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Svetach [21]
3 years ago
13

Help Me With This Question Please!

Mathematics
2 answers:
sp2606 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

Lines A , B, C and D meet at a point, O. Different angles are formed at this poin, O.

The sum of the angles at point O is 360 degrees. It means that

x + (2x + 80) + (5x + 40) + 4x = 360 degrees

x + 2x + 80 + 5x + 40 + 4x = 360 .

x + 2x + 4x + 5x + 80 + 40 = 360

12x + 120 = 360

12x = 360 - 120 = 240

x = 240/12 = 20

Therefore

Obtuse angle AOB = 2x + 80 =

2 × 20 + 80 = 120 degrees

Obtuse angle BOC = 5x + 40 = 5 × 20 + 40 = 140 degrees

Obtuse angle BOD = x + 2x + 80 = 20 + 2 × 20 + 80 = 140 degrees

Andrej [43]3 years ago
3 0

Answer:

∠AOB = 120°

∠BOC = 140°

∠BOD = 140°

Step-by-step explanation:

First, find X !

Full circle is 360°

360 = (2x + 80) + (5x + 40) + 4x + x

360 = 12x + 120

240 = 12x

x = 20°

Substitute the X

∠AOB ≡ (2x + 80) =

(2(20) + 80) = 120°

∠BOC ≡ (5x + 40) =

(5(20) + 40) = 140°

∠BOD = ∠AOB + ∠DOA ≡

120 + x = 120 + 20 = 140°

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George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil
wlad13 [49]
Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
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4 0
3 years ago
Silas just bought a used car for $5000. It loses value at a rate of 30% per year. The value of the car in n years is modeled by
Fantom [35]

Answer:

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8 0
3 years ago
Javier is considering two lawn care services. Premier Landscaping charges $15.00 for travel to the job site and $55.00 per hour
Wittaler [7]

Answer:

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Step-by-step explanation:

Given:

                                                        Fixed    Variable

Premier Landscaping charges          $15        $55

Ace Landscaping charges                               $65

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Assume in X time both companies charge same cost:

So,

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⇒ $15 = $65 (Time taken) - $55(Time taken)

⇒ $15 = $10 (Time taken)

⇒ Time taken = 1.5 hour

Time in which both companies charge same cost = 1.5 hour

6 0
3 years ago
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