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nasty-shy [4]
3 years ago
15

How do you find out the measures of angles

Mathematics
1 answer:
diamong [38]3 years ago
7 0
Well we use what we know, that a triangle and a line is equivalent to 180° to find the interior angles of a triangle and possibly use the exterior (s) angles present.

An exterior angle is equivalent to the two most isolated (as in the ones all the way on the other side) interior angles combined.


So this means that m∠Y is equivalent to 138° - 79° which is 59°

Now that we know m∠Y we can find m∠XZY.

How?

Well as I had mentioned earlier a triangle has 180° we can add the two interior angles that we know and subtract it by 180°.

m∠Y and m∠X together is 59° and 79° respectively which is 138°. Now let's subtract it by 180° and get 42°

~~

m∠XZY = 42°

m∠Y = 59°

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
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Anthony jogs 11 1/2 miles in 23 mins. If Anthony continues to jog at a steady pace, how many miles will he jog each minute?
frozen [14]

For this case we can raise a rule of three based on Anthony trotting 11 \frac {1} {2} miles in 23 minutes.

11 \frac {1} {2} = \frac {2 * 11 + 1} {2} = \frac {23} {2}

\frac {23} {2} miles -----------> 23 minutes

x ----------------------------------------> 1minute

x = \frac {\frac {23} {2} * 1} {23}\\x = \frac {\frac {23} {2}} {23}\\x = \frac {23} {2 * 23}\\x = \frac {1} {2}

ANswer:

0.5 miles per minute

5 0
3 years ago
212.809 to round to the nearest whole number
Elodia [21]

Answer:

213

I hope this helps!

8 0
3 years ago
Question 5
navik [9.2K]

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

7 0
3 years ago
The perimeter of a stop sign has a perimeter of 16x2 - 80x. What is the length of one side?
uranmaximum [27]
Since a stop sign is an octagon it has eight sides.  So the perimeter will be:

p=8x,  p=perimeter and x=side length.  We are told that the perimeter is equal to:

16x^2-80x so we can say:

16x^2-80x=8x subtract 8x from both sides

16x^2-88x=0  factor out 8x

8x(2x-11), since we know x>0

x=11/2

x=5.5 units
7 0
3 years ago
Need help i dont understand this.
inn [45]
The range is a statistical property that consists of the difference between the biggest and the smallest given number.

In our case, the biggest is 17.3 million and the smallest is 3.3 million:

17.3 - 3.3 = 14.0


The range is 14.0 million acres (option D, 4th option).


Hope it helped,

Happy homework/ study/ exam!
6 0
4 years ago
Read 2 more answers
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