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Naddika [18.5K]
3 years ago
8

Thats my question down there mates

Mathematics
2 answers:
Law Incorporation [45]3 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is

\frac{9}{72} = \frac{1}{8} = \frac{3x-20}{56} ( cross-  multiply )

8(3x - 20) = 56

24x - 160 = 56 ( add 160 to both sides )

24x = 216 ( divide both sides by 24 )

x = 9

Gnom [1K]3 years ago
3 0

Answer:

The value of x = 9

Step-by-step explanation:

From the figure

we can see that, the middle line segment is parallel to one side of the triangle.Therefore we can write,

9/72 = (3x - 20)/56

9*56 = 72(3x -20) [cross multiplying]

56 = 8(3x - 20) [divided by 9]

7 = 3x - 20 [divided by 8]

3x - 20 = 7

3x = 27

x = 27/3 = 9

Therefore the value of x = 9

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Question 1
8090 [49]

The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.

Explanation:

In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.

Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.

7 0
3 years ago
A rectangle has a perimeter of 18 cm.its length is 5 cm greater than its width.find the dimensions.
Marat540 [252]
P=18
l=5 cm greater than the width
w=5 less than the length

USE YOUR NUMBER SENSE!!! - just plug in different number below 4 to figure out the width

3=w  3+5=8 8+8=16+6=22    WILL NOT WORK

2=w   2+5=7  7+7=14   14+2+2= 18    WE HAVE A WINNER!!!!

FInal Answer: width: 2 cm and length: 7 cm
                          


5 0
3 years ago
Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12
borishaifa [10]
Implicit defferentation

remember that dy/dx y= dy/dx


so
take derivitive of both sides
2x+2y \space\ \frac{dy}{dx}=0
solve for \frac{dy}{dx}
minus 2x both sides
2y \space\ \frac{dy}{dx}=-2x
divide both sides by 2y
\frac{dy}{dx}=\frac{-2x}{2y}
\frac{dy}{dx}=\frac{-x}{y}

when is the slope equal to \frac{5}{12}
solve for \frac{dy}{dx}=\frac{5}{12}
\frac{dy}{dx}=\frac{5}{12}
\frac{5}{12}=\frac{-x}{y}
5y=-12x
y=\frac{-12}{5}x
find where the circle and this line intersects

substitute \frac{-12}{5}x for y
x^2+(\frac{-12}{5}x)^2=676
x^2+\frac{144}{25}x^2=676
\frac{25}{25}x^2+\frac{144}{25}x^2=676
\frac{169}{25}x^2=676
times both sides by \frac{25}{169}
x^2=100
sqrt both sides, take positive and negative roots
x=+/-10

sub back

y=\frac{-12}{5}x
y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)
y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}
y=-24 \space\ or \space\ 24

the points are (10,-24) and (-10,24)
8 0
3 years ago
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