So lets write this equation out. Let x be that number we are trying to find.
So five-sevenths is a fraction that is written like this
5/7
when you see the word "of" that means multiplication
so we can write the full equation.
(5/7)x = -35
now we can solve
Multiply both sides by 7
5x = -245
now divide by 5
and we get
x = -49
Protons is the answer that makes the most sense
Answer:
The range is from 147 to 153 orders per day
Step-by-step explanation:
orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.
That is, by 2%.
First, we need to find the decimal of 2%, so
2/100 = 0.02
We multiply this with the average number of order, 150, to get the varying amount:
0.02 * 150 = 3
Thus, the range would be:
150 - 3 = 147
150 + 3 = 153
The range is from 147 to 153 orders per day
Answer:
Step-by-step explanation:
Reasons
2. If two lines are parallel, their corresponding angles are congruent.
3. Congruent angles are equal... Why do they even have this step?
4. A straight line forms a linear pair.
5. Angles in a linear pair are supplementary.
6. ∠1 is supplementary to ∠3. Reason: If an angle is congruent to an angle that is supplementary to a third angle, the first and third angles are congruent OR Transitive Property.
Answer: 108 degrees
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Explanation:
Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle.
If we draw a line from A to C, it will pass through the center of the circle.
Therefore, arc AC is 180 degrees as this is half the distance around the circle.
minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108
minor arc CD is 108 degrees
