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WARRIOR [948]
2 years ago
5

ADC is a straight line.

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0

Applying the triangle sum theorem, the size of ∠BDC = 95°.

<h3>What is the Triangle Sum Theorem?</h3>

All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.

The diagram attached below shows the following:

  • m∠BAD = 55°
  • m∠BCD = 25°
  • m∠ABD = 2x°
  • m∠CBD = 3x°

Thus:

55 + 2x + 3x + 25 = 180 (triangle sum theorem).

  • Add like terms

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 20

Therefore,

m∠BDC = 180 - (3x + 25) (triangle sum theorem)

  • Plug in the value of x

m∠BDC = 180 - (3(20) + 25)

m∠BDC = 95°

Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.

Learn more about triangle sum theorem on:

brainly.com/question/7696843

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Josie is training for a race.The ratio of the number of minutes she runs to the number of miles she runs is 24 to 3 she plans to
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Answer:

80 minutes

Step-by-step explanation:

She runs an 8 minute mile (which you can do by dividing 24/3), then how long will it take her to run 10 miles?

All you have to do from there is multiply 8x10, which gives you 80.

It'll take 80 minutes of 1:20 hours

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Step-by-step explanation:

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3 years ago
6, 11, 16, 21, ________, ________, _______, Write the next 3 terms below
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Answer:

26, 31, 36

Step-by-step explanation:

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3 years ago
A unicorn’s favorite food is marshmallows. They can find other food resources, but marshmallows are their absolute favorite. Usi
Tpy6a [65]

Answer:

69813.33 marshmallow

the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive

Step-by-step explanation:

Given:

Unicorn weights = 440 kg

Marshmallow weighs = 0.5 grams

Unicorn needs = 34 calories/kg of body weight/day

Marshmallow offers = 3 calories/gram

Calories required by Unicorn in a week

= Calories needed × Weight of unicorn × Total days in a week

= 34 × 440 × 7

= 104,720 calories

Now,

Marshmallows required = \frac{\textup{Calories required}}{\textup{Energy offered by marshmallow}}

= \frac{\textup{104,720}}{\textup{3}}

= 34906.67 grams

Therefore,

the number of marshmallows required = \frac{\textup{Mass of marshmallow required}}{\textup{Mass of marshmallow}}

= \frac{\textup{34906.67}}{\textup{0.5}}

= 69813.33 marshmallow

b) Total calories provided by the marshmallow

= 5,000,000 × 0.5 × 3

= 7,500,000 calories

and,

calories required by 2 unicorns in an year

= weight of 2 unicorn × calories needed × number of days in an year

= 2 × 440 × 34 × 365

= 10,920,800

Since,

the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive

5 0
3 years ago
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