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Nutka1998 [239]
3 years ago
10

Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles.

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0

Answer: C

Step-by-step explanation:

Supplementary angles add up to 180

x + 83 = 180

x= 97

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A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt
vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0
3 years ago
How do I solve 18=6(2x-8)
lisabon 2012 [21]

Answer:

x=11/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
5. Jada is making circular birthday invitations for her friends.
Novosadov [1.4K]

Answer:

Step-by-step explanation:

Jada is making circular invitations

we have d=12 cm, the radius r=6

she needs to find out the circumference

C=2x3.14x r

C=2x 3.14x6=37.68

180/37.68=4.77

she can make just 4 invitations

5 0
3 years ago
Find element a23 if matrix A, if A=|2 -3 4|<br> |5 0 -6|<br> |7 2 -8|
Elis [28]

Answer:

  -6

Step-by-step explanation:

The notation a23 refers to the element in row 2, column 3. That element is -6.

5 0
3 years ago
2) Evaluate 9 X 364 – 9 X 125 – 9 X 39 without the use of your calculator
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Answer:

<em>9*364 - 9*125 - 9*39 = 1,800</em>

Step-by-step explanation:

<em>Mental Calculation</em>

If we detect known patterns in the calculations, we could easily give their results without the use of calculators.

We are given the expression to evaluate:

9*364 - 9*125 - 9*39

The first thing to note is the 9 is a common factor of all terms, thus we take it out:

9*(364 - 125 - 39)

The negative numbers can be easily added

     125

+     39

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

     164

Now our expression is much easier:

9*(364 - 164)

The subtraction of 364-164 is 200, thus the result of the operations is:

9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:

9*364 - 9*125 - 9*39 = 1,800

7 0
3 years ago
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