Answer:
x= 113
y= 67
z= 49
Step-by-step explanation:
a triangle equals to 180° so lets start with the triangle that has two given degrees
28 + 39 + x = 180 solve
x = 113
no we can find y by using x + y = 180 since it's a straight line
we know the value of x so 113 + y = 180. solve.
y= 67
now do the same thing we did from the start since we have two given degrees on the other triangle.
67 + 64 + z = 180
z= 49
Answer: 14
Step-by-step explanation:
We arrange the number as -3, 1, 7, 8, 18, 19, 42, the old median is 8.
But the median has change to 11 when the number is add, which means that the number is between 7 and 18.
(8 + x)/2 = 11 Where x is the new number
8 + x = 22
x = 14
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
The histogram which represents the data set with the smallest standard deviation is: C. Squad 3.
<h3>What is a histogram?</h3>
A histogram can be defined as a type of chart that's used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.
Basically, standard deviation is a statistical tool which can be used to determine the measure of spread for the data represented in a histogram, especially based on the frequency of the specified ranges.
In this scenario, the histogram which represents the data set with the smallest standard deviation is Squad 3 because it has the least frequency on the y-axis.
Read more on histogram here: brainly.com/question/21304143
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Answer:
x=-48
Step-by-step explanation:
Add 4 to both sides and then multiply both sides by 3.