Answer:
E!
Step-by-step explanation:
bearing in mind B is at (4,3) and D is at (-2,-4).

Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and

2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
Answer:
y = log base 5 (x) or log5(12)
Step-by-step explanation:
x = 5^y and y = log5(x) are inverses.
The solution can be found by approximating log5(12).
<u>Question 2</u>
1)
,
(given)
2)
(reflexive property)
3)
and
are right angles (perpendicular lines form right angles)
4)
and
are right triangles (a triangle with a right angle is a right triangle)
5)
(HL)
Question 3
1)
is a right angle,
,
(given)
2)
is a right angle (perpendicular lines form right angles)
3)
and
are right triangles (a triangle with a right triangle is a right angle)
4)
(reflexive property)
5)
(HL)
6)
(CPCTC)
7)
bisects
(if a segment splits an angle into two congruent parts, it is an angle bisector)