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3 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

this one is supplementary and x equals 31

Step-by-step explanation:

Remember, complementary angles add up to equal 90 degrees whereas supplementary angles add up to equal 180 degrees.

In this case, since your angles together form a straight line, they're supplementary angles. Now, to solve for x:

(3x + 25) + 2x = 180 (step 1: set the equation equal to 180)

5x + 25 = 180 (step 2: combine like terms)

-25 -25 (step 3: subtrace 25, BS)

5x = 155

5x / 5 = 155 / 5 (step 4: divide by 5, BS to get x by itself)

x = 31

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An irregular pentagon is rotated 180 about the origin.which of the following statement is not true

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Three rational numbers between 5/31 and 6/31

Ludmilka [50]

Answer:

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

Step-by-step explanation:

What is a rational number? By definition, a rational number can be represented as the fraction of two integers.

The goal is to find three fractions in the form $\dfrac{p}{q}$ between $\dfrac{5}{31}$ and $\dfrac{6}{31}$ .

$\dfrac{5}{31} < \dfrac{p}{q} < \dfrac{6}{31}$ .

At this moment, there doesn't seems to be a number that could fit. The question is asking for three of these numbers. Multiple the numerator and the denominator by a number greater than three (e.g., five) to obtain

$\dfrac{25}{155} < \dfrac{p}{q} < \dfrac{30}{155}$ .

Since $p$ and $q$ can be any integers, let $q = 155$ .

$\dfrac{25}{155} < \dfrac{p}{155} < \dfrac{30}{155}$ .

$\implies 25 < p < 30$ .

Possible values of $p$ are 26, 27, and 28. That corresponds to the fractions

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

These are all rational numbers for they are fractions of integers.

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3 years ago

in a parking garage, the number of SUV's is 40 percent of the non SUV's. Gina counted 98 suv's in the parking garage. How many v

kondor19780726 [428]

You can find this answer multiple ways.

One way is to represent it as an equation and solve for x, The total number of vehicles.

0.4x = 98
x = 245 vehicles

Or write a proportion using the fraction for 40%.

2/5 = 98/x

5 x 49 = 245

There are 245 vehicles in the garage.

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3 years ago

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Answer:

Consider a class in which there are 40 students .There is a Mathematics test of 50 marks .Two students were absent.The Duration of test was for one and half an hour.

So Marks of students according to their roll number are 12,8,4,20,25,36,2,29,35,39,5,48,43,37,38,29,17,15,15,25,31,32,26,28,27,24,2,15,34,,50,46,48,37,28,26,45,49,24.

So in this case it would be better to prepare frequency polygon by selecting a class interval.

Class interval = 0-5,5-10,10-15,15-20,20-25,25-30,30-35,35-40,40-45,45-50.

Or 0-10,10-20,20-30,30-40,40-50.

or you can make class interval by yourself.

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