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Nadusha1986 [10]
3 years ago
6

When 9 is subtracted from a number then divided by 2, the answer is 4. What is the number?

Mathematics
2 answers:
posledela3 years ago
6 0
x-\ number\\\\
\frac{x-9}{2}=4\ \ \ |Multiply\ by\ 2\\\\
x-9=8\ \ \ |Add\ 9\\\\
x=17\\\\Number\ is\ 17.
Fantom [35]3 years ago
5 0
(x-9):2=4 \\\\ x-9=4*2 \\\\ x-9=8 \\\\ x=8+9 \\\\ \boxed{x=17}
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Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

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Work Shown:

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I used the distance formula. Alternatively, you can plot the two points and form a right triangle. Then use the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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