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:
One rose bush = $3
One bunch of ornamental grass = $4
Step-by-step explanation:
We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

Thus, 1 bunch of ornamental grass is $4.
The first question each friend gets 1/8 of the whole pizza
for half of the pizza each friend gets 1/4 so that times 2 equals 1/8
The second question one person gets 1/15 of the brownie pan
1/5 times 3 equals 1/15
The third question 1/3 cup one serving 1 cup three servings three times six equals 18 servings
The fourth question 1/5 cup one muffin one cup 5 muffins five times nine equals forty-five muffins
Hope this helps
Answer:
is the required expression.
Step-by-step explanation:

Best Regards!