IF k/3- 9 = 12, what is the value of k? Α. 1 B. 7 C. 9 D.63
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
If we drew an auxiliary line parallel to line and line
that intersects the vertex of
, we would form three angles, one of them being
The largest of these angles corresponds with the angle marked as .
The angle on the bottom right corresponds with the angle next to the one marked as . Therefore, its measure is
.
Since there are in a circle, we can now write the following equation:
.
Answer: point F is at <u> 0.6 </u> on the number line
=============================================================
Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
