Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?

Given:

The shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

[tex]A=\pi r^2[/tex]

Substituting [tex]r=3[/tex], we get

[tex]A=\pi (3)^2[/tex]

[tex]A=9\pi[/tex]

It is given that the shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

The area of shaded sector [tex]=\dfrac{1}{3}A[/tex]

                                             [tex]=\dfrac{1}{3}(9\pi)[/tex]

                                             [tex]=3\pi[/tex]

Therefore, the area of shaded sector is 3π sq. cm.

Answer:

hope this helps

you will find all answer in the photo i sent

Answer: 6 for $4.99

Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83

If you were to buy 6 for .89 you would end up spending $5.34.

Hope this helps :)

Answer:

6 for 4.99

Step-by-step explanation:

.89 x 6= 5.34

Answer:

385=80x+45

x=4.25 hours

Answer:

Step-by-step explanation:

q = 51

Writing these statements symbolically, we get p = k/q.  This is inverse variation.

Solving for k, we get k = pq.  Thus the governing equation is k = pq, or k = (17)(15) = 255.

We then have a specific equation:  p = 255/q, or q = 255/p.

If p is 5, q is   q = 255/5 = 51

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

Answer:

18.

Step-by-step explanation:

Answer:Im pretty sure it's 25% percent loss

Step-by-step explanation:

sorry if im wrong

Answer: 7,833

Step-by-step explanation:

Answer:

17 feet

Step-by-step explanation:

L² = 15² + 8² = 225 + 64 = 289

L = √289 = 17 feet

Answer:

do you need the area or the perimiter?

Answer:

39 degrees

Step-by-step explanation:

tan^-1(100/125)

=39 degrees (cor. to the nearest degree)

Answer:

27 degrees

Step-by-step explanation:

So looking at this rhombus, we can make out 4 seperate traingles.

How many degrees are in a traingle? 180.

Looking at the traingle with z angle in it, we can see that it is a right traingle.

Now, lets subtract that 90 degrees from the 180.

This leaves us with the 63 degrees and x that make up the 90 degrees that are left.

Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.

90 minus 63 is 27, so the angle of z is:

27 degrees

I hope this helps!

Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.

Answer:

2 x 3 x 5

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

Answer:  

588245.  

Step-by-step explanation:  

nth term = an = a1 r^(n-1)   where a1 = the first term  

a3 = 35 = a1  7^(3 - 1)  

35 = a1* 49  

a1 = 35/49 = 5/7  

So the 8th term = (5/7)* (7)^7

= 588245

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct

Answer:

They are both correcte

Step-by-step explanation:

Imagine a pizza with 6 slices

Half of 6 slices is 3 slices, or 3/6

If you simplify 3/6, you will get 1/2

So, both fractions are equal, but in different forms.

For better context see images below!

Answer:

2d) d = 60°

3a) x = 50°

Step-by-step explanation:

2d) both of the diagonals pass through the centre of the circle and divide the rectangle into 4 triangles,then it means that;

30 + d = 90°

d = 90 - 30

d = 60°

3a) since O is the centre of the circle, and we can see that the 2 chords directly above and below the centre are parallel to each other, it means that angle x = 50° since the two sides projecting from the centre to form x° and 50° are equal and in essence used to form isosceles triangle.

Answer:

first, second and fourth are all correct

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

They are using 135 times the weeks, but the car already had 100 miles on it to start.  Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.

Answer:

$75000

Step-by-step explanation:

Given data

Let her yearly earnings be x

so

40% of x= $30000

40/100*x=30000

0.4x=30000

x=30000/0.4

=$75000

Hence the total amount made per years is

$75000

Answer:

d

Step-by-step explanation:

[tex]x 1= \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ x2 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ x1 = \frac{ - 2 + \sqrt{ {2}^{2} - 4\times 1 \times ( - 3)} }{2} = 1 \\ x2 = \frac{ - 2 - \sqrt{ {2}^{2} - 4 \times 1 \times ( - 3)} }{2} = - 3[/tex]

Answer:

d

Step-by-step explanation:

Solving by factorising

Given

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Answer:

The percent of the air ticket went up 148%  plus the baggage fee would be 168%. The new total is 420$

Step-by-step explanation:

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

Answer:

32+48

Step-by-step explanation:

80- 32= 48

80-48= 32

Answer:  32; 48

Step-by-step explanation:

Let x be the smaller number, and y be the larger number, then we get

x + y = 80

x - y = 16

x - y = 16

x = 16 + y

x + y = 80

16 + y + y = 80

16 + 2y = 80

2y = 64

y = 32

x - y = 16

x - 32 = 16

x = 48

Answer:

It is A

Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts

produced.

Step-by-step explanation:

:)