Answer:
12 cm
Step-by-step explanation:
The formula for the area of a trapezoid is written as:
1/2(b1 + b2)h
h = height = 16 cm
b1 = Length of one parallel side = 9cm
b2 = Length of second parallel side = ?
Area of trapezoid = 168cm²
The formula to find the length of the second parallel side =
b2 = 2A/h - b1
b2 = 2 × 168/16 - 9
b2 = 336/16 - 9
b2 = 21 - 9
b2 = 12cm
Therefore, the length of the second parallel side is 12 cm
Answer:
x = - 6
p = 9
k = 1
Step-by-step explanation:
See attached worksheet.
If Sonya already has 140 beads, she needs 60 beads in order to have a total number of 200 beads. You have to find how many bags (that hold 10 beads) are needed to add up to 60.
140 + 10x = 200
10x = 60
x = 6
Sonya needs 6 bags
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°