The answer is III only, or D.
We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D.
Answer:
9x -45
Step-by-step explanation:
The distributive property tells you the factor outside parentheses applies to each of the terms inside parentheses:
-9(-x +5) = (-9)(-x) +(-9)(5)
= 9x -45
Answer:
-(-4)(-6)*3/5(10+15)
when there is a (-) in front of an expression in parentheses, change the sing of each term in the expression.
4*(-6)*3/5*(10+15)
Add the numbers (10+15)
4(-6)*3/5*25
multiplying an odd number of negative terms makes the product negative
-4*6*3/5*25
reduce the number with the greatest common factor 5
-4*6*3*5
calculate the product
solution
-360
