Answer:
x = 58
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
90 = 32+x
Subtract 32 from each side
90-32 = x
58 =x
Answer:
x=1
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to −
2
+
2
y
=
5
.
Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is
Now, The sum of the numbers is
Let 
where k is an integer
Then, 
which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is 
, 2 is even.
The sum is 
, 6 is even.
The regression equation which correctly models the data in this table is y = 1.49x - 107.5,
<h3>How to determine the regression equation?</h3>
From the table of data values, we have the following parameters:
∑x = 632
∑y = 404
∑x² = 80.142
∑xy = 51.448
Mathematically, the regression equation is represented by the following slope equation:
y = Bx + A
Next, we would determine A by using this expression:
A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)
A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)
A = (32,377,368 - 32,515136)/(5×80142 - 399,424)
A = -137,768/1286
A = 107.5
For B, we have:
B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)
B = (5×51,448 - 632×404)/(5×∑x² - (632)²)
B = 1.49.
y = Bx + A
y = 1.49x - 107.5
Read more about regression equation here: brainly.com/question/28037520
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