If line AB is parallel to line CD, and line CD is perpendicular to line EF, AB is perpendicular to line EF due to the perpendicular transversal theorem<span>,which says, if a line is perpendicular to another line, then it is perpendicular to the line parallel to the second line.
This theorem can be proved through the transversal postulate and theorems.</span>
The greatest length is the gcf of 52 and 64.
52 = 2 x 2 x 13
64 = 2 x 2 x 2 x 2 x 2 x 2
gcf = 2 x 2 = 4
Therefore, the greatest length of the pieces that can be made = 4 inches
The answer would c & d in this case
Since RT is perpendicular to the river, you have that segment CT is perpendicular to RT and, thus, CT⊥RB, because point B lies in a straight line with points R and B. Angles TCR and TCB are congruent (she walks from C in a direction that makes the same angle as TCR with the river bank on her side of the river).
This means that triangle CRB is isosceles triangle with base BR and height CT, because height CT is also a bisector of angle BCR.
The height CT divides triangle BCR into two right triangles BCT and RCT, where:
- CT is common leg;
- ∠TCR≅∠TCB,
then by LA Theorem these two triangles are congruent (ΔBCT≅ΔRCT).
Congruent triangles have congruent corresponding sides:
If BT turns out to be 75 yards, then TR=75 yards.
By the Pythagorean theorem,
If 
then distance from the spot to the rock is 
Answer: RT=75 yards, 
yards.
Answer:
Marco earned $2.25.
Step-by-step explanation:
1. If Marco sold 12 cups of lemonade for 3$, we would divide 12 cups and how much he earned from the 12 cups (3$). 12/3 = 4
2. By the end of the day, Marco earned $9. So, 4 cups = 1$. To break it down, 1$ = 100 cents and 100 cents divided by 4 is 25 cents. Cups to Cost. ( 4 : 1 ) and/or ( 1 : 0.25 )
3. 8 cups = 2$ plus 1 cup (0.25) = 2.25.
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