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3 years ago

Which statements are true? Check all that apply.

Mathematics

2 answers:

galina1969 [7]3 years ago

4 0

Answer:-

1. False. A square is always a rhombus.

2. True. When all sides are equal in a rectangle then it is square.

3. False. In parallelogram opposite sides are equal .But kite is grouped into two pairs of congruent sides that are adjacent to each other. Thus A parallelogram can never be a kite.

4.True. A rhombus with interior angle 90° is square.

5.True. A trapezoid is a quadrilateral who has two opposite sides which are parallel to each other but kite is grouped into two pairs of congruent sides that are adjacent to each other.It may not have one pair of opposite parallel sides. Only rhombus is a kite which can be trapezoid.

Brums [2.3K]3 years ago

4 0

Here are the correct answers
- A rectangle is sometimes a square.
- A square is always a rhombus.- A trapezoid is never a kite.

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A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

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7 0

2 years ago

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)}

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Domain is the x-coordinate and the range is the y-coordinate.

B. Domain: {7}

Range: {-4, -2, 1, 4, 6}

6 0

2 years ago

Find the solutions to the equation. Select ALL that apply.

alisha [4.7K]

Answer:

Step-by-step explanation:

-3y(2y+5)=0

-6y+15y=0

9y=0

y=0÷9

y=0

5 0

3 years ago

What is the end point and mid point

son4ous [18]

The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

We substitute the points given above to the formula as follows:

midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2

So, the midpoint is located at point 5/6, 3/2.

5 0

3 years ago

CAN SOMEONE MAKE SENSE OUT OF THIS. please i need explaining!!! Shawn's square living room needs new flooring. He needs 196 squa

natima [27]

Step-by-step explanation:

Shawn's living room is a square, so all four sides are the same length. Area of a square is A = s², and we know the area is 196 ft². If substitute this for A:

196 ft² = s²

Take square root of both sides:

s = √(196 ft²)

s = ±14 ft

Since measurements of lengths can't be negative, s must be +14 ft. So Shawn's living room is 14 ft x 14 ft.

3 0

3 years ago

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