LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.
Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:
6: 6, 12, 18, 24, 30, 36
15: 15, 30, 45, 60, 75, 90
The LCM of 6 and 15 is 30.
Answer:
Below.
Step-by-step explanation:
IQR is the same
Number of data points is the same.
Mode - can't tell
Range - different
First quartile - same
Median - different.
Answer:
2 divided by 22 equals 0.55. 8 divided by 15 equals 0.53. So runner A had a greater average speed.
Step-by-step explanation:
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:

Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is

Substituting the algebraic expressions for both angles:

Subtracting 8.6 and 3.5x:

Operating:


The two angles are:


As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:


2x - 3 < 11 or 8x -10 < 82: <span>X < 23/2
<span>
Part 1</span>
</span>2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2 / 14 / 2
Refine
x < 7
<span>
Part 2</span>
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8 / 92 / 8
Refine
x < 23 / 2