Answer:
<K = 34.8°
Step-by-step explanation:
sin K = 4/7
K = (4/7)
<K = 34.8°
Answer:
x = 5 and z = 108
Step-by-step explanation:
We have two intersection lines and since z and 108 lie opposite each other, they are called vertical angles. By definition, vertical angles are congruent to each other, so that means z = 108.
Now, notice that z and 6x + 42 lie on the same line. A line has a measure of 180 degrees, which means that these two will add up to 180 (they are supplementary angles). Then we can write:
z + (6x + 42) = 180
We already know that z = 108, so plug that in and solve for x:
108 + (6x + 42) = 180
6x + 150 = 180
6x = 30
x = 5
Thus, x = 5 and z = 108.
Answer:
A) x = y+25
B) 35 minutes
C) 35 ≠85
Step-by-step explanation:
A)
As we know
X = number of minutes Eric plays basketball
Y = Number of minutes he plays volleyball
x+y= 95
x = y+25
B)
We will replace
x=y+25 in the first equation and we will get (y+25) + y =95
On solving,
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
C) X = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Substituting value of Y as 60 , we get
x = y+25
35 = 60+25
35 ≠85
Answer:
Domain: input values, independent variables
Range: output vales, dependent variables
Step-by-step explanation:
Think of it like a graph: the domain are the x-values and the range is the y-values. if you're doing a problem with time, the time will go on the x-axis and cannot be influenced by the y-values, but the y-vales are depending on what the x-values are (independent/dependent). for the input/output, usually when solving equations on a graph, you plug in the x-value and find the y-value. you're INPUTTING the x-value to receive the OUPUT.