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4 years ago

Judging by appearances which figure is a trapezoid

Mathematics

2 answers:

solmaris [256]4 years ago

6 0

Answer:

<u>Option: C</u> is the correct answer.

Step-by-step explanation:

<em>We know that a trapezoid is a quadrilateral that consist of a pair of opposite parallel sides and a pair of opposite non-parallel sides</em>.

This figure is a hexagon as it consist of 6 sides and is not a quadrilateral and hence can't be a trapezoid.

Hence, option A is false.

Clearly from the figure we could see that both the pair of opposite sides are non-parallel.

Hence, figure B can't be a trapezoid.

Hence option B is false.

In figure D both the pair of opposite sides are parallel hence the figure is a parallelogram and not a trapezoid.

Hence, option D is false.

This figure is a trapezoid since it has one pair of opposite sides which are parallel and the other pair of opposite sides are not parallel.

Hence, option C is true.

weeeeeb [17]4 years ago

3 0

D is the correct answer because their is only one pair of parallel sides.

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The average height of 4 children is (15h-3). Two more children join the group with heights of (10h+46) centimeters and (14h-16)

oksian1 [2.3K]

Answer: 123.5 centimeters

Step-by-step explanation:

Let sum of observations be S and number of observations be n.

Average A= $\frac{\text{S}}{\text{n}}$

The average height of 4 children is (15h-3)

$(15h-3)=\frac{S}{4}\\\Rightarrow\ S=4(15h-3)\\\Rightarrow\ S=60h-45$

Also, when two more children join the group with heights of (10h+46) centimeters and (14h-16) centimeters the sum of heights of 6 children will be

$S+(10h+46)+(14h-16)=60h-45+10h+46+14h-16=84h-107$

Now, Average height of 6 students= $\frac{84h-15}{6}$

At h=9

Average height of 6 students= $\frac{84(9)-15}{6}=\frac{741}{6}=123.5\ centimeters$

3 0

4 years ago

Write an equation of the perpendicular bisector of the segment with endpoints Q(−2,0)

olga nikolaevna [1]

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Step-by-step explanation:

Given points are:

$Q(-2,0)\ and\ R(6,12)$

First of all, we have to find the slope of the given line

So,

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

$m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

$m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}$

The bisector will pass through the mid-point of QR

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)$

Slope-intercept form of equation is:

$y = m_2x+b$

Putting the value of slope

$y = -\frac{2}{3}x+b$

Putting (2,6) in the equation

$6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}$

So,

$y = -\frac{2}{3}x+\frac{22}{3}$

Hence,

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Keywords: Mid-point, equation of line

Learn more about equation of line at:

#LearnwithBrainly

3 0

3 years ago

(08.06 MC) Carly and Janiya put some money into their money boxes every week. The amounts of money (y), in dollars, in their mon

Pavel [41]

For this case we have the following equations:
y = 60x + 40
y = 50x + 80
Equaling both equations we have:
60x + 40 = 50x + 80
From here, we clear the value of x:
60x - 50x = 80 - 40
10x = 40
x = 40/10
x = 4 weeks
Substituting x = 4 in any of the equations we have:
y = 60 (4) + 40
y = 240 + 40
y = 280 $
Answer:
$ 280 4 weeks

5 0

3 years ago

Fill in the missing term on each line. Simplify any fractions.

yanalaym [24]

the answer is,......

d = 0

7 0

3 years ago

Kevin ordered 4 pizzas for a bday party. the pizza were cut in eighths. how many slices were there?

Ket [755]

32 slices of pizza. This is cuz 4*8=32

5 0

3 years ago