Answer:
x = -3
Step-by-step explanation:
5(x-2)+3x-4 = -38
=> 5x-10+3x-4 = -38
=> 5x+3x-10-4 = -38
=> 8x-14 = -38
=> 8x = -38+14
=> 8x = -24
=> x = -24/8
=> x = -3
<u>Adjacent angles on a straight line = 180:</u>
x + x + 48 = 180
2x + 48 = 180
2x = 132
x = 66°
<u>Sum of angles in a triangle = 180:</u>
z = 180 - 66 - 90
z = 24°
Answer: z = 24°
Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (119 + 23) = missing angle
180 - (142) = missing angle
38 = missing angle
So, the missing angle has a measurement of 38°