The measure of angle F is 63° and the measure of angle E is 117°
<u>Step-by-step explanation:</u>
Given that E and F are supplementary angles which means that the sum of the angles is 180°.
Let the measure of angle F=x
given that the measure of angle E is 54 more than F
E=54+x
F+E=180°
x+54+x=180°
2x+54=180°
2x=180-54
=126°
x=126/2=63°
F=63°
E=F+54=63+54=117°
Use the PEMDAS method
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Answer:
this is the anwser
Step-by-step explanation:
4 12 13 triangle
Obtuse scalene triangle.
Sides: a = 4 b = 12 c = 13
Area: T = 23.894
Perimeter: p = 29
Semiperimeter: s = 14.5
Angle ∠ A = α = 17.839° = 17°50'19″ = 0.311 rad
Angle ∠ B = β = 66.782° = 66°46'55″ = 1.166 rad
Angle ∠ C = γ = 95.379° = 95°22'46″ = 1.665 rad
Height: ha = 11.947
Height: hb = 3.982
Height: hc = 3.676
Median: ma = 12.349
Median: mb = 7.517
Median: mc = 6.144
Inradius: r = 1.648
Circumradius: R = 6.529
Vertex coordinates: A[13; 0] B[0; 0] C[1.577; 3.676]
Centroid: CG[4.859; 1.225]
Coordinates of the circumscribed circle: U[6.5; -0.612]
Coordinates of the inscribed circle: I[2.5; 1.648]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 162.161° = 162°9'41″ = 0.311 rad
∠ B' = β' = 113.218° = 113°13'5″ = 1.166 rad
If you would like to know how many hours will Lena need to work before she can afford to buy the computer, you can calculate this using the following steps:
$900 - $473 = $427
$427 / $7 = 61 hours of yard work
Result: Lena will need to work 61 hours before she can afford to buy the computer.
Answer:
0.0100925147183
Step-by-step explanation:
