Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Answer:
Step-by-step explanation:
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There is multiple possibilities:
<span>1050 equals 1 times 1050
1050 equals 2 times 525
1050 equals 3 times 350
1050 equals 5 times 210
1050 equals 6 times 175
1050 equals 7 times 150
1050 equals 10 times 105
1050 equals 14 times 75
1050 equals 15 times 70
1050 equals 21 times 50
1050 equals 25 times 42
1050 equals 30 times 35
1050 equals 35 times 30
1050 equals 42 times 25
1050 equals 50 times 21
1050 equals 70 times 15
1050 equals 75 times 14
1050 equals 105 times 10
1050 equals 150 times 7
1050 equals 175 times 6
1050 equals 210 times 5
1050 equals 350 times 3
1050 equals 525 times 2
1050 equals 1050 times 1</span>
139, 149, 159, 169, 179, 189, 199, 209, 219, 229, 239, 249, 259.
The common difference is 13.
Let n = 52
Let d = common difference
a_52 = 139 + (52 - 1)(13)
a_52 = 139 + (51)(13)
a_52 = 139 + 663
a_52 = 802
