Answer :
Let the first term of both the terms be 
and last term be 
Now, by using the mid point formula to find the mid point of the segment -
Now, by substituting the values of both x and y -
Adding -7 and 6 -
Now, move the negative in front of the fraction -
Answer:
All statements are correct for two congruent triangles
Step-by-step explanation:
If two triangles are congruent than the rules states that
Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.
As the fig shows two triangle
Δ PQR
Δ LMN
All three corresponding sides of triangle are congruent
all three corresponding angles are congruent
Both triangle are of same size
Both are of same shape
hence all the statements are CORRECT
Keywords:Geometry
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Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Answer:
87
Step-by-step explanation:
Do what's inside the paranethesis first
2+(9*3)=2+27=29
29*3=87
1. A=15 and P=16
2. A=16 and P=20
3. A=12 and P=15
4 A=25 and P=20
5. A=28 and P=22
6. A=9 and P=20
7. A=14 and P=18
8. A=24 and P=20
9. A=30 and P=22
10. A=21 and P=20
