Answer:
On #7.
Step-by-step explanation:
12(3+y)=5(2y+8)=
12y+36=10y+40=
12y-36=10y+40-36=
12y=10y+4=
12y-10y=4
2y=4
2y/2=4/2
y=2
Answer:
425 miles per hour
Step-by-step explanation:
Find the speed per hour by dividing the distance by the number of hours:
6375/15
= 425
This means the plane traveled 425 miles in one hour.
So, the plane's average speed was 425 miles per hour
According to ratio theorem;
x = 2/5(Q) + 3/5(P)
= 2/5(12.5,7.5) + 3/5(2,1)
= 2( 2.5, 1.5) + 3( 0.4, 0.2)
= (5,3) + (1.2,0.6)
= (6.2, 3.6)
The Coordinates of X will be;
=(6.2, 3.6)
Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.
