Answer:
x = 7
Step-by-step explanation:
See the attached figure.
As shown: A C D F is a trapezoid and BE is a mid-segment.
The mid-segment of the trapezoid is the average of its bases.
BE = 0.5 ( A F + C D)
Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12
So,
2x + 10 = 0.5 ( 18 + 6x - 12)
Solve for x
2x + 10 = 0.5 (6 + 6x)
2x + 10 = 3 + 3x
10 - 3 = 3x - 2x
∴ x = 7
<u>So, the value of x is 7</u>
1. The information given in the problem above, is:
- Austin purchases <span>2/3 of a pound of yum yum treats.
- Y</span><span>um yum treats are $6.00 per pound (1 pound=$6.00).
2. Keeping this on mind you have: If 1 pound of </span>yum yum treats is $6.00, how much is 2/3 of a pound?
1 pound------------$6.00
2/3 of a pound----x
x=(2/3)(6.00)/1
x=(2/3)(6.00)
x=12/3
x=$4.00
<span>
Therefore: How much does Austin pay?
</span>
The answer is: Austin pays $4.00.
Answer: angle B will be 90°
Sum of the angles = 180°
-3(2x-4)+8x-8
-6x+12+8x-8
2x+4
x=2
