Answer:

Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout

Where

So:



Next, the area of the complete trapezium

Where



So:



The area of the desk is:



The statement must be true is AC = DF ⇒ A
Step-by-step explanation:
When two triangles are congruent, then
- Their corresponding sides are equal in lengths
- Their corresponding angles are equal in measures
- Their perimeters and areas are equal
∵ ΔABC ≅ DEF
- Their corresponding sides and angles are equal
∴ AB = DE ⇒ AB is the corresponding side of DE
∴ BC = EF ⇒ BC is the corresponding side of EF
∴ AC = DF ⇒ AC is the corresponding side of DF
∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D
∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF
∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F
- Look to the answer to find the correct statement
∴ AC = DF
The statement must be true is AC = DF
Learn more:
You can learn more about the congruent of triangles in brainly.com/question/6108628
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Answer:
x = 15
Equation = x
__. +4=9
3
Step-by-step explanation:
x = number
x
__. + 4 =9
3
First, you subtract 4 on both sides of the equation to get x by itself.
x
__. = 5
3
Then, you multiply the denominator (3) on both sides to get x by itself
x = 15
The length of the rectangle would be 18 centimeters