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aleksandrvk [35]
3 years ago
15

A train goes at a constant speed. If it covers 150 miles in 2/1 2 hours,

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

x =4.5 hours

Step-by-step explanation:

We can use ratios to solve

150 miles        270 miles

--------------- = --------------

2.5 hours      x miles

150 *x = 270*2.5

Divide each side by 150

150x/150 = 270*2.5/150

x =4.5 hours

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If m∠4 = 35, find m∠2. Explain.
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Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

             = m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

        = 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

        = 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0
3 years ago
What is the distance between the points (1,5) and (5,-4)?
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Answer:

\sqrt{97}

Step-by-step explanation:

Using the pythagorean theorem, you can find that the distance between the two points is \sqrt{(5-1)^2+(5-(-4))^2}=\sqrt{4^2+9^2}=\sqrt{97}. Hope this helps!

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Zanzabum

Answer:

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