The diagram shows that
AB = 5
AC = AB+BC = 5+2 = 7
DE = 7
DF = DE+EF = 7+x
So,
AB/AC = DE/DF
5/7 = 7/(7+x)
5(7+x) = 7*7
5(7+x) = 49
35+5x = 49
5x = 49-35
5x = 14
x = 14/5
So EF = 14/5 in fraction form
In decimal form, EF = 2.8 (since 14/5 = 2.8)
Answer:
-2 < x < 7
Step-by-step explanation:
And implies intersection
x can be anything greater than -2 but it also has to be less than 7.
Therefore between -2 and 7
Each time x increases by 2 (eg: from x = -3 to x = -1), the value of y increases by 7 (eg: y = 9.5 to y = 16.5)
Change in y = 7
change in x = 2
Slope = (change in y)/(change in x) = 7/2 = 3.5
This all means that we have a linear equation
Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
Answer:
C.
Step-by-step explanation:
The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.
To find the answer, we can go through each choice.
A. Females taking Geometry
Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.
B. Females taking Algebra II.
Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.
C. Males taking Geometry.
Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.
D. Males taking Algebra I.
44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.