Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.

According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.

3 0

2 years ago

Boden's account has a principal of $ and a simple interest rate of %. Complete the number line. How much money will be in the

ycow [4]

Answer:

Step-by-step explanation:

7 0

3 years ago

How do you get (-6,6), (9,1) in Point-Slope Form?

baherus [9]

You go down to the negative number x is first and then you go to the positive number which is y

4 0

3 years ago

Determine the area of the green sector. A) 5 4 π in2 B) 57 8 π in2 C) 19 4 π in2 D) 19 24 π in2

Alex_Xolod [135]

the complete question in the attached figure

we know that
r=3 in
A=π*r²

the area of the complete circle-------> π*3²=9π in²
the green sector=360°-75°=285°
if 9π in²--------------------------> corresponds a 360°
X---------------------------------> 285°
X=285*9π/360=(285/40)*π---> [(3*5*19)/(8.5)]*π=[(3*19)/(8)]*π=(57/8)*π in²

the answer is (57/8)*π in² (the option B)

3 0

3 years ago