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evablogger [386]
3 years ago
13

Find the values of​ x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; t

op, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

y+(3x+5)=180

y=180-3x-5

y=175-3x

Similarly,

z+(3x-5)=180

z=180-3x+5

z=185-3x

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

x+y+z=180

x+(175-3x)+(185-3x)=180

-5x+360=180

-5x=180-360

-5x=-180

Divide both sides by -5.

x=36

The value of x is 36.

y=175-3(36)

y=175-(108)

y=67

Now,

z=185-3(36)

z=185-108

z=77

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

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Answer:

FALSE

TRUE

TRUE

Step-by-step explanation:

For median,

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785

So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25

For May apply same concept and you get median to be 2.25.

Median difference is 3.25-2.25 = 1

Therefore, statement 1 is false and statement 2 is true.

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2 years ago
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Answer:

Rational

Integer

Whole

Real

Step-by-step explanation:

<u>Rational</u><u>:</u><u> </u>

The square root of 4 is 2, which is an integer (number without decimals). A number is only irrational if it has endless decimals after it.

<u>Integer</u><u>:</u>

A number without decimals

<u>Whole:</u>

A number without fractions; an integer.

<u>Real: </u>

Real numbers include whole numbers, rational numbers and irrational numbers- pretty much any number you can think of. The only numbers that ARENT considered real are imaginary numbers like √-1 and infinity.

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