How might you prove your observations about the slope of a midsegment in part d using algebra and x- and y-coordinates? Briefly
2 answers:
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Answer:
360°
Step-by-step explanation:
From the figure attached,
R, S, T and Q are the points on a circle O.
Since, "measure of an arc of a circle is equal to the measure of the angle subtended by the arc at the center."
By this statement,
m(major arc RQ) = m(∠QOR)
Now + m(major arc RQ) =
Since sum of all angles at a point = 360°
+ m(major arc RQ) = 360°
Answer:
The area of the enlarged triangle is times the original area
Step-by-step explanation:
we know that
The scale factor is equal to divide the measurement of the length side of the enlarged triangle by the the measurement of the length of the corresponding side of the original triangle
In his problem
Let
x------> the length side of the original triangle
so
2x-----> is the length of the corresponding side of the enlarged triangle
-------> that means is increasing
The scale factor squared is equal to the ratio of the area of the enlarged triangle divided by the area of the original triangle
so
Let
m-------> the area of the enlarged triangle
n------> the area of the original triangle
r-------> scale factor
we have
substitute
therefore
The area of the enlarged triangle is times the original area
Answer:
1. 3; 2. 12; 3. 5; 4. 13; 5. 10; 6. 10
Step-by-step explanation:
We can use the distance formula to calculate the lengths of the line segments.
1. A (1,5), B (4,5) (red)
2. A (2,-5), B (2,7) (blue)
3. A (3,1), B (-1,4 ) (green)
4. A (-2,-5), B (3,7) (orange)
5. A (5,4), B (-3,-2) (purple)
6. A (1,-8), B (-5,0) (black)
