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kap26 [50]
3 years ago
10

Use the diagram and given information to answer the questions and prove the statement.

Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Consider triangles BXY and AZY. In these triangles:

  • \angle X\cong \angle Z - given;
  • \overline{XY}\cong \overline{ZY} - given;
  • \angle XYZ\cong \angle ZYA as right angles by reflective property.

Hence, \triangle BXY\cong \triangle AZY by ASA postulate (or by LA postulate).

Congruent triangles have congruent corresponding sides, so

\overline{XB}\cong \overline{ZA}

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Answer:

wdym

Step-by-step explanation:

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3 years ago
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A pair of shoes usually sells for $64. If the shoes are 20% off, and sales tax is 8%, what is the total price of the shoes, incl
Marina86 [1]

Answer:

$55.30

Step-by-step explanation:

4 0
3 years ago
Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.
Gelneren [198K]

Answer:

2, 3, 6

Step-by-step explanation:

Simply try each value using long division.

2:

Since 5,238 ends in an even number, that automatically means it is divisible by 2.

5238/2=2619

Now for 3:

5238/3=1746 no remainder or decimal, so 3 also works

4:

You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.

Long division 5238/4=1309.5 decimal here, so 4 isn't an answer

5:

This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.

6:

You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.

Long division: 5238/6=873

9:

You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.

1746/3=548 with a remainder of 2, which means 9 doesn't work

Long division: 5238/9=548.66 repeating

10:

Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.

5 0
2 years ago
(25x)°=(22×+9)° whas the answer
goldfiish [28.3K]

Answer:

x = 3  

Step-by-step explanation:

(25x)° = (22x + 9)°     Divide each side by 1°

  25x = 22x + 9          Subtract 22x from each side

    3x = 9                       Divide each side by 3

      x = 3

<em>Check: </em>

(25× 3)° = (22×3 + 9)°

      75° = (66 + 9)°

      75° = 75°

3 0
3 years ago
With a fair die, the probability of rolling any number 1 through 6 is the same.
yaroslaw [1]
The probability of all possible outcomes is always 1, meaning 100%.

In this case the probability of rolling a 1,2,3,4,5, or 6 is:

1/6+1/6+1/6+1/6+1/6+1/6

6(1/6)

6/6

1
7 0
3 years ago
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