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Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Answer:
One solution
Step-by-step explanation:
y = 2x – 5. –8x – 4y = –20. one solution: (–2.5, 0)
Answer:
100.26
Step-by-step explanation:
You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.
This is what that would look like:
1. Divide 6 (the diameter) by 2 because 
2. plug into the formula 
3. square the 3
4. multiply 9 by 3.14 (pi)
This means the area of both the semi circles added together would equal 28.26
Then you would use the formula 
to find the area of the rectangle
1. plug in the numbers given
· 
2. solve
Then add the area of the semicircles to the area of the rectangle
to get the area of the entire figure:
