You need a box that has a volume of 6 ft3. Which box has this volume?

Box 1:
l = 3 ft
w = 2 ft
h = 2 ft Box 2:
l = 2 ft
w = 1 ft
h = 3 ft Box 3:
l = 2 ft
w = 3 ft
h = 4 ft

Given that ST = RT and PS and QR are produced to meet at T, the

congruency of the angles and the included side proves;

The given parameters are;

The given cyclic quadrilateral = PQRS

The produced side that meet at point T = PS and QR

ST = RT

Required:

To prove that PRS = QRS

Solution:

A two column proof is presented as follows;

Statement        [tex]{}[/tex]                               Reason

1. ST = RT        [tex]{}[/tex]                                 1. Given

2. ΔSRT is an isosceles triangle  [tex]{}[/tex]  2. Definition of isosceles triangle

3. ∠TSR ≅ ∠TRS     [tex]{}[/tex]                        3. Base angles of an isosceles triangle

4. ∠TSR = ∠TRS      [tex]{}[/tex]                        4. Definition of congruency

5. ∠TSR and ∠PSR, ∠TRS and ∠QRS are linear pair angles 5. Definition of linear pair angles

6. ∠TSR + ∠PSR = 180° and ∠TRS +∠QRS = 180°   6. Property of linear pair angles

7. ∠TSR + ∠PSR = ∠TRS +∠QRS,     7. Substitution property of equality

8. ∠PSR = ∠QRS      [tex]{}[/tex]                         8. Subtraction property of equality

9. ∠RQS in ΔRQS = ∠SPR in ΔSPR [tex]{}[/tex]                              9. Angle subtending the same arc formed at the circumference of a circle

10. ΔPRS ≅ ΔQRS           [tex]{}[/tex]                        10. By ASA rule of congruency

The Angle-Side-Angle rule of congruency states that if two angles and

an included side of one triangle are congruent to two angles and the

included side of another triangle, then the two triangles are congruent.

Learn more about congruency here:

https://brainly.com/question/2938476

Answer:

b

Step-by-step explanation:

b is undefined bc remember that slope is rise/run

if the "run" is 0, then that makes it rise/0  and dividing by 0 is undefined

a has a positive slope bc it goes up from left to right

c has a negative slope bc it goes down left to right

d has a slope of zero -- and it makes sense bc the rise=0 and dividing zero by a nonzero number will equal zero

Answer:

3n - 15

Step-by-step explanation:

3 multiplied by n which is 3n

Then 3 multiplied by 5 which is 15

So your answer is 3n - 15

Hope I helped :)

Please consider Brainliest

Answer:

[tex]=\frac{27}{125}[/tex]

Step-by-step explanation:

[tex]0.216[/tex]

[tex]\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}[/tex]

[tex]\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000[/tex]

[tex]=\frac{0.216\cdot \:1000}{1000}[/tex]

[tex]=\frac{216}{1000}[/tex]

[tex]216,\:1000[/tex]

[tex]\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}[/tex]

[tex]2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3[/tex]

[tex]2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]

[tex]=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5[/tex]

[tex]\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}[/tex]

[tex]=2\cdot \:2\cdot \:2[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8[/tex]

[tex]=8[/tex]

[tex]=\frac{8\cdot \:27}{8\cdot \:125}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:8[/tex]

[tex]=\frac{27}{125}[/tex]

Hence, the correct answer is [tex]=\frac{27}{125}[/tex]

Answer:

16.43

Step-by-step explanation:

Answer:

Step-by-step explanation:

here is the answer i hope this helps

250 - 250 * 12% = 250 * (1 - 12%) = 250 * 0,88

with x = fish number

=> P = 250 * 0,88 * x

Answer: A. P=250(0.12)x

Step-by-step explanation:

12%= 0.12

250 x 0.12 = the amount decreased by each week

Answer: 15

Step-by-step explanation:

The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.

From the task content;

The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.

Read more on polynomial division;

https://brainly.com/question/24662212

Answer:

11:40

Step-by-step explanation:

9:30 and 2 hours and 10min is 11:40

Answer: The answer would be 16.

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\11^2+12^2=c^2\\121+144=c^{2} \\\sqrt{265} =\sqrt{c^2} \\c=16.27\\c=16[/tex]

16 is the smallest possible whole number for the length of the third side. By using the Pythagorean Theorem, we are able to find the third side.

Answer:

tv-uv=tu

(7*3)-4=17

Step-by-step explanation:

45-(6x+10)= 7x-4

45-6x-10= 7x-4

35-6x=7x-4

+6x=+6x

35=13x-4

+4=+4

39=13x

x=3

Answer:

Today: Monday, 12 October 2020

Hour: 09.57 WIB (in Indonesian)

_________________________

Answer:

7 because length times width = volume

Answer:

Step-by-step explanation:

The length of the sides is 44 cm. Did you mean the diagonal? it is 44*sqrt(2) = 62.23

The area = side * side = 44 * 44 = 1936

Answer:

This is the correct answer with step by step explanation

Answer:

false

Step-by-step explanation:25.9cm is too big to connect to 15.9cm and 10 cm

Answer:

could you add more details? you only put ¨ if M¨

Step-by-step explanation:

Answer:

[tex]if \: m \: then \: m \: can \: be \: any \: variable.[/tex]

Answer:

10x+15y

Step-by-step explanation:

The equation in the standard form to represent this situation is 10x + 15y = 340.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that consider x to be the number of gift cards for ​$​10, and y to be the number of gift cards for ​$15.

Also it can purchase gift cards for $10 or ​$15 and have spent ​$340 on gift cards.

Therefore, equation would be;

10x + 15y = 340.

Hence, the equation in the standard form to represent this situation is 10x + 15y = 340.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

6 liters

Step-by-step explanation:

The ratio of lemons to water is 4:3. When the amount of lemons is 8, that menas the ratio is doubled, so then it is 8:6. The answer is 6 litres.

Answer:

I think you need more info

Answer:

Pretty sure the answer is 3 pounds you can pretty much repeatedly take away 8.17 from 80 till you get 55.49

80 - 8.17 = 71.83

71.83 - 8.17 = 63.66

63.66 - 8.17 = 55.49

so 3 Pounds since you took 8.17 three times to get 55.49

Answer:

0.77

Step-by-step explanation:

correct me if im wrong this is just what i got

Answer:

[x - 5]² + [y + 7]² = 6²

Step-by-step explanation:

It should be noted:

"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.

When the values are substituted:

[x - 5]² + [y - (-7)]² = 6²

⇒ [x - 5]² + [y + 7]² = 6² = 36

Answer:

No, because the last line of the work is not true. 5 and 11 are not equal.

Step-by-step explanation:

Answer:

D

Step-by-step explanation: it kinda shows the answer.

Answer:

The solution of (2,5) indeed equals the solution of the equation y=2x+1

Step-by-step explanation:

to solve just plug in the values.

y=2(2)+1 which gives us the y value of y=5

to solve for x, plug in y. 5=2x+1.

subtract 1 from both sides, and you get 4=2x

then divide 2 on both sides to get x, which is 2. therefore this is true.

please rate and mark as brainlest.

Answer: 7x + 6

Step-by-step explanation:

Use distribution property

(3x + 12)+(4x - 6)

Combine like terms

7x + 6

Answer:

7x + 6

Step-by-step explanation:

I hope this helps!

Answer:

the median is 36

Step-by-step explanation:

31, 34 , 34 , 35 37, 38 ,38 39

1.     2.    3.    4.  5.   6.   7.  8

(i put the numbers below because i like umm doing this weird technique where i count it)

since theres no median there then you have to add 35 and 37 then divide by 2

Answer:

CIAE

Step-by-step explanation:

Answer:

prime numbers between 20-30 are 23,29

prime numbers between 10-20 are 11,13,17,19

No,Steve is not right

Reason-there are two prime numbers between 20 to 30.Whereas there are 4 prime numbers between 10 to 20.

ANSWER

14.3

EXPLANATION

angle = 21⁰

opposite side = 5.5

adjacent side = x

Knowing this, we must use tangent (opposite / adjacent)

tan (21⁰) = 5.5 / x

x = 5.5 / tan (21⁰) (use calculator)

x= 14.3