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grin007 [14]
3 years ago
10

Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can

Mathematics
1 answer:
faltersainse [42]3 years ago
3 0

Answer rude leave me alone i can type whatever i want

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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
Answer all please 50 points
timofeeve [1]

Answer:

1/2 x 5= 2.5

6/10 x 8 = 4.8

3/6 x 9 = 4.5

1/6 x 5 = 0.8333333333 recuring

Step-by-step explanation:

1/2 x 5

1 ÷ 2 = 0.5

0.5 x 5 = 2.5

6/10 x 8

6 ÷ 10 = 0.6

0.6 x 8 = 4.8

3 ÷ 6 x 9

3 ÷ 6 = 0. 5

0. 5 x 9 = 4.5

1/6 x 5

1 ÷ 6 = 0.166666666 recuring

0.166666666 recuring x 5 = 0.8333333333

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Answer:

The answer is 6,001,000,000  k

Step-by-step explanation:

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Determine whether each system of equations has no solution, one solution, or infinitely many solutions
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It has one solution

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