<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
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angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
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We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
Let the number of geese be x.
Then number of goats is 22-x.
A goose has 2 legs, and a goat has 4.
There are a total of 82 legs.
So,
2x + 4(22-x) = 82
2x + 88 - 4x = 82
-2x = -6
x = 3
There are 3 geese and (22-3=) 19 goats.
Please mark Brainliest if this helps and feel free to ask doubts!
Fine the area of the circle:
Area of a circle = pi x r ^2
Area of the circle = 3.14 x 4^2 = 50.24 square cm
Find the area of the triangle:
Area of triangle = 1/2 x base x height
Area =1/2 x 8 x 4 = 16 square cm
Find the area of the white part by subtracting the area of the triangle from the circle:
50.24 - 16 = 34.24 square cm.
The probability of landing in white is the area of white/ area of circle:
34.24/50.24 = 0.682
Multiply by 100 to get percent:
0.682 x 100 = 68.2%
Explanation:
Midline: it is a horizontal line where half of the function above it and half of the function is below it.
Amplitude: It means how far the function varies from the midline to the above and below.
Period: the distance between two consecutive maximum points (minimum points).
3) From the graph,
Answer: Midline=1
1) Amplitude
2) Periods
4) The trigonometric equation is,
Answer:
I’m going to use Pythagorus theorem for his question. // firstly I would do 20^2 + 16^2 = 656 // we them square root that number, so the square root of 656 is 25.61, meaning the missing length is 25.6
