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sergey [27]
3 years ago
9

Helpppppp !!!!!!!!!!!!

Mathematics
2 answers:
dybincka [34]3 years ago
6 0
540 degrees I just did it
OlgaM077 [116]3 years ago
3 0
It should be 540 degrees
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In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$ [asy] unitsize(2 cm); pair D, E,
lesya692 [45]

Answer:

The answer is below

Step-by-step explanation:

In triangle DEF, ∠D = 30°, ∠F = 60° and EF = 6. Find DE + DF.

Solution:

A triangle is a polygon with three sides. There are different types of triangles such as isosceles triangle, scalene triangle equilateral triangle, right angled triangle.

In triangle DEF:

∠D + ∠E + ∠F = 180° (sum of angles in a triangle)

30 + ∠E + 60 = 180

∠E + 90 = 180

∠E = 180 - 90

∠E = 90°

This is a right angled triangle since one angle = 90° (∠E).

Using sine rule:

\frac{|EF|}{sin(D)}=\frac{|DE|}{sin(F)}  \\\\\frac{6}{sin(30)}=\frac{|DE|}{sin(60)}  \\\\|DE|=10.39\\\\\frac{|EF|}{sin(D)}=\frac{|DF|}{sin(E)}  \\\\\frac{6}{sin(30)}=\frac{|DF|}{sin(90)}  \\\\|DF|=12\\\\

Hence DE + DF = 12 + 10.39 = 22.39

6 0
3 years ago
Determine which of the following are functions. select all that apply
Sergeeva-Olga [200]

Answer:

I still need the whole question to answer it correctly .

Step-by-step explanation:

to determine a fonction a will give you an example .

(2,3) (2,3) (3,5) (8,9)

a) is f(2)

B) is f(4)

C) is f(3)

so in this case the answer would be 4 because 4 is not repeated on the first fonctions which are 2,2,3 and 8.

I don't know if your question is this case but I hope this helps.

3 0
3 years ago
Read 2 more answers
The scale of a map is given as 1 : 20000000. Two cities are 6 cm apart on the map. Find the actual distance between them.
larisa [96]

Answer:

<em>The actual distance between the cities is 1,200 Km</em>

Step-by-step explanation:

<u>Scaling </u>

Objects can be represented in a reduced or augmented size by using scaling which is multiplying or dividing real dimensions by a constant factor. We use scaling when representing geographic locations on a map.

We are given the scale on a map as 1:20,000,000.

Two cities are 6 cm on the map. The actual distance is obtained by multiplying:

6 * 20,000,000 = 120,000,000 cm

Divide by 100 to convert to meters and by 1,000 to convert to km 120,000,000/100/1,000=1,200 Km

The actual distance between the cities is 1,200 Km

5 0
3 years ago
60% of what number is 75
kramer
60\% \ of \ x =75 \\\\ \frac{60}{100}*x=75\\\\ \frac{6}{10}=\frac{75}{x} \\\\ \frac{3}{5}*\frac{75}{x} \\\\ x=\frac{5*75}{3} \\\\ x=5*25 \\\\ \boxed{x=125}
8 0
3 years ago
Turn 32/64 into a percent?
alexandr402 [8]


To turn 32/64 into a percent, you have to divide the numerator by the denominator and then multiply the answer by 100.

So, for this question, divide 32 by 64 which is 0.50. Multiply this decimal by 100 and you get 50.

So 50% is the percent for 32/64.

Hope it helps :)

5 0
3 years ago
Read 2 more answers
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