I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.
3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Possible combination with no repeating number.
1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
I think the answer is A sorry if I’m wrong
Answer:
41 degrees
Step-by-step explanation:
All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.
- 3x + 15 = 117
- 3x = 117 - 15
- 3x = 102
- x = 102/3
- x = 34
Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.
Answer:
855
Step-by-step explanation:
1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:
Time | Inches traveled
0.1 | 90
0.2 | 85
0.3 | 80
0.4 | 75
0.5 | 70
0.6 | 65
0.7 | 60
0.8 | 55
0.9 | 50
1.0 | 45
1.1 | 40
1.2 | 35
1.3 | 30
1.4 | 25
1.5 | 20
1.6 | 15
1.7 | 10
1.8 | 5
1.9 | 0
90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855
