1. given
2. transitive prop of equality
3. subtraction property of equality<span />
X and y are the numbers
x>y
diffference is 42
x-y=42
larger is 3 less than 6 times smaller
x=-3+6y
subsitute -3+6y for x
x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9
sub back
x=-3+6y
x=-3+6(9)
x=-3+54
x=51
the numbers are 51 and 9
Answer:
4
Step-by-step explanation:
Given
, substitute the given values into the expression
= 
= 
= 
= 4
Answer:
Step-by-step explanation:
<u>Lets verify with Pythagorean:</u>
- 17² = 289
- 13² + 14² = 169 + 196 = 365
- 289 < 365
The angle opposite to a greater side is less than 90° and the sum of the squares are close.
It means all three angles<u> are less than 90°</u>.
With this the triangle is <u>acute</u>.
Correct choice is A.