Determine the value of x in the diagram below when lines a and b are parallel.
at
(2x - 5)
b
(x + 20°
25°
15°
0 000
75°
55°

Answer:

30 cubic feet

Step-by-step explanation:

volume of a pyramid is (l*w*h)=3

assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10

x^3=30

x=30^(1/3)

volume of a cube is l*w*h, with our assumption, that translates to x*x*x

Volume = 30^(1/3)*3 = 30 cubic feet

The volume of the cube, in relation to the given pyramid is: 30 cubic feet.

Relating both volumes, we would have:

Volume of cube = 3(volume of pyramid)

Volume of pyramid is given as 10 cubic feet, therefore:

Volume of the cube = 3(10)

Volume of the cube = 30 cubic feet.

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Answer:

2/18 = 1/9

Step-by-step explanation:

She has a total of 18 menus, so that is our denominator. 2 are for Thai food, so that is our numerator.

2/18 = 1/9

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

[tex] \frac{5.76}{12} = 0.48 \: [/tex]

Answer:

17

Step-by-step explanation:

If Point T is on the line segment S U, then ST + TU = SU

Given;

ST=2

TU = 15

Substitte

SU = ST + TU

SU = 2 + 15

SU = 17

Hence the length of SU is 17

Answer:

try mathaway algebra type in the equation and youll get an answer right away

Step-by-step explanation:

Answer:

Geometric mean of 2 numbers is a square root of the product.

Given  8,10

Geometric mean = √(8*10)

=√80

= √(16*5)

= 4√5

========================================================

Explanation:

8 jars need 1.8 kg of caster sugar.

Cut each value in half to see that 4 jars need 0.9 kg of caster sugar.

Convert 0.9 kg to grams to get 900 grams (multiply by 1000 to go from kg to grams).

Jayne needs 900 grams of caster sugar. She has 860 grams already, which means she needs an additional 900-860 = 40 grams

Answer:

Step-by-step explanation:

8x-9+2+9x=180 degree(being co interior angles)

17x-7=180

17x=180+7

x=187/17

x=11 degree

Answer:

11

Step-by-step explanation:

consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.

8x-9 + 2+9x = 180

-7 + 17x = 180

-7+7     180+7 = 187

17x = 187

17x/17 = 187/17

x=11

Answer:

I looked ot up on calculator and it had said 1.6666666

Answer:

15

Step-by-step explanation:

If you multiply 3 by 5, you have the answer of 15.

Or

X / 3 = 5

Multiply both sides by 3 to clear the fraction.

x=15

Answer:

c. po dahil Wala po Dian Ang answer

Step-by-step explanation:

sana po makatulong

Answer:

the first one is 1.667

Step-by-step explanation:

5/3=1.667

10/6=1.667

and so on

Sorry i dont know the second one

Answer:

n=8

Step-by-step explanation:

[tex]\frac{n+4}{2}=6[/tex]

n+4=6*2

n+4=12

n=12-4

n=8

The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

SACAN MÃ QR VÀ NHẬN CÂU TRẢ LỜI

VUI LÒNG ĐƯA TÔI Ở BRAINLIEST

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

<1 = 1/2(104-56)

<1 = 1/2(48)

<1 = 24

Answer:

A, you bad the correct answer

Step-by-step explanation:

^

5x=3x+12

5x-3x=12

2x=12

x=6

Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.

The total area of the room = 125 + 22.5 = 147.5 square feet.

Answer:

147.5ft²

Step-by-step explanation:

10 × 12¹/₂ = 125

5 × 4¹/₂ = 22¹/₂

Total area = 125 + 22¹/₂

Total area = 147¹/₂ = 147.5

Answer:

128

Step-by-step explanation:

set up a proportion of # books sold/hours = # books sold/hours

let 'b' = # books sold

32/2.5 = b/10

cross-multply to get:

2.5b = 320

b = 320/2.5

b = 128

Answer:

First use this formula=  V=4/3πr^3

r=radius

Step-by-step explanation:

answer: 2144.66 I think. I might be wrong. Please let me know if I'm wrong.

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

Answer:

9,

Step-by-step explanation:

if you look at the pattern its just adding up all the numbers above so its nine

Answer:it’s b

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

The two angles are supplementary (their sum is 180 degrees)

96 + b = 180

b = 180 - 96

b = 84

Answer:

The mean score in the maths test for class B was 12.41 points.

Step-by-step explanation:

Given that Class A has 12 pupils and class B has 29 pupils, and both classes sit the same maths test, and the mean score for class A is 52 while the mean score for both classes is 24, to determine what is the mean score in the maths test for class B the following calculation must be performed:

52 x 12 + X x 29 = 24 x (12 + 29)

624 + 29X = 24 x 41

624 + 29X = 984

29X = 984 - 624

X = 360/29

X = 12.41

Therefore, the mean score in the maths test for class B was 12.41 points.

Answer:

A. [tex]\frac{2}{8}[/tex]

B. [tex]\frac{6}{6}[/tex]

C. [tex]\frac{8}{4}[/tex]

Step-by-step explanation:

For A pick a fraction that is less than a whole number.

For B pick a fraction that is a whole number.

For C pick a fraction that is greater than a whole number.

Answer:

I'm confused to.

Step-by-step explanation: