Answer:
<h3><1 = <2+< 3.</h3>
Step-by-step explanation:
Given triangle WXY and <1 is an exterior angle.
We need to prove <1 is greater than <2.
First statement is:
Triangle WXY and <1 is an exterior angle.
Reason : Given
<em>Note: An exterior angle of a triangle is the sum of two angles side the triangle those don't makes the linear pair with exterior angle.</em>
We can see that <2 and < 3 are the angles of triangle those are not making a linear pair.
Therefore, <1 = <2+< 3.
So, the second statement should be first option <1 = <2+< 3.
The answer is a. to be a function there can’t be an x value that is the same to a different y value. so as an example (6,7) (3,2) (5,6) (6,3) is not a function because 6 appears 2 times as an x value but with different y values. but you can have the same y value.
Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w

( From equation (1) ),
= 882 in²
Answer:
x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+6=2(2x−3)
Step 1: Simplify both sides of the equation.
5x+6=2(2x−3)
5x+6=(2)(2x)+(2)(−3)(Distribute)
5x+6=4x+−6
5x+6=4x−6
Step 2: Subtract 4x from both sides.
5x+6−4x=4x−6−4x
x+6=−6
Step 3: Subtract 6 from both sides.
x+6−6=−6−6
Answer:
Explicit formula is
.
Recursive formula is 
Step-by-step explanation:
Step 1
In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula ,
In this case the first term
, the common ratio
since the ball bounces back to 0.85 of it's previous height.
We can write the explicit formula as,

Step 2
In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is 
With the parameters given in this problem, we write the general term of the sequence as ,
