Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer:
That is a parallelogram so that opposite angles are equal.
10x -27 = 2x + 29
x = 7
and therefore those angles equal 43 degrees each
It is a parallelogram, so
angle V + W +X + Z = 360
we know that angle Y + angle W = 2 * 43 = 86 degrees
angle V + angle X = 360 -86 degrees
angle V + angle X = 274 degrees
angle V = 274 / 2 = 137 degrees
Step-by-step explanation:
Bro that is easy just pau
Answer:
1.) different, subtract, 14
2.) same, add, -33
3.) same, add, -70
4.) different, subtract, 0
5.) different, subtract, -10
6.) different, add, 12
7.) same, subtract, 3
8.) different, subtract, -4
9.) different, subtract, -4
10.) 14
11.) Mark has more, he has $14 more
12.) 9
13) -13 - 12 = -25
14) 200 - 40 = 60
15) 12 - 3 = 8
Option b is true to match the vector field f with the given plot f(x, y)=x, -y
<h3>What is meant by a function?</h3>
The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).
Given,
f(x, y) = x, -y
gt; at x⇒∞, y⇒-∞ downwards
at x⇒∞, y⇒+∞ downwards
Therefore, option b is true to match the vector field f with the given plot
f(x, y)=x, -y
To know more about function, visit:
brainly.com/question/24428416
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The complete question is as follows:
Match the vector field f with the correct plot. f(x, y) = x, −y