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andreyandreev [35.5K]
3 years ago
11

What is the value of x​

Mathematics
1 answer:
Len [333]3 years ago
3 0

Answer:

X=70

Step-by-step explanation:

Interior angles of parallel line sum up to be 180° so:

45+(2x-5)=180

45+2x=185

2x=140

x=70

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How many kilometers are in 765 yards? 1 yard = 3 feet 1 mile = 5,280 feet 1 kilometer = 0.621 miles
luda_lava [24]

Answer:

There are 0.70km in 765 yards.

Step-by-step explanation:

This is a problem of conversion of units, that can be solved by multiple rule of three's.

The first step is converting 765 yards to feet. We have that each yard has 3 feet, so

1 yard- 3 feet

765 yards - x feet

x = 765*3

x = 2295

So, in 765 yards there are 2295 feet.

Now, we have to convert 2295 feet to miles. Each mile has 5280 feet, so:

1 miles - 5280 feet

x miles - 2295 feet

5280x = 2295

x = 0.435 miles

So, in 765 yards there are 2295 feet which is 0.435 miles

Now, the final step is converting from miles to kilometers. Each km has 0.621 miles, so:

1km - 0.621 miles

xkm - 0.435 miles

0.621x = 0.435

x = 0.70km

So, there are 0.70km in 765 yards.

7 0
3 years ago
Is it possible for a 5 digit number to be rounded to a 6 digit number
IrinaK [193]
When we round a number the new rounded <span>number is </span>simpler but the value is kept close to what it was. The common method for rounding numbers is the following: we d<span><span>ecide which is the last digit to keep and l</span><span>eave this digit the same the same if the next digit is less than 5 or increase it by 1 if the next digit is bigger than 5.
</span></span>Because the next digit matter, it is not possible for a 5 digit number to be rounded to 6 digit number. 
5 0
3 years ago
Read 2 more answers
Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.
ivann1987 [24]

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, h  = 15 m

Radius of cylinder, r = z m (Labelled as z)

Volume of cylinder, V = 1696.5\ m^{3}

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

V = \pi r^{2} h

Where r is the radius of cylinder

h is the height of cylinder

Putting the values of V, r \text{ and } h:

1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m

Hence, The missing dimension, radius = 6.00 m

6 0
3 years ago
Use the area to find the radius. If you could include steps that’ll be very helpful :)
Marizza181 [45]

Answer:

Radius = 13 m

Step-by-step explanation:

Formula for area of circle is given as:

A = \pi {r}^{2}  \\  \\  \therefore \: 169\pi \: = \pi {r}^{2}  \\  \\  \therefore \:  {r}^{2}  =  \frac{169\pi }{\pi}  \\  \\ \therefore \:  {r}^{2}  = 169 \\  \\ \therefore \:  {r} =  \pm \sqrt{169}  \\  \\\therefore \: r =  \pm \: 13 \: m \\ \\  \because \: radius \: of \: a \: circle \: can \: not \: be \: a \: negative \: \\quantity \\    \\  \huge \red{ \boxed{\therefore \: r =  13 \: m }}

5 0
3 years ago
For every 5 hours he works Andrew gets paid $60.20. How much is Andrew paid per hour
Varvara68 [4.7K]
Andrew gets paid $12.05 cents per hour
6 0
3 years ago
Read 2 more answers
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