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LenKa [72]
3 years ago
12

What is the missing angle measurement in the polygon shown below?

Mathematics
2 answers:
Zinaida [17]3 years ago
6 0

Answer:

155 degrees

Step-by-step explanation:

Every 4 angled shape will equal 360

45+130+30+x=360

205+x=360

155=360

Shkiper50 [21]3 years ago
3 0

Answer:

155

Step-by-step explanation:

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An angel whose measure is less than 90 is called an acute angel<br>​
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Yes, the statement is true

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You drive 75 miles and use 3 gallons of gas, at the same ratio, how may miles can you drive with 12 gallons of gas?
umka2103 [35]

When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.

We know that everytime you drive 75 miles, you use 3 gallons of gas.

Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:

You drive 75 miles, and use 3 gallons.

You drive 75 more miles (so you are at 75+75 = 150 miles) and use 3 more gallons, so you use 3+3 = 6 gallons.

You drive 75 more miles (so you are at 150+75 = 225 miles) and use 3 more gallons, so you use 6+3 = 9 gallons.

You drive 75 more miles (so you are at 225+75 = 300 miles) and use 3 more gallons, so you use 9+3 = 12 gallons, and you're done.

4 0
3 years ago
Which of the following is not a rational number?
IceJOKER [234]

Answer:

Option D is not a rational number

Step-by-step explanation:

A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.

For example, ¾ is a rational number while √3 is an irrational number.

Now to the question;

A) The product of 2 and 0.3333 gives;

2 × 0.3333 = 0.6666.

This can be expressed as a fraction as; 6666/10000.

Thus it is a rational number

B) The sum of 2 + √3 and 5 - √3 gives;

2 + √3 + 5 - √3 = 7

As a fraction, it can be written as; 7/1

Thus it is a rational number.

C) The sum of 37 and 12 is;

37 + 12 = 49

Can be expressed as; 49/1

Thus,it's a rational number.

D) Product of 2 and √2 gives;

2 × √2 = 2√2

It can't be expressed as a fraction with integers. Thus, it's not a rational number.

6 0
3 years ago
The point A (5,11) is reflected across the x-axis. How long is the segment AA'?<br>​
Nikitich [7]

Answer:  The required length of the segment AA' is 11 units.

Step-by-step explanation:  Given that the point A(5, 11) is reflected across the X-axis.

We are to find the length of the segment AA'.

We know that

if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).

So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).

Now, we have the following distance formula :

The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

PQ=\sqrt{(c-a)^2+(d-b)^2}.

Therefore, the length of the segment AA' is given by

AA'=\sqrt{(5-5)^2+(-11-11)^2}=\sqrt{11^2}=11.

Thus, the required length of the segment AA' is 11 units.

7 0
3 years ago
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