Answer:
2. 
3. 
- definition of perpendicular
4. 
- all right angles are congruent
6. 
7. 
Step-by-step explanation:
<u>Given: </u>Point P is the perpendicular bisector of AB
<u>Prove: </u>P is equidistant from the endpoints AB
<u>Proof.</u>
1. Point P is on the perpendicular bisector of AB - given
2. - definition of bisector
3. - definition of perpendicular
4. - all right angles are congruent
5. 
- reflexive property of congruence
6. - SAS congruency postulate
7. - corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB - definition of equidistant
For quadrilaterals inscribed in a circle, the opposite angles must sum up to 180 degrees. Therefore, angle I + angle D should add up to 180
45 + angle D = 180
angle D = 135 degrees.
(Similarly, angles L & W would also add up to 180, and angle L = 81 degrees.)
Answer:
n = 13.
Step-by-step explanation:
Slope of the line = (10-1)/3-0) = 3
So the equation of the line is:
y - 1 = 3(x - 0)
y = 3x + 1
When x = 4 y = n, so:
n = 3(4) + 1 = 13.
n = 13.
In a Geometric Sequence,<span> each term is found by </span>multiplying<span> the previous term by a </span>constant<span>. For this case, the constant is 4. To find the sum of the geometric sequence with 8 terms, we use the formula as follows:
</span>∑(ar^k) = a ( 1-r^n) / (1-r)
<span>
where a is the first term, r is the constant, n is the number of terms
</span>∑(ar^k) = 4 ( 1-4^8) / (1-4)
∑(ar^k) = 87380
