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How many lines of symmetry does the symbol for a state capital have?
The solution is:
The figure has 4 lines of symmetry.
- A vertical line through the middle of the figure.
- A horizontal line through the middle of the figure.
- The two diagonals through the figure are lines of symmetry too.
What is line of symmetry?In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
here, we have,
Explanation
Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.
For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.
So, the other lines of symmetry for this include
- A horizontal line through the middle of the figure
- The two diagonals through the figure are lines of symmetry too.
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HELP ASAP. Find the set.
Given:
The given sets are:
[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]
[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]
[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]
[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]
To find
The set [tex]B\cap U[/tex].
Solution:
We have,
[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]
[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]
[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]
[tex]B=\{2,4,6,8\}[/tex]
Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.
[tex]B\cap U=\{2,4,6,8\}[/tex]
[tex]B\cap U=B[/tex]
Therefore, the correct option is A.
Calculate the rate of change for the following data
PLEASE HELP!
I have this question worth 20 points if you can answer it. Go to my questions and it's the one before this.
Which expression should you simplify to find the 90% confidence interval, given a sample of 90 people with a sample proportion of 0.25? O A. 0.25 +90 0.25(1-0.25) 1.645 OB. 0.25 + 1.645-0.25 90 O C. 0.25 +1.645 0.25(1-0.25) 90 O D. 0.25 +1.645. V0.25(1–0.25) 90 SUBMIT
Answer:
Option c:
[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
You have access to first year enrolment records and you decide to randomly sample 119 of those records. You find that 89 of those sampled went on to complete their degree. This means that [tex]n = 119, \pi = \frac{89}{119} = 0.7478[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Sample of 90 people with a sample proportion of 0.25
This means that [tex]n = 90, p = 0.25[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]
Which is option c.
Which of the following systems of linear inequalities is represented by the
solution graphed below?
Answer:
please make the drawings cleared
Mention 3 places
where you can get
pre-approved for a
car loan
Answer:
Auto Credit Express, Carvana, Capital one auto loan
If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is
(7, -1),(2, -8),(0, 0),(6, 6)}
(-8,-1, 0,6)
(0, 2, 6, 7)
9514 1404 393
Answer:
(0, 2, 6, 7)
Step-by-step explanation:
The range is the list of 2nd numbers in the ordered pairs:
(0, 2, 6, 7)
PLZ HELP ASAP !! WILL MARK THE BRAINLYIST !!!
Solve for X
A) 40
B) 42
C) 45
D) 38
Answer:
C : 45
Step-by-step explanation:
Have a nice day :)
the perimeter of rectangle math is 297 cm. the ratio of the length to width is 3:8. what is the width of the rectangle?
Answer:
Width = 108 cm
Step-by-step explanation:
Perimeter = 2 x (length + width)
297 = 2 x (length + width)
148.5 = Length + width
Ratio of Length to Width = 3 : 8
Sum of ratio = 11
[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]
Pls help, i just need Jonah's
Answer:
they are just diffrent varibless of numbers
Step-by-step explanation:
The height of the wall is 77 inches tall. What is its height in feet?
Answer:
6.41667
Step-by-step explanation:
Answer:
I think 6.4
Step-by-step explanation:
hope it's help
If x) = -3x - 5 and g(x) = 4x - 2, find (f + g)(x).
A. (1+ g)(x) = -x + 3
B. (1+0)(x) = x - 7
C. (1+ g)(x) = 7x - 7
D. (1+)(x) = -7x-3
Answer:
(f + g)(x) = x - 7 (Answer B)
Step-by-step explanation:
To find (f + g)(x) add together the like terms of f(x) and g(x):
(f + g)(x) = -3x - 5 + 4x - 2, or
(f + g)(x) = x - 7 (Answer B)
The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie
Answer:
Radius ≈ 7 yd
Step-by-step explanation:
Height = 10
Volume = 1540
Missing radius
Use the formula and work backwards
Formula : πr²h
Plug in the given info:
1540 = 3.14 * r² * 10
Work backwards:
1540/10 = 3.14 * r²
154 = 3.14 * r²
154/3.14 = r²
49.044 = r²
√49.044 ≈ 7
Radius = 7
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the sum of 10 and the product of 12 and s in agebraic expression
Answer and Step-by-step explanation:
10 + 12s would be the algebraic expression.
Because 10 is being added to the product of 12 and s, meaning 12 and s multiply each other.
#teamtrees #PAW (Plant And Water)
Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please
Answer:
final answer:
y-1= 3x_6
To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.
.
.
A perpendicular bisector crosses a line segment. Which type of angle does it
form with the segment?
A. Acute
B. Straight
C. Right
D. Obtuse
Answer:
C. Right
Step-by-step explanation:
Hi there!
Perpendicular lines always create right angles when they intersect each other. This is what makes them perpendicular. Therefore, the perpendicular bisector forms a right angle with the line segment.
I hope this helps!
SOMEONE SMART PLEASE HELP!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
Height = 10 yd
Step-by-step explanation:
GIVEN :-
Area of the triangle = 32 yd²Base of the triangle = 6.4 ydTO FIND :-
The height of the triangleGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
For a triangle with base 'b' & height 'h' , its area = [tex]\frac{1}{2} \times b \times h[/tex]
SOLUTION :-
[tex]Area = \frac{1}{2} \times Base \times Height[/tex]
[tex]=> 32 = \frac{6.4h}{2}[/tex]
[tex]=> 6.4h = 32 \times 2 = 64[/tex]
[tex]=> h = \frac{64}{6.4} = 10\: yd[/tex]
¿Cual es la fórmula del trapecio?
Ayuda plis
Answer:
Por lo tanto, el área de la fórmula de trapecio se da como: Área de un trapecio, A = h (a + b) / 2 unidades cuadradas. "h" es la altitud o altura. Sea a y b la longitud de los lados paralelos de un trapecio ABCD, como a es la longitud de la base y b es la longitud del lado paralelo a a.
Step-by-step explanation:
If triangle ABC is reflected across the y-axis and then rotated 90 degrees clockwise about the origin, what would the coordinates of point A’ of the transformed triangle be?
Answer:
A' (2,-1) B' (4.-1) C' (1,-4)
Step-by-step explanation:
Answer:
(-2,-1)
Step-by-step explanation:
Có bao nhiêu hoán vị {1.2….9} mà 4,5,6 không đứng cạnh nhau theo thứ tự tăng dần
Answer: razon de ser
Step-by-step explanation:
Tu eres como agua Clara que lluvi del suelo
What is an equation that is true for all values of the variable
Answer:
x=x
Step-by-step explanation:
The product of a number n and 2 is 2. 50 POINTS
Answer: The equation is 2n = 2
4-2x=22 relationship can be written as
Answer:X=-9
Step-by-sep explanation:
4-2X=22
Move towards
⇒-2X=22-4
Multiply -1
⇒2X=-18
Divide by two
⇒X=-9
Karim had a packet of 200 chocolates. He gave 35% of them to his sister. How many chocolates were left with him?
Answer:
Karim had 130 chocolates left.
Step-by-step explanation:
The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing
100% (which is what he started with) - 35% = 65%
65% of 200 Change 65% into a fraction
65/100 * 200 Multiply 200 * 65
13000 / 100 Divide by 100
130
Answer:
130 left
Step-by-step explanation:
35% of 200 chocolates is equal to 70 chocolates.
200-70=130 chocolates
this circle has a diameter of 5 inches which of these measurements is closest to the circumference of the circle 15.7 7.85 31.4 19.625
Answer:
The closest measurement is 15.7
Step-by-step explanation:
The formula for circumference is [tex]2\pi r[/tex]
The diameter is double the radius, so to get the radius we divide by 2.
5 divided by 2 is 2.5
Knowing "r" is 2.5 we can plug that into our equation and solve.
2 · [tex]\pi[/tex] · 2.5 ≈ 15.71
The closest measurement is 15.7
in a fruit basket there were 24 oranges and the rest were lemos if 20% of fruits were lemons how many fruits were there altogether
Answer:
30
Step-by-step explanation:
.2(24 + L) = L
.48 + .2L = L
.48 = .8L
6 = L
24 + 6 = 30
What would the next figure in the geometric pattern below be?
Answer:
C.
Step-by-step explanation:
If PO and RS intersect to form four right angles, which statement is true?
O A. POIRS
O B. PO - RS
O C. PO and RS are parallel
O D. PO and RS are skew
PEASE HELP
Answer
its A
Step-by-step explanation:
The length of PQ is perpendicular to RS. The correct option is A.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.
Given that the PO and RS intersect to form four right angles. If PO and RS intersect to form four right angles, the side PQ should be perpendicular to the side RS.
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Express the product of (1/2x - 5/3) and (1/2x-1) as a trinomial in simplest form.
[tex]\longrightarrow{\green{ \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( \frac{1}{2} x - \frac{5}{3} ) \times ( \frac{1}{2} x - 1) \\ \\ = \frac{1}{2} x \: ( \frac{1}{2} x - 1) - \frac{5}{3} \: ( \frac{1}{2} x - 1) \\ \\ = \frac{ {x}^{2} }{4} - \frac{x}{2} - \frac{5x}{6} + \frac{5}{3} \\ \\ = \frac{ {x}^{2} \times 3 }{4 \times 3} - \frac{x \times 6}{2 \times 6} - \frac{5x \times 2}{6 \times 2} + \frac{5 \times 4}{3 \times 4} \\\\ = \frac{3 {x}^{2} - 6x - 10x + 20}{12} \\ \\ = \frac{3 {x}^{2} - 16x + 20 }{12} \\\\= \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Prove that : ⬆️⬆️⬆️
Anyone please solve that question.