Answer:
Write out all the multiples up to 12 of the numbers
Step-by-step explanation:
This will help you fully see which numbers are their LCM as well as just common multiples
Answer:
9.5 lbs
Step-by-step explanation:
To find the total package weight, add up the weights of the packages, or use the shortcut to repeated addition that is called multiplication.
... 1.9 + 1.9 + 1.9 + 1.9 + 1.9 = 5×1.9 = 9.5 . . . pounds
X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
-2 1/4
Step-by-step explanation:
Given:
A figure.
To find:
The value of x.
Solution:
Draw two parallel lines as shown in the below figure.
If a transversal line intersect two parallel lines, then alternate interior angles are same.
(Alternate interior angle)
(Alternate interior angle) ...(i)
The value of angle d is
Using (i), we get
If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.
Now,
Therefore, the value of x is 70.
