Answer:
k - 2e + 9 = 0
k - e - 4 = 0
Step-by-step explanation:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
Since a right triangle has special rules to it such that the hypotenuse squared equals the sum of the squares of the other 2 sides. In other words, if the hypotenuse = c, and the 2 smaller sides are a and b, then:
Solving for c (hypotenuse), we get:
Therefore c is the root of the square of the other sides. So by having root18, it's like saying:
Getting rid of the square root, so sides a and b must have their squares total 18:
the only squares < 18 are: 16 (4×4), 9 (3×3), 4 (2×2), and 1 (1×1)
of those above added in any order of two of them, only 16+4
I HOPE THAT IS ALONG THE LINE THAT WAS ASKED FOR!!! :-D
Y=2x+4
the y intercept is 4 and the slope is 2/1
Table D represents a linear function.