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PilotLPTM [1.2K]
2 years ago
14

If the measure of arc EF=47 and the measure of angle ACD=55, determine the measure of angle ECF. I really need help with this, t

hank you!!

Mathematics
1 answer:
djyliett [7]2 years ago
5 0

Answer:

  55°

Step-by-step explanation:

∠ECF is a vertical angle with ∠ACD, so has the same measure, 55°.

_____

Whatever arc may exist between points E and F is not shown on your diagram, nor is the center (or radius) of it shown. The measure of arc EF is irrelevant to the question.

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Answer:60x+28

Step-by-step explanation:

5 0
3 years ago
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The cost of Ben's lunch to the cost of dinner was 34. If Ben's lunch cost $9 how much did his dinner cost?
chubhunter [2.5K]

Answer:

204

Step-by-step explanation:

34×9=409 gggggggggggggggfhhhhh

4 0
3 years ago
Solve for z: -4 - (z - 6) = 12
aksik [14]

Answer:

z = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

-4 - (z - 6) = 12

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

  1. Distribute negative:                              -4 - z + 6 = 12
  2. Combine like terms:                             -z + 2 = 12
  3. Subtract 2 on both sides:                    -z = 10
  4. Divide -1 on both sides:                        z = -10

<u>Step 3: Check</u>

<em>Plug in z to verify it's a solution.</em>

  1. Substitute:                    -4 - (-10 - 6) = 12
  2. Subtract:                       -4 - (-16) = 12
  3. Simplify:                        -4 + 16 = 12
  4. Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

7 0
2 years ago
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How much would $500 invested at 3% interest compounded continuously be
77julia77 [94]

Answer:

d

Step-by-step explanation:

598.60

You are given the equation 

A(t) = P*e^(rt) 

Where P = Principal 

r = interest rate 

t = time 

e is a mathematical constant equivalent to approx 2.71828 

You're told the initial Principal is $500, the interest rate is 3%, over 6 years. So you have everything that you need to solve the problem, just plug in the values and solve for A(6) 

A(t) = P*e^(rt) 

A(6) = 500 * e^(0.03 * 6) 

A(6) = 500 * e^(0.18) 

A(6) = 500 * 2.71828^(0.18) 

A(6) = 500 * 1.19721 

A(6) = 598.60861 

So $500 invested 6 years ago at 3% would be worth $598.61 today.

5 0
3 years ago
Please help with number 5. Just ignore the pink pen :)
german

Answer:

The answer is option c

4 0
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