A. ASA Postulate
B. HL Theorem
C.AAS Theorem
D. SAS Postulate

The expression 9x2/3 can be written in fraction form as, 18/3

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

9 times 2/3 can be calculated by first converting 9 to a fraction and then multiplying that fraction by 2/3. To convert 9 to a fraction, we write it over 9/1 x 2/3

Next, we multiply the two fractions by multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together:

⇒ (9/1) x (2/3)

⇒ (9 x 2) / (1 x 3)

⇒ 18/3

So, 9 times 2/3 as a fraction is 18/3.

To know more about Fraction check:

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Answer:

The . correct answer will be C

Step-by-step explanation:

Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

2

Step-by-step explanation:

I think it 4/2 because I multiplied it

Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

Step-by-step explanation:

.25 or 1/4 hope this helps

Answer:

1/4

Step-by-step explanation:

Any expression divided by itself equals 1

1/4÷1

Any expression divided by 1 remains the same

1/4

the solution is 1/4

Answer:

51.92 square inches

Step-by-step explanation:

Area of a circle = (pi)(r^2)

if the diameter is 7, the radius is 3.5

A = 3.14 x 3.5

A = 10.99 cm^2 for one cookie

10.99 x 12 for a dozen = 131.88 cm^2

converting cm to inches, you divide by 2.54

131.88/2.54 = 51.92 square inches.

LMK if you have questions.

Answer:

11n

Step-by-step explanation:

Answer:

64 ounces is the best buy

Step-by-step explanation:

To figure which size is the best to buy, find the cheapest per ounces one

A: 16 ounces costs $2.56, each ounces cost 2.56/16 = $0.16

B: 36 ounces costs $5.40, each ounces cost 5.40/36 = $0.15

C: 64 ounces costs $8.96, each ounces cost 8.96/64 = $0.14

D: 96 ounces costs $14.40, each ounces cost 14.40/96 = $0.15

From the results above, C cost lowest per ounces,

64 ounces is the best buy

Answer:

jhhfhgk

Step-by-step explanation:

Answer:

Hey, the correct nswer is option A

Step-by-step explanation:

A. V = [tex]\pi[/tex]r3

Answer:

729

Step-by-step explanation:

9x9x9 = 729 in^3

Answer:

Step-by-step explanation:

a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.​

Answer:

2

Step-by-step explanation:

2 x 2 x 2 = 8

9514 1404 393

Answer:

  24 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

  V = (1/3)(3 cm²)(8 cm) = 24 cm³

The volume of the pyramid is 24 cm³.

9514 1404 393

Answer:

  1.1 ∠LKR = 90°

  1.2 ∠R = 32°

  1.3 ∠N = 32°

Step-by-step explanation:

1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.

  ∠LKR = 90°

__

1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...

  ∠R = 90° -58°

  ∠R = 32°

__

1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.

  ∠R = ∠N = 32°

Answer:

X + 4 = 48

Step-by-step explanation:

Before hat purchase :

Michael has $68

Craig has $24 less than Michael;

Hence, Craig = $68 - $24 = $44

Michael purchased hat worth, $20

x = amount Craig has after Michael purchase hat:

x = Amount Michael has - $24

Amount Michael has after hat purchase = $68 - $20 = $48

x + 4 = 44 + 4

X + 4 = 48

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

x^2=105625+250000

x^2= 355625

x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

Given:

[tex]ST=4y,TU=2y+6[/tex]

To find:

The value of  y, ST and TU.

Solution:

In triangle STV and UTV,

[tex]m\angle TSV\cong n\angle TUV[/tex]            (Given right angles)

[tex]m\angle SVT\cong n\angle UVT[/tex]            (Given)

[tex]TV\cong TV[/tex]            (Common side)

The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.

[tex]\Delta STV\cong \Delta UTV[/tex]           (AAS congruence postulate)

Corresponding parts of congruent triangles are congruent. So,

[tex]ST\cong UT[/tex]              (CPCTC)

[tex]4y=2y+6[/tex]

[tex]4y-2y=6[/tex]

[tex]2y=6[/tex]

[tex]y=3[/tex]

Now,

[tex]ST=4y[/tex]

[tex]ST=4(3)[/tex]

[tex]ST=12[/tex]

And,

[tex]TU=2y+6[/tex]

[tex]TU=2(3)+6[/tex]

[tex]TU=6+6[/tex]

[tex]TU=12[/tex]

Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].

Answer:

1800

Step-by-step explanation:

Complete question :

Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.

Answer:

12500 mm²

Step-by-step explanation:

The front face of the mode consista of both triangle and rectangle

Area of rectangle :

Height * Base

Height = 200 m ; Base = 50

Area = 200 m * 50 m = 10,000 mm²

Area of triangle :

1/2 * base * height

1/2 * 50 * (300 - 200)

1/2 * 50 * 100

= 2500 mm²

Area of front face = Area of rectangle + Area of triangle

Area of front face = (10,000 + 2500) m²

Area of front face = 12500 mm²

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

x^2– y^2 = 24 .... 1

x= 3 + 2y .... 2

Substitute 2 into 1

(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

y^2-4y-5 = 0

y^2+5y - y - 5 = 0

y(y+5) - 1 (y+5) = 0

y-1 = 0 and y+5 = 0

y = 1 and -5

Substitute the values of y into 2

Recall that x = 3+3y

when y = 1

x = 3 + 2(1)

x = 5

when x = -5

x = 3 + 2(-5)

x = 3 - 10

x = -7

Hence the solutions are (5, 1) and (-5, -7)

Answer:

_ = 48

Step-by-step explanation:

7 (3 + 5) = 8 + _

7 x 3 + 7 x 5 = 8 + _

21 + 35 = 8 + _

56 = 8 + _

_ = 56 - 8

_ = 48

Hope that helps!

Answer: x = 48

PEMDAS

7  (3 + 5) = 8 + x

7  (8) = 8 + x

56 = 8 + x

isolate x by subtracting 8

48 = x

Answer:

Step-by-step explanation:

Notice that the difference is in the y-intercept.  The first equation has a y-intercept of 0 since y = 4x + 0, the second has a y-intercept of 1 since

y = 4x + 1.  In other words, the graph is translated up 1 unit to cross at (0,1) instead of (0,0)

Answer:

the fist one is A and the second one is D

Step-by-step explanation:

Answer: pretty sure 25 feet

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

30/80=37.5 percent

Answer:

37.5% of students say English is their favorite subject

Step-by-step explanation:

30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)

0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!

Answer:

their total collected is $135.45

Step-by-step explanation:

travis collect 20% more than Jessica

if travis collect $43 then

20% of 43

43 × 20 ÷ 100 = $8.6

Jessica collected $8.6 less than travis

$43 - $8.6 = $34.4

and Robin collect 35% more than travis

35% of 43

43 × 35 ÷ 100 = $15.05

therefore Robin collect $15.05 more than travis

$43 + $15.05 = $58.05

their total collected

Jessica collected $34.4

robin collected $58.05

travis collected $43

total

$34.4 + $58.05 + $43 = $135.45

Pay attention in class