Answer:
78°
Step-by-step explanation:
Angles on a straight line = 180°
AD is the straight line
Angle BFA = 48
Angle CFD = 54
54 + 48 = 102
180 - 102 = 78
Therefore, Angle BFC = 78°
Answer:
See below.
Step-by-step explanation:
match the vocabulary word to its correct definition
1 additive identity
—the number 0 (for the numbers)
2 equation
—a mathematical sentence whose verb is ‘equal’ (=)
3 multiplicative identity
—the number 1 (for the real numbers
4 open sentence
—an equation that contains a variable or variables
5 symmetric property
—when the sides of an equation are interchanged, an equivalent equation is formed ; if a=b, then b=a
Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
Answer:
Harry swims at 1.6 laps per minute and Larry swims at 1.8 laps per minute. Henry swims at a slower rate than Larry.
Step-by-step explanation:
i dont know for sure if this is right or not but i think it is. i mean for Henry the only number i have is 1.6 and so if that is going to be multiplied by x which is his minutes i would guess that that is the rate he is swimming at per minute. and as for larry, i took 4.5 (which is his laps) and divided it by 2.5 (which is his time) to get how many laps per minute he swims. i got 1.8. 1.6 is slower than 1.8 so therefore, i concluded that harry swam at a slower rate than larry.
Answer:
1. 3
2. 2
Step-by-step explanation:
| |
x | + | 1 | | x^2 | + | 4 x | - | 2
x^3 | + | 5 x^2 | + | 2 x | + | 1
x^3 | + | x^2 | | | |
| | 4 x^2 | + | 2 x | |
| | 4 x^2 | + | 4 x | |
| | | | -2 x | + | 1
| | | | -2 x | - | 2
| | | | | | 3
__________________________________________
| |
x | - | 5 | | x^2 | - | x | + | 0
x^3 | - | 6 x^2 | + | 5 x | + | 2
x^3 | - | 5 x^2 | | | |
| | -x^2 | + | 5 x | |
| | -x^2 | + | 5 x | |
| | | | | | 2
| | | | | | 0
| | | | | | 2
