Answer:
x = 5, -3
Step-by-step explanation:
x² - 15 = 2x
x² - 2x - 15 = 0
(x - 5)(x + 3) = 0
Answer:
the result of adding these two equations is
3x = 14
Step-by-step explanation:
We are given two equations
5x − y = 6 eq. 1
−2x + y = 8 eq. 2
Add the like terms together
5x - 2x = 3x
− y + y = 0
6 + 8 = 14
So the result of adding these equations is
3x + 0 = 14
3x = 14
Bonus:
The value of x is
3x = 14
x = 14/3
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer:
C, F, and maybe D are correct.
Step-by-step explanation:
Answer: Personality testing refers to techniques that are used to accurately and consistently measure personality.
Step-by-step explanation: Personality is something that we informally assess and describe every day. When we talk about ourselves and others, we frequently refer to different characteristics of an individual's personality.