he relationship between angle TAM and angle CAS is: vertical angles pair, and they are congruent to each other.
<h3>What are Vertical Angles Pair?</h3>
When two straight lines intersect each other at a point, they form four angles. The pair of angles that are directly opposite each other are referred to as vertical angles pair. These angles are congruent to each other. That is, they have the same angle measures.
The image attached below shows the intersection of two lines, line CT and line SM. They intersect at A to form four angles.
Two pairs of vertically opposite angles were formed. angle TAM and angle CAS is one of the vertical angles pair that was formed.
Therefore, the relationship between angle TAM and angle CAS is: vertical angles pair, and they are congruent to each other.
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<u>Given:</u>
A composite figure made up of a rectangle and two pentagons.
<u>To find:</u>
The area of the composite shape.
<u>Solution:</u>
If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by
In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.
The area of a pentagon 
sq units.
The area of 2 such pentagons 
square units.
The rectangle has a length of 14 units and a width of 8 units.
The area of a rectangle 
The area of the rectangle 
square units.
The area of the composite shape is the sum of the individual areas of the different shapes.
The area of the composite shape 
sq units.
The area of the composite shape is option A. 332 sq units.
Steps:
32yd. * 15yd. = 480 sq. yd
96 sq. yd. + 480 sq. yd = 576
Description:
We know that the prism is 13 yards long with a base of 12 yards and height of 8 yards. Meaning.
H = height
B = Base
P= Prism
The area of the prism each is 12yd * 8yd/2 = 48. So the two triangle combined area will be 96 yd. Meaning we get the number 32yd times it by 8 divide by 2 = the answer will equal as 48yd .The perimeter of both identical, isosceles triangles triangles are 10yd. + 10yd. + 12yd. = 32yd. and the length of those sides is 15yd. So the last step is to 32yd. * 15yd. = 480 sq. yd. Now you combine the two areas yields the total
. 96 sq. yd. + 480 sq. yd = 576 sq. yd. total Answer will come as 576. Meanign the correct answer for this question is 576 yd.
Answer: 576 sq. yd. total
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