Based on my experiences so far, the approach to geometry that I prefer is: Euclidean Geometry. This is because the problems are easy to visualize since they are restricted to two-dimensional planes.
Which approach is easier to extend beyond two dimensions?The approach that is easier to extend beyond two dimensions is Euclidean Geometry. Again, this is because of how it deals with shapes and visualization of the same.
Take for instance a triangle; it is easy to go from a two-dimensional equilateral triangle to a square pyramid.
What are some situations in which one approach to geometry would prove more beneficial than the other?Analytical geometry is a superior technique for discovering objects (points, curves, and planes) based on their qualities in some situations than Euclidean geometry is in others (for example, when employing topography or building charts).
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Quadrilateral WXYZ has vertices W(2, 10), X(10, 10), (10,2), and Z(2, 2). Determine if quadrilateral WXYZ is a rhombus.
A. No, quadrilateral WXYZ is not a rhombus.
B. Yes, quadrilateral WXYZ is rhombus because the sides are perpendicular.
C. Yes, quadrilateral WXYZ is a rhombus because the slopes of the diagonals are perpendicular.
D. There is not enough information to determine.
Please select the best answer from the choices provided
Answer:
B. Yes, quadrilateral WXYZ is rhombus because the sides are perpendicular.
Step-by-step explanation:
1) according to the given coordinates the equations of the sides are:
YZ: y=2; WZ: x=2; WX: y=10; XY: x=10. It means
2) YZ⊥WZ; YZ⊥XY; WX⊥XY; WX⊥WZ. To the additional, WX=WZ=YZ=XY, then
3) the given quadrilateral is sqare (rhombus with angles m∠=90°).
4) finally, the correct answer is
B. Yes, quadrilateral WXYZ is rhombus because the sides are perpendicular.
What u
Is 2(x+3) / 4(x+1)
Answer:
Step-by-step explanation:
2 ( x + 3 ) / 4 ( x + 1 )
2 (x + 3) ÷4 (x + 1)
2 (x + 3) ÷ 2×2(x+1)
cancel out the 2 in the numerator with the 2 in the denominator
(x + 3) ÷ 2(x + 1)
x+3 / 2(x+1)
Eve has two more marbles than Solene. Solene has twice as many marbles as Steve. Steve has 7 less marbles than eve. How many marbles do they have in all?
A. 27 B. 20 C. 34 D. 13
Using a system of equations, the total number of marbles that they have is given by:
A. 27.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
Variable x: Eve's marbles.Variable y: Solene's marbles.Variable z: Steve's marbles.Eve has two more marbles than Solene, hence:
x = y + 2.
Solene has twice as many marbles as Steve, hence:
y = 2z -> z = y/2.x = 2z + 2.Steve has 7 less marbles than eve, hence:
z = x - 7.
Hence:
[tex]\frac{y}{2} = x - 7[/tex]
y = 2(x - 7)
y = 2(y + 2 - 7)
y = 2y - 10
y = 10.
Then:
x = y + 2 = 10 + 2 = 12.z = x - 7 = 12 - 7 = 5.Hence the total is given by:
T = 12 + 10 + 5 = 27.
Which means that option A is correct.
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Plss HELPP I neeed help on this question
Answer: 180 degrees
Step-by-step explanation:
The measure of the arc of a semicircle is 180 degrees.
Which equation has a constant of proportionality equal to 1/2
Choose 1 answer:
In the given figure, ABCD is a parallelogram. Find x, y and z.
Answer:
it is 18 by unknown number
3. Find how many numbers between 232 and 252.
Answer:
252-232=20-1=19
Step-by-step explanation:
the question said in between so you don't count the first and the last numbers
14 men and 10 women started a pie eating contest. At the second round, 2 men and 2 women dropped out of the contest. What is the percentage of women that proceeded to the next round?
Answer: 80%
Step-by-step explanation:
Since only 2 out of 10 women dropped out, 10 - 2 = 8
One woman = 10%, 8 x 10% = 80%
The percentage of the women who moved to the next stage is 80%.
What is the percentage?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
Women who moved to the next stage: 10 - 2 = 8
(8/10) x 100 = 80%
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To estimate the height of a totem pole, Jorge uses a small square of plastic. He holds the square up to his eyes and walks backward from the pole. He stops when the bottom of the pole lines up with the bottom edge of the square and the top of the pole lines up with the top edge of the square. Jorge's eye level is about 2 m from the ground. He is about 3 m from the pole. Which of the following is the best estimate of the height of the totem pole?
The height of the pole is 6.50 meters
How to calculate the height?To calculate the height of the pole, we will use of the following equivalent ratios.
By Pythagoras theorem, we have:
[tex]x ^2 = 2^2 + 3^2\\\\x ^2 = 4 + 9\\\\x = \sqrt{13}[/tex]
So, we have:
[tex]h = \dfrac{\sqrt{13}^2 }{2} \\\\h = \dfrac{13}{2}\\\\h = 6.5[/tex]
Hence, the height of the pole is 6.50 meters
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The function f(x) is shown in this graph.
The function g(x) = -7x-1.
Compare the slopes.
f(x)
(0.3)
A. The slope of f(x) is greater than the slope of g(x).
B. The slope of f(x) is less than the slope of g(x)..
C. The slope of f(x) is the same as the slope of g(x).
I need help
Answer:
A maybe?
Step-by-step explanation:
by looking at the graph you can see there are two points with one being at (0, 3) (given) and the other being at (1, 1) (by looking at the graph). You can use the slope formula (y2 - y1) / (x2 - x1) which gives you the slope.
Plug Values In:
(1-3) / (1-0) = -2/1 = -2
slope of f(x) = -2
slope of g(x) = -7 (slope-intercept form y=mx+b where m is the slope and b is the y-intercept)
I'm honestly not quite sure what it means by greater than since technically the slope of f(x) is greater than the slope of g(x) but does it mean how much it's changing by in which case the sign doesn't matter. Although I'm just going to assume it purely means the value in which case A is true.
An open rectangular box with a volume of 12 cubic meters has a length that is 5 times the width. Express the surface area of the box as a function of the length of a side of the base, x.
The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 5x²+(24/5x)+(24/x).
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Let the width of the rectangular box be x. Therefore, the length of the box is 5x. Now, the height of the box can be written as,
Volume of the box = length × width × Height
12 = 5x² × H
H= 12 / 5x²
Further, the surface area of the open box is,
Surface area of the box
[tex]= (5x \times x) + 2(h \times x) + 2(5x \times h)\\\\= (5x^2) + 2(\dfrac{12}{5x^2} \times x) + 2(5x \times \dfrac{12}{5x^2})\\\\\\= 5x^2 + \dfrac{24}{5x} + \dfrac{24}{x}[/tex]
Hence, the surface area of the prism is 5x²+(24/5x)+(24/x).
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A coin is flipped, and a number cube is rolled. What is the probability of getting heads on the coin and a number greater than 5 on the number cube?
HELPPP
Answer:
1/3
Step-by-step explanation:
Find the slope of the curve y=2/x at x=a.
Answer:
We are given:- y=2/xWe need to find the slope of the curve at x=a.Step-by-step explanation:
Solution,
We use the slope formula, setting x=a :
[tex] \displaystyle{{{{ \lim_{h \to0}}}} \frac{ \frac{2}{x + h} - \frac{2}{x} }{h} = \lim_{h \to0} \frac{ \frac{2}{a + h} - \frac{2}{a} }{h} }[/tex]
[tex] \displaystyle{ \lim_{h \to0} \frac{ \frac{2a - 2(a + h)}{a(a + h)} }{h} = \displaystyle{ \lim_{h \to0} \frac{2a - 2(a + h)}{ha(a + h)} }}[/tex]
[tex] \displaystyle{ \lim_{h \to0} \frac{2a - 2a - 2h}{ha(a + h)} = \displaystyle{ \lim_{h \to0} \frac{ - 2h}{ha(a + h)} }}[/tex]
[tex] \displaystyle{ \lim_{h \to0} \frac{ - 2}{a(a + h)} = - \frac{ 2}{ {a}^{2} } }[/tex]
Therefore, The slope of the curve y=2/x at x=a is -2/a^2.
Hello, I need help understanding the following question.
Answer:
option b, y = 3/4x - 11
Step-by-step explanation:
Parallel lines have the same slope,
slope = rise / run where the rise is 3 and the run is 4
slope = 3/4
The line is in a upwards trend making the slope positive making choice c and d incorrect
The line passes through (8, -5)
y = 3/4x + b, (x, y)
-5 = 3/4(8) + b
-5 = 6 + b
-5 - 6 = 6 - 6 + b
-5 - 6 = b
-11 = b
y = 3/4x - 11
Please answer I will mark u brainliest or wtv its called
Answer:
B) 10 cm
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Formula: [tex]a^2 + b^2 = c^2[/tex]
a = legb = legc = hypotenuseWe can plug in the values for each leg to solve for the hypotenuse.
Solve for c[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 8^2 = c^2[/tex][tex]36 + 64 = c^2[/tex][tex]100 = c^2[/tex][tex]\sqrt{100} = \sqrt{c^2}[/tex][tex]10 = c[/tex]The answer is Option B: 10 cm
Suppose you work 45 hours at a rate of 7.25 per hour pluse overtime pay for any hours over 40. You also received a 2% commission on the $800 of chinatableware you sold. Your paycheck lists 324.25 as your gross earnings is that correct
No, your paycheck is incorrect. The gross salary will be 342.25.
What is the gross salary?The amount of money paid to any employee without any deductions of the taxes or anything is called as gross salary.
The gross salary will be calculated as follows:-
40x 7.25= $290.00 (base salary)
5x 7.25 = 36.25 (overtime)
.02x 800= 16.00 (commission)
Gross salary will be = 36.25 + 16 + 290 = $324.25
Therefore your paycheck is incorrect. The gross salary will be 342.25.
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need help please don't know the answer
It costs $164.34 to rent a standard-size car for 5 days. Find the price per day to rent this car.
pls asap need it rn.
Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.
Since for the two of the given triangle, the measure of all the corresponding angles is the same. Also, all the corresponding sides are in a common ratio.
9/3 = 12/4 = 15/5 = 3
Therefore, the two of the given triangles are similar triangles.
Hence, the correct option is A.
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How do l do this please help
The attached graph represents the graph of the parallel lines
How to plot the lines?The equation of the lines are linear equation
A linear equation is represented as:
y = mx + b
Where b represents the y-intercept.
Using the above form of linear equation as a guide, the equations of the lines are
y = -x + 5
y = -x + 2
y = -x - 3
y = -x - 2
Where -5, 2, -3 and -2 are the given y-intercepts and y = -x is the base equation.
Next, we plot the equations on a coordinate grid
See attachment
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Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s strings play out. He measures the angle of elevation from his hand to the kite to be 24∘. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer: 46.0 ft
Step-by-step explanation:
[tex]\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}[/tex]
So, the distance above the ground is [tex]105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}[/tex]
Another quick geometry question! Thanks!
aron bought an almirah for $1520 and sold it at a profit of 12 1/2% what is the selling price
Answer:
$1710
Step-by-step explanation:
let me know if you want an explanation :))
What is the solution to this system of equations y=3x-4 4y=12x-4 a no solution b (0,4) C Infinite solutions
Answer:
C
Step-by-step explanation:
y = 3x - 4
4y = 12x - 4
divide the bottom equation by 4
y = 3x - 4
y = 3x - 1
y = -3
3x - 1 = -3
3x = -2
x = -2/3
(-2/3, -3) is the answer. by this logic, there is a splution so can't be a, the answer is not (0, 4) so not b so it must be c
A parallelogram ABCD is shown with DC equal to 8 feet and the perpendicular distance between AB and DC equal to 3 over 4 foot. Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer:
6,3
Step-by-step explanation:
hope this helps
the math section in part B shows the equation for the area of a triangle, but this math could be skipped with a similar problem if you just divide the parraellogram by 2. (logic section)
Hi supreme turtle this is the question
Answer:
< $0 --------------$35------ $50>
Step-by-step explanation:
wait that's not the full question but uh I assume that's 30% off $50?
it would be 0.3x50 which is 15 and 50-15 is 35.
the range is 0 - $50 if I'm not mistaken
< $0 -------------------------- $50> scuffed number line
but 35 is somewhere around here?
< $0 --------------$35------ $50>
convert the proof to the paragraph format
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right.
Since AC, MN and DB intersect at O, ∠AOM ≅ NOC and ∠MOD ≅ ∠BON by the vertical angles theorem. It is given that ∠BON ≅ ∠NOC, so by the transitive property of congruence, ∠AOM ≅ ∠MOD
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Select the graph that represents two quantities in a proportional relationship
The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-
Y = 2x
Put y = 0.5
0.5 = 2 x 0.5 = 1
As we put y=0.5 we get the value of x = 1 as shown in the graph.
Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.
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PLEASE ANSWER NOW I DON'T HAVE 1 MINUTE
A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Roll Outcome
1st even
2nd prime
3rd multiple of 5
Answer:
answer is 5
Step-by-step explanation:
I think so
if yes L I k e
factorise b^2 + 7b + 10
Step-by-step explanation:
b²+7b+10
Common factors are 5,2
b²+7b+10
b²+2b+5b+10
b(b+2)+5(b+2)
(b+2)(b+5)
Hope it helps.✨✨
