Answer:
6 < x < 30
Step-by-step explanation:
By the Hinge Theorem, we know that
Angle BAC > Angle DAC
The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.
When we compare the two angles 48 and (2x-12), we now know that 48 is larger.
48 > 2x-12
48+12 > 2x
60 > 2x
60/2 > x
x < 30
Furthermore, angle DAC can't be negative or zero
2x - 12 > 0
2x > 12
x > 6
The slope is 1, so m = 1.
The given point is (x,y) = (1,5) which means x = 1 and y = 5 pair up together.
Plug the three pieces of info (m = 1, x = 1, y = 5) into the y = mx+b equation. Then solve for b
y = mx+b
y = 1*x + b ... replaced m with 1
5 = 1*1 + b .... replaced x with 1, replaced y with 5
5 = 1+b
1+b = 5
b+1 = 5
b+1-1 = 5-1
b = 4
Since m = 1 and b = 4, we know that y = mx+b turns into y = 1x+4 which simplifies to y = x+4
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Answer: y = x+4
<span>The equation yˆ=31314⋅1.06^x estimates the population of a town x years after the year 1995.
What is the estimated population of the town in the year 2000? Note that 2000 is 5 years past 1995, so x will be 5:
y (in the year 2000) = 31314*1.06^5 = 41906 (must round off to the nearest integer)</span>
Answer:
x = -2
Step-by-step explanation:
Solution:
-5x - 5y = 25 -(1)
3x + 5y = -21 -(2)
Adding (1) and (2),
-5x - 5y + 3x + 5y = 25 - 21
-5x + 3x -5y + 5y = 4
-2x = 4
x = 4 / -2
Therefore, x = -2
PLZ MARK ME AS BRAINLIEST!!!
Answer: Negatively Skewed
first option
Step-by-step explanation:
just did it on edge
