Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
Usually, rugs have a rectangular shape, therefore the section of the living room that Patrick wants to cover is a rectangle.
The area of a rectangle can be found by multiplying the length and the width of the rectangle:
A = l × w
Hence, the most appropriate measurements Patrick should provide are the length and the width of the section of his living room he wants to cover.
Answer:
4/3
Step-by-step explanation:
-3y + 4x = -6
-3y = -6 -4y
slove for Y
y = -6/-3 -4/-3 x
Y = -2 +4/3x
Y = 4/3 x -2
Y = 4/3 x -2
so slope or gradient is coefficient of x
4/3 is gradient.
Answer:
y = 2x + 1 --> linear
y = -4x + 7 --> non-linear
Not a solution for linear system.
Step-by-step explanation:
for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:
7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.
for (b), we have to substitute our values again. You get:
7 = -4x3 + 7, which is
7 = -12+7, which is not true. So, (b) is not linear.
This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.
The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:
Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:
Substituting values, you get that the slope of this line is:
You can substitute the slope and the first point into the equation in Slope-Intercept form:
Solve for "b":
Therefore, the Equation of this line in Slope-Intercept form is:
