Math 7. Grade 7 Evaluate: 6(p÷x) - 2x , if p = 6 and x = 3. SHOW ALL OF YOUR WORK!
2 answers:
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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:
Step-by-step explanation:
Given, A pizza is to be cut into halves.
Since half is represented by .
So each piece is now of the original.
if each of these halves is to be cut into sevenths, then the fraction of final pieces would be: or we can say each half is divides into 7 pieces since there are two halves, so there will be 2 x 7 = 14 peices.
And the fraction of the pizza is each of the final pieces = .