-intercept is -2
The required equation of the red line will be y < x - 2
Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
Learn more on inequality graph here: https://brainly.com/question/9774970
Answer:
B Or y < x – 2 and y > x + 1
Step-by-step explanation:
y < x – 2 and y > x + 1
Given the function f(x) = −5x^2 − x + 20, find f(3).
Answer:
f(3) = -28
Step-by-step explanation:
f(3) = -5(3²) - 3 + 20
= -5(9) - 3 + 20
= -45 - 3 + 20
= -48 + 20
= -28
I need help Please and thank you
Answer:
Brett baseball went higher
Step-by-step explanation:
his maximum is a vertical that exceeds 80
State what additional information is required in order to know that the triangles are congruent for the reason given
PLz solve quick i need help asap. : )
Answer:
20 degrees
Step-by-step explanation:
the two angles must be congruent
4x - 23 = 2x + 17
2x = 40
x = 20