The value of diameter for the given triangle inscribed in a circle will be 22.
<h3>What is a circle?</h3>
A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
As per the given triangle inscribed a circle.
The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.
x + 2 = 2x - 7
2 = 2x - x - 7
x = 9
Thus, radius = 9 + 2 = 11
Diameter = 11 x 2 = 22 units.
Hence "The value of diameter for the given triangle inscribed in a circle will be 22".
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Answer
He got an 80
Step-by-step explanation:
50 - 10 = 40
40/50 as a whole number is 80
Part (a)
The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.
A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.
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Part (b)
While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).
So we multiply each side length in the diagram by 3
- DE = 3*JK = 3*4.5 = 13.5
- EF = 3*KL = 3*3 = 9
- FG = 3*LM = 3*2 = 6
- GD = 3*MJ = 3*2.5 = 7.5
Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG
The price of the book is 125% higher than the price of the notebook if the price of a notebook is 20% less than the price of a book.
<h3>What is the percentage?</h3>
It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
Let x is the price of the book
And y is the price of the notebook,
Then,
y = x- 0.20x = 0.80x
x = (1/0.80)y
x = 1.25y
So x is 1.25 or 125% higher than the, y
Thus, the price of the book is 125% higher than the price of the notebook if the price of a notebook is 20% less than the price of a book.
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Answer:
6ft and 5ft
Step-by-step explanation:
Because 6feet times 5 feet is 30 square feet
