Assuming both Mario and Todd just walked today.
Mario is every 8 days
Todd is every 14 days.
The days that will coincide is the Least Common Multiple (LCM) of 8 and 14
2 / 8 14
2 / 4 7
2 / 2 7
7 / 1 7
/ 1 1
The LCM = 2 * 2* 2* 7 = 56
The will both walk together in the next 56 days.
Answer:
m∠3 = 112° m∠5 = 38° m∠6 = 68° m∠8 = 74°
You do the others
Step-by-step explanation:
Facts you need to solve this problem.
1. Vertical angles are congruent
2. Alternate interior angles are congruent when lines are parallel
3. Sum of the measures of the angles of a triangle is 180
4. Adjacent angles are supplementary when two lines intersect
m∠3 = 112° (Reason 1 above)
m∠6 = 180 - 112 = 68° (Reason 4)
m∠6 + m∠5 + 74 = 180° (Reason 3)
68 + m∠5 + 74 = 180
142 + m∠5 = 180
m∠5 = 38°
m∠8 = 74° (Reason 2)
That gives you a start, so I will let you find all the others. OK? I know you don't want to do that, but you need to be able to do this type of problem. Now, go for it!!
The number you are in search of is -52.
To find this, we first have to write the equation that goes along with the sentence. For this, we need to take it one term at a time.
Negative sixteen (-16) plus (+) the quotient of a number and -4 (x/-4) is (=) -3.
Now put the parenthesis together
-16 + x/-4 = -3
Now we can solve this for x.
-16 + x/-4 = 3 ---> add 16 to both sides
x/-4 = 13 ----> multiply both sides by -4
x = -52
use the term blocks to make your addition problem
