Answer:
x = 35 degrees
Step-by-step explanation:
∠BCA = ∠DAF because they are corresponding angles.
∠BCA + 42 + 103 = 180 (angles in a triangle = 180)
∠BCA = 180 - (42+103)
∠BCA = 35
∠BCA = x (corresponding angles)
x = 35
Answer:
Think about what domain and range is. Domain is the x and range is the y.
Step-by-step explanation: What values of x can you put in this function? Is there any number you cannot use?? Then what y's will you get back? The best way to find out might be to graph it to look. Since it is an even function whose ends go up, all the y's will be greater than or equal to the y value of the vertex.
A box plot does not show the mean or the number in the sample. It does show
... The lower quartile for the data
Answer:
Nina will be 18 years old when she is half as old as her mother.
Step-by-step explanation:
With the information provided, you can write an equation that indicates that Mrs. Matthews current age plus x which would be the number of years until Nina will be half as old as her mother would be equal to two times nina's age plus x, as you would have to multiply Nina's age at that time for 2 to be equal to her mother's age. The equation would be:
24+x=2(6+x)
Now, you can solve for x:
24+x=12+2x
24-12=2x-x
12=x
Finally, you have to add the value of x plus Nina's current age to determine her age when she is half as old as her mother:
12+6=18
Acording to this, the answer is that Nina will be 18 years old when she is half as old as her mother.