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3 years ago

PLEASE PLEASE HELP I NEED TO ACE THIS angle c = ___ degrees

Mathematics

1 answer:

Xelga [282]3 years ago

7 0

Angle D = ABC arc / 2

x + 100 = ABC arc / 2

ABC arc = 2 × ( x + 100 )

ABC arc = 2x + 200 ( ♡ )

_________________________________

Angle B = ADC arc / 2

3x = ADC arc / 2

ADC arc = 2 × 3x

ADC arc = 6x ( ☆ )

_________________________________

ABC arc + ADC arc = 360

( ♡ ) , ( ☆ ) :

( 2x + 200 ) + ( 6x ) = 360

8x + 200 = 360

8x = 360 - 200

8x = 160

x = 160/8

x = 20

____________________________

Thus :

Angle A = 5(20) - 3 = 97 degrees

Angle B = 3(20) = 60 degrees

Angle D = 20 + 100 = 120 degrees

____________________________

Sum of the interior angles of any four-sides figures are equal 360 degrees ,

Thus :

Angle A+Angle B+Angle C+Angle D = 360

97 + 60 + Angle C + 120 = 360

Angle C + 120 + 157 = 360

Angle C + 277 = 360

Angle C = 360 - 270 - 7

Angle C = 90 - 7

Angle C = 83 degrees

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Read 2 more answers

Amber can peel 10 1/2 potatoes in 1/3 of an hour. What is her unite rate

Alexxx [7]

Given that:

- Amber can peel this amount of potatoes:

$10\frac{1}{2}\text{ }potatoes$

- And she can peel them in this time:

$\frac{1}{3}\text{ }hour$

You can determine that the Unit Rate is the number of potatoes she can peel per hour.

Since the number of potatoes is given as a Mixed Number, you can convert it to an Improper Fraction as follows:

1. Multiply the Whole Number part by the denominator.

2. Add the Product to the numerator.

3. The denominator does not change.

Then:

$10\frac{1}{2}=\frac{(10\cdot2)+1}{2}=\frac{20+1}{2}=\frac{21}{2}$

Now you can set up that:

$Unit\text{ }Rate=\frac{\frac{21}{2}\text{ }potatoes}{\frac{1}{3}\text{ }hour}$

Solving the Division, you get:

$\begin{gathered} Unit\text{ }Rate=\frac{21\cdot3}{2\cdot1}\frac{potatoes}{hour} \\ \\ Unit\text{ }Rate=\frac{63}{2}\frac{potatoes}{hour} \end{gathered}$

Hence, the answer is: