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slavikrds [6]
3 years ago
12

Last year there were 1,435 8th graders at a school. This year there are 1,220. What is the percent change in the number of 8th g

raders
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
Hello! So to solve this question, we can write and solve a proportion. We write the proportion as change/original = x/100, where change is the distance between two number and the original is the previous number. Percents are parts of 100, so x is a percentage out of 100%. 1,435 - 1,220 is 215. Now, set it up like this.

215/1,435 = x/100

Cross multiply the values to get 21,500 = 1,435x. Divide each side by 1,435 to isolate the "x". 21,500/1,435 is 14.9825783972 or 15 when rounded to the nearest whole number. The percent change in the number of 8th graders is about 15%.
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The perpendicular bisector theorem gives the statements that ensures

that \overleftrightarrow{FG} and \overleftrightarrow{AB} are perpendicular.

The two statements if true that guarantee  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB} are;

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Reasons:

The given diagram is the construction of the line \mathbf{\overleftrightarrow{FG}} perpendicular to line \mathbf{\overleftrightarrow{AB}}.

Required:

The two statements that guarantee that  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}.

Solution:

From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line \overleftrightarrow{AB}, therefore;

\overline{CE} = \mathbf{\overline{CD}} arcs drawn from the same radius.

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Therefore;

\overline{DF} = \overline{EF}  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

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