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sergiy2304 [10]
3 years ago
7

the following image is a trapazoid.if XW is congruent YZ and measaure of m = 72 degrees. calculate the measure of X

Mathematics
2 answers:
AnnyKZ [126]3 years ago
6 0

Answer:

opposite angle of trapezoid is supplementary

<Z+<X=180°

<X=180°-72°

<x=108°

is your answer

kirza4 [7]3 years ago
4 0

ANSWER:

We know that the opposite angles of trapezoid are supplementary. So,

m∠X + m∠Y = 180°

m∠X + 72° = 180°

m∠X = 180° - 72°

m∠X = 108°

So, <u>Correct choice</u> - [A] 108°

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Five students wrote a mathematics test. The average mark was 68. If the marks for four of the students were 75, 62, 84 and 53, t
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Answer:

66

Step-by-step explanation:

Use the formula for the mean of a set of numbers:

                  sum of the numbers

average = --------------------------------

                     count of numbers

Here we know that the average mark was 68, so we can write:

               

                           75 + 62 + 84 + 53 + x

average = 68 = ----------------------------------

                                           5

or                            274 + x

                  68 = -------------------

                                    5

Solving for x, we multiply both sides by 5:     340 = 274 + x.

Subtracting 274 from both sides effectively isolates x:

 340 = 274 + x

- 274    -274

------------------------

  66      =    x

The fifth student's mark was 66.

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Step-by-step explanation:

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The sum of the two 5 digit numbers ABC10 + ABC12 is 123422. What is A + B + C?
Evgesh-ka [11]

Answer:

14

Step-by-step explanation:

We are given with two 5\ digit numbers whose first 3 \ digits are same.

It is given that their sum is 123422

adding the last two corresponding digits gives,

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Now adding the rest,

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1 \ carries\\B+B should not give anything to carry as that will make A in decimal to satisfy the addition.

Therefore,

B+B \ has \ to \ be 1+1=2,+ 1 \ carry=3

Thus B= 1

And finally,

A+A=12\\A=6

Thus A=6, B=1 \ and \ C=7

Now simplifying

A+B+C\\=6+1+7\\=14

Thus 14 is the answer.

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Answser:

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Step-by-step explanation:

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