9514 1404 393
Answer:
- JK slope: -1/3
- KL slope: 3
- JL slope: -7
- is
- two of the slopes have a product of -1
Step-by-step explanation:
The slope formula is useful.
m = (y2 -y1)/(x2 -x1)
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JK slope = (1 -2)/(3 -1) = -1/3
KL slope = (-5-1)/(1-3) = -6/-2 = 3
JL slope = (-5-2)/(1-0) = -7
We observe that slopes (-1/3) and (3) have a product of -1, so those line segments are perpendicular. The triangle is a right triangle.
1 : 15 - scale
150 / 15 x 1 = 10
120 / 15 x 1 = 8
Dimensions of the drawings = 10 by 8
This is a ratio problem:
26/18 = 39/x
to solve for x cross multiply: 18 * 39 = 702 and then divide by 26
702 / 26 = 27
x = 27
The radius of the Outer circle (with r₂) is 6 and the radius of the inner circle (with r₁) is 2. When objects are similar, they have a proportional relationship. If we take the outer circle and squeeze by one third, we get a radius of 6 x 1/3 = 2. On the other hand, if we start with the inner circle and stretch it by 3, we get a radius of 2 x 3 = 6.
Thus, to make r₂ similar, we use a scale factor of 1/3. The third choice is best.
To find the reciprocal of a fraction, you switch the numerator and denominator, for example the reciprocal of 2/5 is 5/2. With our mixed number, we convert to an improper fraction, 17/3Then we find the reciprocal, which is 3/17. I hope this helps!
