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babymother [125]
3 years ago
7

Using polygon STUVW what is m angle U ?

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\

To find :

\angle U = x = ?

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180

Here we have n = 5 on substituting the values we get

\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72

Therefore,

m∠ U is 72°.

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Convert 330 litres per hour into millilitres per minute (ml/min).
VMariaS [17]
1 litre = 1000 milliliters
1he= 60 min
330 x 1000/60
5500 milliliters/ second
6 0
2 years ago
A train left a station at 8:13 a.m. arriving at its destination at 4:52 p.m. If the stations are 527.65 miles apart, calculate t
Tomtit [17]

9514 1404 393

Answer:

  D.  61 mi/h

Step-by-step explanation:

The travel time is 16:52 -8:13 = 8:39 hours, or 8.65 hours. Then the speed is ...

 speed = distance/time = 527.65 mi/(8.65 h) = 61 mi/h

_____

<em>Additional comment</em>

It is often convenient to use "military" or "24-hour" time for calculations of time periods that extend over noon or midnight. For this purpose, 12 gets added to the hour number in the afternoon (pm). Of course, 39 minutes is 39/60 hours. That is found to be 0.65 hours by performing the division of 39 by 60.

6 0
2 years ago
Darryl left the White House and traveled toward the ferry office at an average speed of 25 mph. Some time later Jacob left trave
DanielleElmas [232]

Answer:

2 hours

Step-by-step explanation:

Given the following :

Darryl :

Speed = 25mph

Jacob:

Traveled in opposite direction

Speed = 35mph

After Darryl had traveled for 4 hours, Distance between them was 170 miles

Distance traveled by Darryl :

Speed * time = (25 * 4) = 100 miles

Total distance = distance traveled by Darryl + distance traveled by Jacob

170 miles = 100 miles + distance traveled by jacob

Distance traveled by Jacob = 170 - 100

Distance traveled by Jacob = 70 miles

Time = distance / speed

Time traveled by Jacob = 70 miles / 35mph

Time traveled by Jacob = 2 hours

3 0
3 years ago
last year the cost of a season ticket for a rugby club £370. This year the cost of a season ticket for the club has been increas
Elden [556K]

Answer:

\frac{80}{370} OR \frac{8}{37}

Step-by-step explanation:

So first you find the difference between the new cost and the old cost:

450 - 370  = 80

So the increase was 80.

When you write it as a fraction you write the increase ( 80 ) over the starting cost ( 370 ).

Thus the answer becomes \frac{80}{370}

But you can always reduce it to its lowest terms thus:

\frac{8}{37}

HOPE THIS HELPED

4 0
3 years ago
If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)
cricket20 [7]

Answer:

Area of the circle = 113.04\;units^2

Step-by-step explanation:

Circumference = 37.68\;units

Circumference of the circle = 2\times \pi  \times r

As,

    \pi =\dfrac{22}{7}=3.14

                        37.68=2\times \pi  \times r\\\\37.68=2\times 3.14 \times r\\\\37.68=6.28\times r\\\\r=\dfrac{37.68}{6.28} \\\\r=6\;units

Area of a circle = \pi \times r^2

                       =3.14\times (6\times 6)\\\\=3.14\times 36\\\\=113.04\;units^2

3 0
3 years ago
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