Consider two <u>right triangles</u>:
1. ΔABC with <u>vertices</u> A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (<u>vertical leg</u>), AC=6 units (<u>horizontal leg</u>).
2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).
The equation of the line BC is

Check whether points Y and Z lie on this line:
Y(6,0):
- true;
Z(36,-10):
- true.
Answer: the hypotenuses of these two triangles could lie along the same line
Answer:
1
Step-by-step explanation:
m= y/x =5/5= 1
__________
The absolute value of |-78| is 78
Answer: note I will just replace the Shape by an X
a) X + 9 = 9 + 6; X=6 Commutative Propertie
b) 0 + X = 7; X=7 Additive Identity Propertie
c) X + (7 + 3) = (4 + 7) + 3; X=4 Associative Propertie
Step-by-step explanation:
There are four mathematical properties which involve addition. Commutative, associative, additive identity and distributive properties.
Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Additive Identity Property: The sum of any number and zero is the original number.
Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.