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Alona [7]
3 years ago
6

4x + 6° 6x - 100 7x + 14°

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

9514 1404 393

Answer:

  x = 10°; angles are 50°, 46°, 84° (CW from left)

Step-by-step explanation:

The sum of the three angles is 180°, so ...

  (6x +10°) +(4x +6°) +(7x +14°) = 180°

  17x +10° = 180°

  17x = 170°

  x = 10°

__

Then the angles are ...

  6x -10° = 6·10° -10° = 50°

  4x +6° - 4·10° +6° = 46°

  7x +14° = 7·10° +14° = 84°

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Can the expression √7+2√10 be simplified using the distributive property?
Setler [38]

Answer:

Yes,  \sqrt{2}(\sqrt{3.5}  + 2\sqrt{5} )

Step-by-step explanation:

By roots property, the roots can be re-write as multiplications or division, like this:

\sqrt[n]{a} . \sqrt[n]{b} =\sqrt[n]{ab}

Here, we can re-write both roots:

\sqrt{7} = \sqrt{3.5*2} and \sqrt{10}=\sqrt{2*5}

Now we have:

\sqrt{3.5} * \sqrt{2}  + 2 * \sqrt{2} *\sqrt{10}

And we can take out the common expression:

\sqrt{2}(\sqrt{3.5}  + 2\sqrt{5} ) ⇒ Answer

6 0
4 years ago
Erica Bell earns $27.50 per hour as a specialty chef at Santa Maria Restaurant. If she worked 51 hours last week and was paid ti
olga2289 [7]

Answer:

Gross Pay of Erica is $123.75

Step-by-step explanation:

We are given

Earning per hour = $27.5

Total working hours = 51

we can divide the following as

first 40 hours + 6.5hrs after first 40 hours + 4.5 hours of Sunday

                   

                      No of hours worked     pay per hour

                       first 40 hours               $27.5  

                        after 6.5 hours            27.5 + 13.75 = $41.25 ( 1.5times )

                       Sunday 4.5hr                 27.5 * 2 = $55 (double)

              total =  51hrs                           $123.75

so Erica gross pay of the week is $123.75

8 0
3 years ago
90 is what percent of 270
erik [133]

Answer:

33 \frac{1}{3}%

Step-by-step explanation:

Create a fraction where the of value is on the denominator, then multiply by 100% to change to a percentage, that is

\frac{90}{270} ×100%

= 33.3333... × 100% = 33.333... % = 33 \frac{1}{3}% ← exact value



4 0
4 years ago
Please help!!! Thanks!
Anon25 [30]
C would be the only reasonable answer
4 0
4 years ago
Abby has 56 peppermints. Hugo has p fewer peppermints than Abby. Write an expression
Masteriza [31]
If the amount of peppermints Hugo has is represented by H:
56 - p = H
Hope this helps :)
6 0
3 years ago
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