Answer:



Step-by-step explanation:
Given



Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula

For AB





So:

For BC





For AC





So, we have:



By representation



So, we have:



By cosine laws, the angles are calculated using:







Collect like terms


Solve for 


Take arc cos of both sides





Collect like terms


Solve for 


Take arc cos of both sides


For the third angle, we use:
--- angles in a triangle
Make C the subject



The complete statements are as follows;
The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>
Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.
The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.
<h3>What are algerbra tiles?</h3>
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -3.
The complete statements are as follows;
The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>
Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.
The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.
To know more about algerbra tiles click the link given below.
brainly.com/question/81876
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet
Answer:
32, because 8*4 is 32
Step-by-step explanation: