Answer:
C. <1 = <4 and <2 = <3
Step-by-step explanation:
When two lines are parallel, the angles that are formed have certain properties.
There is a pair of angles in particular called alternate interior angles; these are basically the angles within the parallel lines. They are always equal to each other. Here, we will use the fact that AB || CD.
AB and CD create the angles 1 and 4. Angles 1 and 4 are alternate interior angles, so they are equal: <1 = <4
Similarly, we need to use the fact that AD || CB. These two parallel lines create the angles 2 and 3. We can see that because these two angles are "within"/formed by the parallel lines, they are alternate interior so they equal: <2 = <3.
Thus, the answer is C.
Hope this helps! (Sorry about the delay!!)
Answer:
C. 3(2x + 5y) is the algebraic expression equivalent to the expression
Step-by-step explanation:
From the question, the given expression is 6x + 15y.
Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).
Checking the remaining options
A. 3(2x - 5y)
Expanding this gives 6x - 15y. It is not equivalent to the given expression
B. 3(5x - 2y)
Expanding this gives 15x - 6y. It is not equivalent to the given expression
D. 3(5x + 2y)
Expanding this gives 15x + 3y. It is not equivalent to the given expression.
Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.
Answer:
Step-by-step explanation:
option 4
Notice that 3 is multiplied on both sides on of the equation to get
5x+6 = -9
Answer:
1
Step-by-step explanation:
g(2)=5(2)-9 Simplify
g(2)=10-9 Subtract
g(2)=1 Write value for g
g=1