C) 4/7 is not equal to 1/2
Answer:
90°
Step-by-step explanation:
All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.
Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.
You can <u>solve using an equivalent</u>. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.
Let x be the central angle for lemonade

Solve for the central angle of lemonade by <u>isolating 'x'</u>. To isolate x, move 360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.

360 cancels out on the right
Combined multiplication in numerator
When dividing, 0s cancel out
Simplify fraction over 1
Answer
Therefore the central angle in the Lemonade section is 90°.
Answer:
see explanation
Step-by-step explanation:
Calculate the perimeters by summing the measures of the sides.
Left figure ( starting with base and summing clockwise )
x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )
= x + 5 + x - 6 + y - 5 + 6 + y
= 2x + 2y
Right figure ( starting with base and summing clockwise )
x + 2 + (x - 3) + (y - 2) + 3 + y
= x + 2 + x - 3 + y - 2 + 3 + y
= 2x + 2y
Both figures have perimeters of 2x + 2y cm
This is correct. The x-axis and the y-axis cross each other under a 90 degree angle. This gives us 4 quadrants with different values. The first quadrant is the upper-right (+,+), the second quadrant is, going counter-clockwise, the upper left (-,+), the third quadrant is the lower left (-,-), and the last, fourth one is the lower right (-,+). Positive values on the x-axis are on the right side of the meeting point, and the negative values are on the other side. The positive values on the y-axis are on the upper part. So, if the point is first with two positive values, it means that it is in the 1st quadrant. Moving it across the x-axis would take it in the same position but down, in the 4th quadrant (-,+), and then reflecting it across the y-axis would move it in the same place but left, like in a mirror, and it would place it in the 4th quadrant with two negative values, or -x, -y like the statement.
Answer:
x=2.7142 y=-2.8571,
Step-by-step explanation:
given 4x-8y=12............(1)
14+2x=-6y
2x+6y=-14..........(2)
from equ (2) multiply by 2
4x+12y=-28............(3)
substruct (1) and (3)
4x-8y-4x-6y=12-(-28)
-14y=40 ,y=
=-2.8571
y=-2.8571 put in equ (1)
4x-8(-2.8571)=12
4x=12-22.857=10.8571
x=
x=2.7142