Answer:
constant of proportionality, k is 3
Step-by-step explanation:
constant, k= y/x
k=9/3
= 3
Hi, to find the area of the rectangle all you have to do is multiply the length times the width.
A = 80inches • 45inches = 3600
The linear equation in slope-intercept form can be written as:
y = 5*x + 6
<h3>How to find the linear equation?</h3>
A general linear equation in the slope-intercept form is:
y = a*x + b
Where x is the independent variable, y is the dependent variable, and a and b are constant real numbers, such that a is the slope and b is the y-intercept.
Here we know that the slope is 5, then we can replace a by 5.
And we know that the y-intercept is (0, 6), it means that b = 6.
Then the linear equation in slope-intercept form can be written as:
y = 5*x + 6
If you want to learn more about linear equations:
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Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
_____
Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
