On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
Answer:there were 23 birds and 4 cats
Step-by-step explanation:
Let x represent the number of birds at the shelter on Thursday.
Let y represent the number of cats at the shelter on Thursday.
Maya found a record showing that there were a total of 27 birds and cats on Thursday. This means that
x + y = 27
An animal shelter spends $2.00 per day to care for each bird and $6.00 per day to care for each cat. Maya noticed that the shelter spent $70.00 caring for birds and cats on Thursday. This means that
2x + 6y = 70 - - - - - - - - - - - - - - 1
Substituting x = 27 - y into equation 1, it becomes
2(27 - y) + 6y = 70
54 - 2y + 6y = 70
- 2y + 6y = 70 - 54
4y = 16
y = 16/4
y = 4
x = 27 - y = 27 - 4
x = 23
To figure this out, you need to multiply all the dimensions together. 100x30=. 3,000cm and 3,000x12= 36,000 cubic centimeters. So now you can divide the 36,000 by 1000 to get the amount of liters the entire tank can hold. 36,000/1000= 36 liters. And because you want to know how much half of the tank is, you divide 36 by 2 and get 18 liters
Answer:
a. 120
b. -120
c. -120
d. -120
e. 120
Step-by-step explanation:
The amount of - will influence whether the value is positive or negative. Odd number of - is always negative. Even number of - is always positive. Hope this helped :)
Answer:
42
Step-by-step explanation:
During the season, 40% of the goals are scored the by the star player. This means that 60% of the goals are scored by everyone else.
100% - 40% = 60%
To find how many goals are scored by the rest of the team, convert the percentage to a decimal. You then have to multiply the decimal by the total goals scored.
60% = 0.6
70 × 0.6 = 42
The rest of the team scored 42 goals.
