That's Intersecting Secants, and we get
EC × ED = EB × EA
(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x^2 + 9x + 20 = x^2 + 13x + 12
8 = 4 x
x = 2
Check: 3(14)=42 6(7)=42 good
Answer: 2
Answer:
The scale factor for the resultant rectangle is
units.
Step-by-step explanation:
Given two rectangles with sides 3 units and 7.5 units.
We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.
Scale factor is defined as the ratio of corresponding side of given figure to the corresponding side of resulting figure.
That is 
Here, 

Hence, the scale factor for the resultant rectangle is
units.
Answer:

Step-by-step explanation:
tan = opposite / adjacent
opposite side is the y-coordinate of a point on the terminal side
adjacent side is the x-coordinate of a point on the terminal side
if the terminal side is in the second quadrant (the top-left quadrant), a coordinate on the terminal side would have a negative x-coordinate and a positive y-coordinate
This being the case:
the opposite side (y) would be -3 and the adjacent side (x) would be 7
using the Pythagorean theorem:


The hypotenuse is c, so it equals 
sin = opposite / hypotenuse
so sin(theta) = 
<h3>
Answer: B. (40,40)</h3>
Explanation:
<u>Given Inequalities</u>:
(i) 3x + 8y ≤ 480
(ii) y - x ≤ 20
For first inequality:
(a) y intercept: (0, 60)
(b) x intercept: (160, 0)
- Plot this line with a solid line and shade below.
For second inequality:
(a) y intercept: (0, 20)
(b) x intercept: (-20, 0)
- Plot this line with a solid line and shade below.
The point (40, 40) falls between these two inequalities.
The question is asking to state how can you tell when a pattern shows counting on by tens, when you subtract the two number and there difference would be 10, that would be and an indicator. Hope i helped!