What is the value of the function when x = 2? x −4 −2 0 2 4 y 3 4 2 6 7
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Answer:
Part 1) Option The point of concurrency of the angle bisectors of the triangle
Part 2) Option A segment drawn from a vertex to the midpoint of the opposite side
Step-by-step explanation:
Part 1)
we know that
The incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle.
therefore
Is the point of concurrency of the angle bisectors of the triangle
Part 2)
we know that
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side
therefore
Is a segment drawn from a vertex to the midpoint of the opposite side
Final answer:
The incenter of a triangle is the point where the angle bisectors intersect, and it is equidistant from the three sides. A median of a triangle is a line segment connecting a vertex to the midpoint of the opposite side. The medians meet at a point called the centroid.
Explanation:
The incenter of a triangle is the point where the angle bisectors intersect. It is equidistant from the three sides of the triangle. To find the incenter, you can use the formula:
incenter = (ax + bx + cx) / (a + b + c)
where (ax, ay), (bx, by), and (cx, cy) are the coordinates of the triangle's vertices, and a, b, and c are the lengths of the sides opposite to the vertices, respectively.
A median of a triangle is a line segment connecting a vertex to the midpoint of the opposite side. It divides the triangle into two equal areas. The medians of a triangle meet at a point called the centroid.
Learn more about Triangle Incenter and Median here:
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Cross multiply:
25*?= 12*100
⇒ ?= 12*100/25= 48
12 is 25% of 48~
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The length he gave to his brother = 8 inch
Further explanation
There are 7 main quantities that have been determined based on international standards, namely:
- 1. Length, meters (m)
- 2. Time, second (s)
- 3. Mass, kilograms (kg)
- 4. Temperature, kelvin (K)
- 5. Light intensity, candela (cd)
- 6. Electric current, ampere (A)
- 7. Amount of substance, mol (m)
The length indicate the distance between two points in a place
The symbol is usually expressed in l, length
Length measurement can be used by several measuring instruments such as ruler / ruler, caliper length, meter, screw micrometer
The main length unit consists of 7 units other than other units of length such as inches, miles, yards, feet:
- Kilometer, km
- Hectometer, hm
- Dekameter, dam
- Meter, m
- Decimeter, dm
- centimeter, cm
- millimeters, mm
Each one unit descends then multiplied by 10, and if one unit increases then divided by 10
English units are the units that were used in England
For the length , the standart from English unit is yard
The conversions between units:
1 m =
a. 1.09361 yard
b. 6.214.10⁻⁴ mile
c. 3.2808 foot
d. 39.3701 inch
Anthony bought an 8 foot board
He cut off 3/4 of the board and gave 1/3 of the rest to his brother
the length of the board he cut :
L cut = 6 foot
Remaining board length :
8 - 6 = 2 foot
From the length of 2 foot , he gave 1/3 to his brother, so the length of board he gave :
we convert this to inch
1 foot = 12 inch
so for become:
The length he gave = 8 inch
Learn more
book thickness in cm
The mass of A standard baseball
the quantity of 0.0075 meters expressed in centimeters
Keywords: new hose, length, feet, yards
So 8 times by 12 = 96 inches
if you have 3/4 of the board used.
3/4= .75
if you were to times 96 by .75 = 72 inches.
So you used 72 inches and you have 24 inches left
now do 1/3= .33
times .33 by 24= 8
8 inches is how long you would give to Anthony's brother.