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REY [17]
2 years ago
14

30-60-90 triangle..find the value of x

Mathematics
1 answer:
stealth61 [152]2 years ago
4 0

Answer:

21/√3=7√3 or 12.12 simplified

Step-by-step explanation:

Here is the formulas 30-60-90 triangle: hypotenuse = 2short leg short leg = nhypotenuse/2 long leg = short leg√3 short leg = long leg/√3

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1.) List all interior angles (see image)
Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0
3 years ago
Complete the statement.<br> -6/7 -3/7<br> &lt; &gt;
aalyn [17]
Answer: -9/7



Explanation: subtract both numbers because they are negativeand you get -9/7
4 0
2 years ago
Whch expression could be used to change 8 kilometers per hour to meters per minute
vazorg [7]

Answer:

133.33 meters per minute.

#FreeMelvin

5 0
3 years ago
Which ratios have a unit rate less than 1? choose all that apply.
DaniilM [7]

Answer:

2apply.

Step-by-step explanation:

6 0
2 years ago
What is the mean of the data set? {21, 23, 25, 25, 26, 28, 28, 28, 31, 33} 26.8 27 27.8 28
Lerok [7]
In mathematics, mean average means to take the sum of all the numbers and divide the sum by the number of elements in the set.

Add up the numbers.

<span>21 + 23 + 25 + 25 + 26 + 28 + 28 + 28 + 31 + 33 = 268

Divide by the number of elements in the set. Which is 10.

268 / 10 = 26.8

So, the answer to this question is 26.8</span>
8 0
3 years ago
Read 2 more answers
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