Step-by-step explanation:
Hypothesis - Statement following the word 'Íf'
Conclusion - Statement after the word 'Then'
26. If you are a basketball player, then you are at least 5’9” tall.
Hypothesis - If you are a basketball player
Conclusion - then you are at least 5’9” tall.
27. If three points lie on a line, then they are collinear.
Hypothesis - If three points lie on a line
Conclusion - then they are collinear.
28. If you are 13 years old, then you are a teenager.
Hypothesis - If you are 13 years old
Conclusion - then you are a teenager.
29. 9x=36 implies x=4.
Hypothesis - 9x=36
Conclusion - x=4
30. A =+~ B only if mA =+~mB
Hypothesis - if mA =+~mB
Conclusion - A =+~ B
<u>Answer</u>
2nd diagram
<u>Explanation.</u>
When contraction a parallel line from a point say N, outside the line, the first thing is to draw a line from point N to the that line.
The point where this line from N intersect with line, name it say P. From this point you can use the properties of angles in a parallel lines to construct the parallel line.
The line NP can act like a transverse of the two parallel lines. The diagram 2 shows first step.
Answer:
315
Step-by-step explanation:
180+((75/100)x180)=
180+(3/4 x 180)=
180+135=
315
I believe the value is the original number itself
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³