For a quadrilateral to be a square, the diagonals <u>must be congruent</u> and <u>must be perpendicular.</u>
Answer: 3 Gallons
Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Answer:
see explanation
Step-by-step explanation:
The 2 marked angles are vertical and congruent, thus
24x = 23x + 5 ( subtract 23x from both sides )
x = 5
Thus angles = 24 × 5 = 120°
