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EleoNora [17]
3 years ago
7

I need help with this proof

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.

In these triangles,

  • ∠ABF ≅ ∠EDF - as two right angles;
  • BF ≅ FE - given;
  • ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.

By ASA postulate (or HA postulate) these triangles are congruent, so

ΔABF ≅ ΔEDF

Congruent triangles have congruent corresponding parts, so

FA ≅ EF

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What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.
Delicious77 [7]

Answer:

SA = 748π in²

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 11 in

<em>h</em> = 23 in

<u>Step 2: Find Surface Area</u>

  1. Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(11 in)(23 in) + 2π(11 in)²
  2. Evaluate exponents:                                                                                         SA = 2π(11 in)(23 in) + 2π(121 in²)
  3. Multiply:                                                                                                             SA = 506π in² + 242π in²
  4. Add:                                                                                                                   SA = 748π in²
7 0
2 years ago
I need help with problem 22
myrzilka [38]

Answer:

6 art course and 7 writing coures

4 0
2 years ago
Someone please help me on this question ?:)
katrin2010 [14]

Answer: The TV is 48 inches wide.

Step-by-step explanation: To find the solution to this equation we must use the Pythagorean theorem. The Py. Theo. is basically the formula :

a^2 + b^2 = c^2    You say this as "A squared plus b squared equals c squared"

To use this formula you must plug in the given values of a and b, to find c. A and b represent the two bases of the triangle, while c is the hypotenuse. In this equation we already have the value of c and a. We need to find b, but in order to do that we use a different formula. We use : c^2 - a^2 = b^2

See :

52^2 - 20^2 = b^2       *The ^2 means "to the power of" aka an exponent*

2704 - 400 = b^2     *When dealing with ^2, all you do is multiply the number by itself*

2304 = b^2      *Next, we find the square root of our current number.*

48 = b    

*Another way to solve this equation is to memorize all the Pythagorean Triples. With that knowledge, you wont even need to use the formula because you will already know all three values. I hope this helped you understand :)



3 0
3 years ago
Find the absolute value.<br>|-89= 0<br><br><br><br><br><br><br>please help thank you​
lukranit [14]

the answer is 89

Step-by-step explanation:

it does not matter if the number is negative the absolute value is the number inside the lines

6 0
3 years ago
Read 2 more answers
If two angles are both obtuse, the two angles are equal
yan [13]
If two angles are equal, then the two angles are obtuse.

5 0
3 years ago
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