Answer:
1/x-2; domain is the set of all real numbers except 2
Step-by-step explanation:
So ur going from a smaller shape to a larger shape....means the scale factor is more then 1. The scale factor is the number that u multiply the original shape by to get the other shape.
so lets look at DE...it is 2.....and D'E' is 6
so 2 * x = 6...with ur scale factor being x
2x = 6
x = 6/2
x = 3.....so the scale factor is 3....because multiplying the original shape by 3, gives u the other shape
1/2 = 0.5
12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
Refer to the diagram below. Note how I divided the figure into two rectangles.
The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.
The smaller blue rectangle has dimensions 4.5 feet by 5 feet (the 5 is from 15-10 = 5), so it has area 4.5*5 = 22.5 square feet
Now add up those individual areas to get the total area
125+22.5 = 147.5
Then convert that to a mixed number
147.5 = 147 + 0.5 = 147 + 1/2 = 147 & 1/2
<h3>The correct area is 147 & 1/2 feet</h3>
The solutions of the equation are -12 and 16
Step-by-step explanation:
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then
∵ 2Ix - 2I - 8 = 20
- At first add 8 to both sides
∴ 2Ix - 2I = 28
- Then divide both sides by 2
∴ Ix - 2I = 14
Now By using the notes above equate x - 2 by 14 and -14
∵ x - 2 = 14
- Add 2 to both sides
∴ x = 16
∵ x - 2 = -14
- Add 2 to both sides
∴ x = -12
The solutions of the equation are -12 and 16
Learn more:
You can learn more about solving equations in brainly.com/question/2386054
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Answer: x = 16°
Step-by-step explanation:
- This is a right triangle, which means all angles add up to 180°.
- One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.
This means (x+26)° + 3x° = 90°.
Solve for x:
x + 26 + 3x = 90
x + 3x = 90 - 26
4x = 64
x = 64 ÷ 4 = 16°
