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Georgia [21]
3 years ago
6

Use the Exterior Angle Theorem to find the measure of each angle.

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

∠ C = 36°

∠ D= 81°

∠ DEC= 63°

Step-by-step explanation:

<em>The exterior angle of a triangle is equal to the sum of the interior opposite angles. </em>

<em />

∴   (11y + 4) + (5y + 1) = 117

         11y + 4 + 5y + 1 = 117

         16y + 5 = 117

         16y = 117-5

         16y = 112

         y = 112÷16

         y = 7

∠ C = 5×(7) + 1 = 36°

∠ D = 11×(7) + 4 = 81°

∠ DEC = 180- 117 = 63°

<u><em>PLEASE MARK THIS ANSWER AS THE BRAINLIEST</em></u>

<u><em></em></u>

<em />

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Answer:

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Step-by-step explanation:

rewrite the system as

-2 =  2x - 3y  + 0z

0 =  0x +  y - 2z

1 =  -3x + 2y   - z

then the coefficient matrix is

{  [2,  -3,   0]

  [0,   1,    -2]

  [-3,  2,   -1]  }

to find determinant

{  [2,  -3,   0]    ,   2,    -3

  [0,   1,    -2]   ,    0,     1

  [-3,  2,   -1]  },     -3,     2

determinant  =   2*1*-1  +  (-3 * -2 * -3)  +   (0*0*2)  -  0  -  (2*-2*2)  - 0

determinant = -2  - 18  + 0  - 0 + 8 =   -12

3 0
3 years ago
Tommy earns $8.00 an hour. How much will he earn for working 5.5 hours?
Artyom0805 [142]

Answer:

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Step-by-step explanation:

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Answer:

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Explanation:

The compound interest formula is the following.

A=P(1+\frac{r}{n})^{nt}

where

A = final amount

P = principle amount

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n = number of compounds per interval

t = time interval

Now in our case,

A = unknown

P = $1900

r = 10.4/100

n = 12 months / year ( because the interest is compounded monthly)

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Therefore, the compound interest formula gives

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Using a calculator, we evaluate the above to get

\boxed{A=\$3027.80}

which is our answer!

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