The measure of m<WUV is 53 degrees
<h3>Lines and angles</h3>
Given the following parameters
m<TUW = 22 +7x,
m<WUV = 41+ 6x
m<TUV. = 89
The related expression is given as:
m<TUV + m<WUV = m<TUV.
Substitute
22+7x+41+6x = 89
63 + 13x = 89
13x = 89 - 63
13x = 26
x = 2
Determine the measure of m<WUV
m<WUV = 41 + 6(2)
m<WUV = 41 + 12
m<WUV =53 degrees
Hence the measure of m<WUV is 53 degrees
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The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Let x represent the length and y represent the width. Hence:
x + 2y = 50
x = 50 - 2y
Also:
xy = 288
(50 - 2y)y = 288
y = 9; and y = 16
x = 32; and x = 18
The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
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She bought 4 English books and 2 math books
27 x 4 = 108
23 x 2 = 46
108+46=154
Answer:
Option 2: (1, 0) and (0, -5)
Step-by-step explanation:
Let's solve this system of equations using the elimination method.
Start by labelling the two equations.
5x -y= 5 -----(1)
5x² -y= 5 -----(2)
(2) -(1):
5x² -y -(5x -y)= 5 -5
Expand:
5x² -y -5x +y= 0
5x² -5x= 0
Factorise:
5x(x -1)= 0
5x= 0 or x -1= 0
x= 0 or x= 1
Now that we have found the x values, we can substitute them into either equations to solve for y.
Substitute into (1):
5(0) -y= 5 or 5(1) -y= 5
0 -y= 5 or -y= 5 -5
y= -5 or -y= 0
y= 0
Thus, the solutions are (0, -5) and (1, 0).
