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qwelly [4]
3 years ago
13

PLEASEEE HELPPP 30 POINTSSS!!!

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Answer:

174; 132; 203; 118; 73; 20°.

Step-by-step explanation:

1) the sum of the internal angles of the given figure is:

S=180*(n-2), where 'n' is number of the angles.

2) according to the rule above the sum of all the internal angles is 720°;

3) according to the item 2, m∠A+m∠B+m∠C+m∠D+m∠E+m∠F=720°. If all the angles are known, then it is possible to re-write this equation as:

6x+(3x+45)+7x+(4x+2)+(2x+15)+(x-9)=720;

23x=667; ⇔ x=29.

4) if x=29, then m∠A=174; m∠B=132; m∠C=203; m∠D=118; m∠E=73; m∠F=20°.

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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
Bas_tet [7]
Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.

Feel free to ask further questions!
5 0
3 years ago
Rita earns $10 per hour. She puts 5% of her earnings in savings. Write inequality to find how many hours Rita must work to save
Rina8888 [55]

Answer:

Rita must work 50 days  to save at least $25.

Step-by-step explanation:

The amount Rita earns per hour  = $10

The saving percentage =  5%

So, the savings of Rita per hour =  5% of $10

⇒5% of $10  = \frac{5}{100}  \times 10  = 0.5

or Rita saves $0.5 per hour.

The amount she wants to save at minimum  = $25

So, let she works at the minimum of k Days.

⇒\textrm{The number of hours she has to work}  = \frac{\textrm{Amount she needs saving}}{\textrm{Amount saved in 1 hour}}

or, k = \frac{25}{0.5}  = 50

The number of hours she has to work  =  50 days

Hence,  Rita must work 50 days  to save at least $25.

3 0
3 years ago
To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry c
prisoha [69]

Answer:

t = 5

Step-by-step explanation:

  1. 19 + 4t = 39
  2. 4t = 20 Subtract 19 from 39
  3. \frac{4t}{4} = \frac{20}{4} Divide by 4
  4. t = 5
6 0
3 years ago
Need help with this if you can explain please do if not then just and answer is okay
pshichka [43]

Step-by-step explanation:

f(x) = x / (x - 7) = 1 + 7 / (x - 7).

The domain of f(x) depends whether the denominator of the rational expression is non-zero.

When (x - 7) = 0, x = 7.

Hence domain of f(x)

= All real values of x excluding 7. (C)

5 0
3 years ago
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3 years ago
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