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Zigmanuir [339]
3 years ago
15

Examine A ABC below.

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Answer:

  • DE║AC

Step-by-step explanation:

<u>Given relationships:</u>

DE = 2 AC

  • Incorrect. Should be DE = 1/2 AC

DE║AC

  • Correct

m∠BCA = 2(m∠BED)

  • Incorrect. Should be m∠BCA = m∠BED

DE = AC

  • Incorrect. Should be DE = 1/2 AC
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i think the second answer

Step-by-step explanation:

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3 years ago
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Old faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height o
Serhud [2]

Answer:

The height of near by tree will be 90 feet.

Step-by-step explanation:

Considering the water triangle as shown in figure a.

As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.

Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.

Let x be the height of near by tree that cost a shadow 63 feet long.

Assuming that the triangles are similar

So,

the ratios of similar triangles will be related as:

\frac{63}{42}=\frac{x}{60}

\mathrm{Switch\:sides}

\frac{x}{60}=\frac{63}{42}

{x}=60.\frac{63}{42}

x=90 feet

Therefore, the height of near by tree will be 90 feet.

Keywords: ratio, similar triangle

Learn more about similar triangle from brainly.com/question/10161974

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3 years ago
In circle O, ST is a diameter.
Andreas93 [3]

The value of x must be 25.0. The correct option is the second option-  25.0

<h3>Solving Linear equations </h3>

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

Learn more Solving linear equations here: brainly.com/question/1413277

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8 0
2 years ago
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Hi its getting pretty late and i need a little help<br> (ill give u brainliest)
Anarel [89]

Answer:

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no

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have a good day!

Step-by-step explanation:

ive just done this today, it was really easy!

7 0
2 years ago
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Solve the equation for x.
Degger [83]

Answer:

x=-\frac{11}{8}

Step-by-step explanation:

Hi there!

(x - 4) - (x + 7) = 8x

Open up the parentheses

x - 4 - x - 7 = 8x

Combine like terms

x -x - 4 - 7 = 8x\\-4-7=8x\\-11=8x

Divide both sides by 8 to isolate x

-\frac{11}{8}=x

I hope this helps!

4 0
3 years ago
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