Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer:
72 square units
Step-by-step explanation:
- Identify the height
- Identify the length
- Multiply those two together
- That is your answer
H = 9 units
L = 8 units
A = H × L
A = 9 × 8
A = 72 square units
Answer:
Step-by-step explanation:
Factor using the perfect square rule.
:)
Answer:
Step-by-step explanation:
Given
See attachment
Solving (a): 
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Make the subject
Substitute 
for 
Solving (b): 
To solve for , we make use of:
The relationship between both angles is that they are complementary angles
Solving (c): 
To solve for , we make use of:
The relationship between both angles is that they are alternate exterior angles.
So:
