State what additional information is required in order to know that the triangles are congruent
for the reason given.

The statements describe a cylinder are

(i) It has two bases

(ii) It has one lateral face

(iii) Its lateral face is a rectangle

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

"The top and bottom of a cylinder are called the bases. The height h of a cylinder is the distance between the two bases."

"The lateral surface of an object is defined as the area of all the sides of the object, excluding the area of its base and top. For a cylinder, the lateral surface area is the curved surface that connects the base and the top."

The statements describe a cylinder are

(i) It has two bases

(ii) It has one lateral face

(iii) Its lateral face is a rectangle

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Answer:

no problem

Step-by-step explanation:

to easy

Answer:

7 1/6 feet

Step-by-step explanation:

A scuba diver is 4 2/3 feet below the water.

She then dives another 2 1/2 feet

The total distance of the scuba diver below the water can be calculated as follows

= / - 2 1/2 -(-4 2/3)/

= / - 5/2 + 14/3 /

= / - 43/6/

= 7 1/6 feet

Answer:

12

Step-by-step explanation:

you start with multiplication so 1×2=2 then add 10 so the answer is 12

Answer:

12

Step-by-step explanation:

1x2=2+10=12

Answer:

BETWEEN 10 and 15

Step-by-step explanation:

Answer:

Change received by Kate = £1 and 20p

Step-by-step explanation:

Given that:

Cost of 1 meter ribbon = 55p

Ribbon bought by Kate = 16 meters

Cost of 16 meters = 16 * 55 = 880p

Amount paid by Kate = £10 = 1000p

Change received= 220p = £1.20

Change received = £1 and 20p

Hence,

Change received by Kate = £1 and 20p

Obtuse

Hope this helped!

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

Step-by-step explanation:

Solving

3x + -6y = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

3x + -6y + 6y = 42 + 6y

Combine like terms: -6y + 6y = 0

3x + 0 = 42 + 6y

3x = 42 + 6y

Divide each side by '3'.

x = 14 + 2y

Simplifying

x = 14 + 2y

The slope of the equation 3x +6y = 42 is - 1 / 2.

The slope of a line is the change in the dependent variable with respect to the change in the independent variable.

Therefore, the equation a line can be represented in slope intercept form as follows;

y = mx + b

where

Therefore,

3x + 6y = 42

6y = -3x + 42

divide both sides by 6

y = -3x / 6 + 42 / 6

y = - 1 / 2 x + 7

Therefore, the slope is - 1 / 2.

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Answer:

I belive it would be 2:6:3

Step-by-step explanation:

I think this is right

Answer:

4:6:3

Step-by-step explanation:

If 2 red = 3 blue & 2 blue = 1 green,

4 red, 6 blue, 3 green

Answer:

The solution to the quadratic equation is:

[tex]x=4[/tex]

Thus, there will be one real zero.

Step-by-step explanation:

Given the equation

[tex]x^2+19=8x+3[/tex]

Subtract 19 from both sides

[tex]x^2+19-19=8x+3-19[/tex]

Simplify

[tex]x^2=8x-16[/tex]

Subtract 8x from both sides

[tex]x^2-8x=8x-16-8x[/tex]

Simplify

[tex]x^2-8x=-16[/tex]

Add (-4)² to both sides

[tex]x^2-8x+\left(-4\right)^2=-16+\left(-4\right)^2[/tex]

[tex]x^2-8x+\left(-4\right)^2=0[/tex]

Apply perfect square rule:  (a-b)² = a² - 2ab + b²

[tex]\left(x-4\right)^2=0[/tex]             ∵  [tex]x^2-8x+\left(-4\right)^2=\left(x-4\right)^2[/tex]

so solve

[tex]x-4=0[/tex]

Add 4 to both sides

[tex]x-4+4=0+4[/tex]

Simplifying

[tex]x=4[/tex]

Therefore, the solution to the quadratic equation is:

[tex]x=4[/tex]

Thus, there will be one real zero.

Answer:

0.776 is a decimal number equivalent to 77.6%.

The equivalent decimal for the given percentage is 0.776.

The given percentage is 77.6%.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

To convert to decimal number divide the given percentage number, we get

77.6% = 77.6/100

= 0.776

Therefore, the equivalent decimal for the given percentage is 0.776.

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Answer:

plis spanich no Inglés sorry :/

Answer:

2.3

Step-by-step explanation:

15x + 41 > 6

6-41=35

15x > 35

35/15 = 2.3

Answer:

-166.56

Step-by-step explanation:

Answer:

-166.56

Step-by-step explanation:

This operation is called distributing. Distribution is where you multiply a number on the outside of the parenthesis by every term on the inside. Ex: x(y) = x × y

6.94(-24) - Given Expression

6.94 × -24 - Equivalent to the given expression

-166.56 - Multiply

Answer:

12.5% chance. it's a 50% chance each time, which is half, so you divide it in half 3 times, 12.5%.

Step-by-step explanation:

Answer:  I hope I'm right

Step-by-step explanation:

12.5%

Answer:

The slope is 7 and the relationship is increasing

Step-by-step explanation:

y=mx+b is slope intercept form.

m=slope

7 is in place of m is y=7x+30

7 is positive so the relationship is increasing.

Answer:

A and B are correct

Step-by-step explanation:

This is due to letter C and D being pyramids

New amount = starting value x (1- percent)

New amount = 250 x (1-0.34)

New amount = 250 x 0.66

New amount = 165

Answer:

85

Step-by-step explanation:

34/100

[tex]34 \div 100 \times 250 = 85[/tex]

Answer:

32

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

t = 32

Step-by-step explanation:

if t, it's

t -15 = 17

plus 15 both sides ;

t-15+15=17+15

t=32

plus both sides for rid -15

hope it helps ☺️

Answer:

Midpoint: [tex]\displaystyle (\frac{-1}{2},-1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Endpoint (-6, -6)

Endpoint (5, 4)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Full question:

A recipe calls for 2 cups of milk for every 6 1/4 cups of flour. If you increase the flour to 43 3/4 cups, how many cups of milk will you use?

Answer:

14 cups of milk

Step-by-step explanation:

The question can be rephrased how many 6 1/4 cups of flour can we get in 43 3/4 cups of flour so that we find how many cups of milk required

6 1/4 = 25/4.

Also, 43 3/4 = 175/4

We could now divide 175/4 by 25/4 to get how many 6 1/4 cups of flour are in 43 3/4 cups of flour = 175/4 / 25/4 = 175/4×4/25= 7

This means that we have seven 6 1/4 cups of flour, therefore we require 7×2 = 14 cups of milk (given that we require 2 cups of milk for every 6 1/4 cups of flour)

Answer:

x = 3

Step-by-step explanation:

[tex]\frac{80}{120} = \frac{2}{x}[/tex]

Simplify, divide the numerator and denominator by the same number

[tex]\frac{80}{120}\\[/tex]

÷ 40

[tex]\frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{2}{x}[/tex]

Cross products

[tex]2x = 2 *3\\2x = 6\\/2 /2\\\\x = 3[/tex]

Answer:

15.73

Step-by-step explanation:

Straight angle is 180 degrees. So the given angles add up to 180.

(6x - 3) + (5x + 10) = 180

11x + 7 = 180

     -7        -7

11x = 173

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Answer:

Answer is: 0.0052441

Answer:

0.0052441

hope it helps.

Answer:

50.2 liters

Step-by-step explanation:

11 liters = 50km

Z liters = 228km

To get the value of Z, cross multiply

228 x 11 = Z x 50

2508 = 50z

Divide both sides by 50

2508/50 = 50z/50

50.16 = z

50.16 has two decimal places, so convert to 1 decimal place by approximation

50.16 = 50.2

Thus, 50.2 liters will be enough for 228km