Answer:
B.
Step-by-step explanation:
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
15 points
Step-by-step explanation:
Divide the 75 points by the five days to find the average points lost per day.
75 points / 5 days = 15 points per day
#11
Each roll is 9' long,
length of each roll = 9' * (12"/foot) = 108"
Each ribbon piece = 15", so number of ribbons per roll
=108/15=7 with 3" left over, which is assumed not possible to be joined with other pieces.
Therefore, with 5 rolls, there are 7*5=35 pieces of ribbon, with 5 pieces or 3" left over.
Answer:
a)10
b)5120
Step-by-step explanation:
Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91
Day Number of Ants
1 10
11 20
21 40
31 80
41 160
<em>51 320-----------------given</em>
<em>61 640------------------given</em>
<em>71 1280----------------given</em>
81 2560
91 5120
Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91