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storchak [24]
3 years ago
14

A circle is centered on point B. Points A, C and D lie on its circumference.

Mathematics
2 answers:
saul85 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

70

Firlakuza [10]3 years ago
6 0

Answer:

<h2>The angle ABC is 70°.</h2>

Step-by-step explanation:

You can observe a representation of the problem in the image attached.

According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means

\angle ADC = \frac{1}{2}(AC)\\ 35\°=\frac{1}{2} (AC)\\AC=70\°

Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.

\angle ABC \cong arc(AC)

Therefore, the angle ABC is 70°.

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If 2 gallons of oil are used a day, than he will need 60 gallons of oil, because 30x2=60. For 60 gallons of oil, you would have to have 12 drums because 60÷5=12. Because there is already 8 drums of oil, there would already be 40 gallons because 8x5=40. If the owner already had 40 gallons of oil, they would only have to get 20 more gallons because 60-40=20. That would be 4 drums because 20÷5=4. The owner would have to order 4 more drums of oil.
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Given that m is parallel to n, what must be true of the two lines? Check all that apply.
miss Akunina [59]
What are the options?
8 0
2 years ago
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Help needed please! *will mark as brainliest if correct
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2 gophers per day are getting removed
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3 years ago
What value of x makes the equation true?<br> 3(4x-5)-4x+1=-6<br> Please show work
V125BC [204]

Answer:

x = 1

General Formulas and Concepts:

<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

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3(4x - 5) - 4x + 1 = -6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3:                    12x - 15 - 4x + 1 = -6
  2. Combine like terms:       8x - 14 = -6
  3. Isolate <em>x</em> term:                 8x = 8
  4. Isolate <em>x</em>:                          x = 1

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(4(1) - 5) - 4(1) + 1 = -6
  2. Multiply:                               3(4 - 5) - 4 + 1 = -6
  3. Subtract:                              3(-1) - 4 + 1 = -6
  4. Multiply:                               -3 - 4 + 1 = -6
  5. Subtract:                              -7 + 1 = -6
  6. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

3 0
2 years ago
Help please?!?!?!?!?!?!?!?!?!?!?!?!
zubka84 [21]

PEMDAS.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Lets apply that here.

72-[(3x2^3)+48]

So first we start with (3x2^3)

2^3=8

3*8=24

now we do 24+48 which equals 72

now we have 72-72 which equals zero.

So

72-[(3x2^3)+48] = 0

3 0
3 years ago
Read 2 more answers
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