Answer:
45
Step-by-step explanation:
because its a right angled triangle which should be 90 degrees so 90-45=45 so AC is 45 and AB is 45 so the triangle ACB is 90
The complete question required that we determine how far is the movie theater to the mall.
<h3>Distance between the movie theatre and the mall </h3>
According to the question;
- Upon representation of the movie theatre and mall position on the coordinate plane relative to the post office; we have;
- Movie theater, T = (5, 10)
- Mall, M = (9, 7).
The distance between the two points can therefore be evaluated by Pythagoras theorem as follows;
Distance, D² = (9-5)² + (7-10)²
Ultimately, the movie theater is 5 blocks away from the mall.
Read more on distance between two points;
brainly.com/question/23848540
Answer:
36π inches
Step-by-step explanation:
Formula for the area of a circle is A = π r^2
Plug in 6 for r into the equation. A = π 6^2
A = 36π
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
