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Andrew [12]
2 years ago
9

Pls help me this is so frustrating

Mathematics
1 answer:
Annette [7]2 years ago
4 0

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

  • <u>A straight line has total 180° interior angle.</u>

solve:

  • m∠EGD + m∠DGC + m∠EGA = 180°
  • x + 90° + 30° = 180°
  • x + 120° = 180°
  • x = 180° - 120°
  • x = 60°
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The length of a rectangular board is 10 cm longer than its width. The width of the board is 26 cm. The board is cut into 9 equal
kvasek [131]
Each piece will be 26cm by 4cm.

Width is 26 cm.
Length is 36 cm. The problem states that the length is 10 cm longer than the width. Since width is 26 I just added 10 to arrive at 36 cm.

36 / 9 = 4 cm.

The width will still be 26 but the length is now 4 cm. 

Area = length * width
Area = 4 * 26
Area = 104 cm


5 0
3 years ago
Carpet for one office costs $210. If the carpet sells for $8.75 per
Ilia_Sergeevich [38]

Answer:

a.

Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

We have an expression for the total cost of Country Carpets:

($22/ 1 yd^2)* (x yd^2) + $100

= $22*x+ $100

or 22x+ 100

We also have another expression for the total cost of City Carpets:

($25/ 1 yd^2)* (x yd^2)+ $70

= $25*x+ $70

or 25x+ 70

Now set the two expressions to be equal:

22x+ 100= 25x+ 70

⇒ 100- 70= 25x -22x

⇒ 30= 3x

⇒ 30/3= x

⇒ 10= x

The final answer for a is 10 square yards of carpeting~

b.

Let's assume that Mr. Shu wants to install carpeting for 1 square yard.

Country Carpets: $22*1+ $100= $122

City Carpets: $25*1+ $70= $95

Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.

Now let's try x=11 (square yard):

Country Carpets= $22*11+ $100= $342

City Carpets= $25*11+ $70= $345

Therefore, Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.

If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.

So it depends:

If x were >0 and <10, Mr. Shu would be likely to choose City Carpets.

If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.

If x were > 10, Mr. Shu would be likely to choose Country Carpets.

Hope this helps~

Step-by-step explanation:

7 0
2 years ago
Instructions:Select the correct answer.
photoshop1234 [79]
The proper answer for that is <span>278.842</span>
8 0
3 years ago
Help please ! B C or D
Gwar [14]
The answer to this is D


7 0
2 years ago
working as a waiter, Michael earns $6.50 per hour plus tips. last night he received $36.50 in tips and earned a total of $65.75.
pashok25 [27]
Michael worked 4.5 hours. 65.75 - 36.50 = 29.25, therefore, Michael made $29.25 not including tips. 29.25/6.50 = 4.5
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