Answer:
Step-by-step explanation:
The length of the midsegment is half of the base in this case.
12x = 8x + 40
4x=40
x=10
So it's 60
Answer:


Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:

We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:


The formula for the sum is:


Operating:

Answer: 128°
Step-by-step explanation:
There are 360° in a trapezoid. Since this is a right trapezoid, two of those angles will be equal to 90°. We will set up the following equation, and solve.
360° = 90° + 90° + 52° + x°
360° = 90° + 90° + 52° + x°
360° = 232° + x°
128° = x
x = 128°
The obtuse angle has a measure of 128°.
Answer:
4 :)
Step-by-step explanation: