Answer:
1/8
Step-by-step explanation:
I'm going to try to explain this as easy as possible. What I did was take the original shape and divide it by the new shape. For this question, I solved it by dividing 32(the original base) by 4(the new base) and got 8. So the scale factor of the reduction was 1/8.
Answer:
1. 6
2. 1
3. 5
Step-by-step explanation:
You can find the GCF by finding the prime factorization of the numbers.
1. 12 and 18
12= 2*2*3
18=2*3*3
They both have 2 and 3 in common, so their GCF is 2*3 or 6.
2. 9 and 35
9= 3*3
35= 5*7
Although they don't have any prime numbers in common, all numbers have the factor one in common, so they're relatively prime but their GCF is 1.
3. 15 and 25
15 = 3*5
25= 5*5
They have one 5 in common so their GCF is 5.
Answer:
x = 16
y = 9
Step-by-step explanation:
Find x first. The unmarked angle underneath the x + 19 is 9x + 1 (corresponding angles so congruent so same measure as the angle below)
So the two angles add up to 180°
x+19 + 9x + 1 = 180°
combine like terms
10x + 20 = 180
subtract 20
10x = 160
divide by 10
x = 16
Now you can find the measure of the angle marked 9x+1.
9(16) + 1
= 144 + 1
= 145
Now find y. The angle marked 9x+1 is now known to be a 145° angle. So that angle with the angle marked 3y+8 must make 180°
3y + 8 + 145 = 180
combine like terms
3y + 153 = 180
subtract 153
3y = 27
divide by 3
y = 9
Then Jim has to be very careful and cautious about it
The last one because he has negative money so he has a liability to pay that money back
