MATHEMATICS HIGH SCHOOL

In ∆ABC the angle bisectors drawn from vertices A and B intersect at point D. Find m∠ADB if: m∠C=γ

Answers

Answer 1
Answer:

Answer:

  ∠ADB = γ/2 +90°

Step-by-step explanation:

Here's one way to show the measure of ∠ADB.

  ∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD

  ∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY

Substituting for (α + β) in the second equation, we get ...

  ∠ADB + 3(180° - ∠ADB) + γ = 360°

  180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°

  ∠ADB = γ/2 + 90° . . . . . . . divide by 2

_____

To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.

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Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.

Answers

The rectangle is 8 metres by 5 metres.

You find the two numbers which can multiply to make 40 and see which of those also would result in a perimeter of 26. To make 40 you can have 4 and 10, 2 and 20, 1 and 40, or 8 and 5. 8 and 5 are the only lengths which give a perimeter of 26.

Express 130 billion in scientific notation

Answers

Answer:

The scientific notation of 130 billion is 1.3*10^(11)

Step-by-step explanation:

Given:  130 billion

As per question,

we have to express130 billion in scientific notation.

As we know that,

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power.

Example: 1385.62written as1.386*10^3.

1\rm\;{billion}=1,000,000,000\n130\rm\;{billion}=130,000,000,000

Now, In scentific notation of 130,000,000,000=13*10^(10)

                                                                          =1.3*10^(11)

Hence, 130 billion in scientific notation is  1.3*10^(11).

For more information:

brainly.com/question/2005529?referrer=searchResults
130,000,000,000 = 1.3 x 10^11

16.437 rounded to the nearest hundredth

Answers

The answer is so simple first you see if 37 is higher or lower than 50 if it is you add 1 to the hundred place if it is lower the number stays the same and add two zeros
Answer:400

What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

17.5 bc that’s an integer and 17,500 is not and you don’t need the extra zeros at the end anyways

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

x ≈ 11.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos42° = (adjacent)/(hypotenuse) = (x)/(15) ( multiply both sides by 15 )

15 × cos42° = x , then

x ≈ 11.1 ( to the nearest tenth )

Sam borrows $1,000 from a bank that is charging eight percent simple interest per year. If he pays the loan back in six months, how much interest will he pay?

Answers

8\%:2=4\%=0.04\n\n0.04\ *\ \$1,000=\$40\leftarrow answer
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