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sveta [45]
3 years ago
5

A little help with this math problem

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

The length of the last side is 9 metres

Step-by-step explanation:

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The speed of a river current is 7 mph. If a boat travels 20 miles downstream in the same time that it takes to travel 10 miles u
dem82 [27]

Answer:

  21 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

The speed downstream is b+7 if the boat's speed is b. The speed upstream is b-7, and the times in each direction are equal. This means ...

  20/(b+7) = 10/(b-7) . . . . . . time in each direction are the same

  20(b-7) = 10(b+7) . . . . . . . cross multiply

  (20-10)b = 7(10+20) . . . . . add 7(20)-10b

  b = 7(20 +10)/(20 -10) = 21 . . . . mph

The speed of the boat in still water is 21 mph.

3 0
3 years ago
The measure of one interior angle of a parallelogram is 30 degrees more than 2 times the measure of another angle. Find the meas
kumpel [21]

Answer:

<h2>         30° and 150°    </h2>

Step-by-step explanation:

α   - one angle

2α   - two times measure of angle α

2α + 30°    - second angle

Paralleogram has two pairs of angles of the same measure.

Sum of interior angles of any quadrangle is 360°

Therefore:

2×α + 2×(2α + 30°) = 360°        {divide both sides by 2}

α + 2α + 30° = 180°                 {subtract 30° from both sides}

  3α = 150°                        {divide both sides by 3)

      α = 50°

2α+30° = 2×50° + 30° = 130°

8 0
3 years ago
Find sin(α) in the triangle.
Anna71 [15]

Answer:

sin a = 0.689

Step-by-step explanation:

explanation is in the image above

6 0
2 years ago
If p: All birds fly. What is ~ p?
Vika [28.1K]
C. not all birds fly.
When using _:_, you are contrasting two things so, you are putting a argument to go against the other side.
Not all birds can fly is going against All birds can fly.

Hope this helps. :)
3 0
4 years ago
How to write a paragraph proof? Given: ∠T and ∠V are right angles TW║VU.<br> Prove: ΔTUW≅ΔVWU
mafiozo [28]

Note: The missing diagram is attached below for a reference.

Answer:

  • Δ TUW ≅ ΔVWU by AAS case.

Step-by-step explanation:

Given:

  • ∠T and ∠V are right angles.
  • TW║ VU

To Prove:

  • Δ TUW ≅ ΔVWU

As

∠ T ≅ ∠ V ≅ 90^{0} (Given)

Side  UW ≅

TW║ UV

and UW is a transverse

So,

∠ TWU ≅ ∠ WUV \left[alternate\:\:interior\:\:angles\right]

As\:Angle\:=\:Angle\:=\:side\:are\:equal

Thus,

  • Δ TUW ≅ ΔVWU

Keywords: proof, paragraph, logic, reason

Learn more about proof and reason from brainly.com/question/13396866

#learnwithBrainly

4 0
3 years ago
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