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lara [203]
3 years ago
14

In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 2 1​

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

The values of the variables x, y and z are; 9, 81 and 6 respectively

<h3>Rhombus Diagonals</h3>

According to the question;

  • All sides of the Rhombus are equal.

Hence, the Diagonals of the Rhombus are perpendicular bisectors of each other.

Therefore,

Angles 1, 2 and 3 are all equal to 90°, so that we have;

  • 10x = 90°

x = 9°

  • x + y = 90, where x=9

  • 9 + y = 90

y = 81°

  • 15z = 90

z = 6°

Read more on Rhombus Diagonals;

brainly.com/question/20627264

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from a set of seven math books, nine science books, and five literature books, in how many ways can a student select two from ea
Over [174]
There are 7 math books, 9 science books and 5 literature books. Student has to select 2 books from each set.

This is a combination problem.

Number of ways to select 2 math books from 7 books = 7C2 = 21
Number of ways to select 2 science books from 9 books = 9C2 = 36
Number of ways to select 2 literature books from 5 books = 5C2 = 10

Total number of ways to select 2 books from each set = 21 x 36 x 10 = 7560 ways.

So there are 7560 ways to select 2 books from each set of seven math books, nine science books, and five literature books
6 0
4 years ago
If the two triangles shown below are congruent, select the corresponding 1 point
nadya68 [22]

Answer:

SSS

Step-by-step explanation:

The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.

4 0
3 years ago
A jacket cost $35.50 more than a pair of tennis shoes if the total cost of both items is $161.30 find the cost of each
Mice21 [21]

Answer:

$62.9 and $98.4

Step-by-step explanation:

Let the cost of tennis shoe be x

Since a jacket cost $35.50 more than a pair of tennis shoe,

Then cost of jacket would be

= $35.50 + x

Total cost of both items would be;

x + $35.50 + x = $161.30

2x = $161.30 - $35.50

2x = $125.8

x = $62.9

Therefore, cost of pair of tennis shoe is $62.9

Jacket cost would now be

= $35.5 + x

= $35.5 + $62.9

= $98.4

6 0
3 years ago
Choose the symbol that correctly compares the fractions below.<br> 8/9 ? 1/9
gladu [14]

Answer:

Which means that this equation is also true: 8/9 > 1/9

Step-by-step explanation:

Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

1/9 = 0.111

Then, we compare the two decimal numbers to get the answer.

0.889 is not less than 0.111.

Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.

5 0
3 years ago
Herman is standing on a ladder that is partly in a hole.He starts out on a rung that is 6 feet under ground ,climbs up 14 feet,t
fomenos
Well lets try using negatives and positives, negatives for underground positives for above. -6 + 14 = 8 then 8 - 11 = -3. When Herman finally stops climbing he is 3 feet below ground level.
5 0
3 years ago
Read 2 more answers
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