Answer:
<B = 47°
<C = 28°
b = AC = 28.0
Step-by-step explanation:
Given:
∆ABC
AB = c = 18
BC = a = 37
<A = 105°
Required:
Length of AC = b
measure of angle B and angle C
SOLUTION:
==>Use the sine rule, sin A/a = sinC/c to find the angle of C:
SinA = sin(105) = 0.9659
a = 37
sinC = ?
c = 18
0.9659/37 = sinC/18
Cross multiply
0.9659*18 = 37*sinC
17.3862 = 37*sinC
Divide both sides by 37
17.3862/37 = sinC
0.4699 = sinC
sinC = 0.4699
C = Sin-¹(0.4699)
C = 28.0° (nearest tenth)
==>Find angle B using sum of angles in a triangle:
Angle B = 180 - (105+28)
Angle B = 180 - 133
Angle B = 47°
==>Find length of b using sine rule, b/sinB = c/sinC:
SinC = sin(28) = 0.4695
SinB = sin(47) = 0.7314
c = 18
b = ?
b/0.7314 = 18/0.4695
Cross multiply
b*0.4695 = 18*0.7314
b*0.4695 = 13.1652
Divide both sides by 0.4695
b = 13.1652/0.4695
b = 28.0 (nearest tenth)
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Answer:
50.5 degrees
Step-by-step explanation:
Since this is a parallelogram then...
Angle U + Angle R = 180
3x+4+9x-10=180
Combine like terms
12x-6=180
Add 6 to both sides
12x=186
Divide both sides by 12
x=15.5
Now we plug 15.5 in for x to find Angle U
3(15.5)4=46.5+4=50.5
Angle U = 50.5 degrees
Answer:
x=1.4
Step-by-step explanation:
Write the equation
Multiply both sides by x
Divide both sides by 4
Hope this helps! Plz award Brainliest : )
