180
<span>3*60 </span>
<span>3*3*20 </span>
<span>3*3*4*5 </span>
<span>3*3*2*5 </span>
<span>which simplifies to 2^2*3^2*5
</span>
I hope I helped!
The answer is the first chart which would be A
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:
If point D(x, y) is 7/16 M to J, then:
x = (7/16)(4 - 20) + 20 = 13
y = (7/16)(17 - 1) + 1 = 8
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
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The measures of the angles are 59 degrees
<h3>How to determine the value of the angles?</h3>
The angles are given as:
Angle 1 = 2x + 17
Angle 2 = 3x - 4
By the interior angle theorem, the angles are congruent
So, we have
Angle 1 = Angle 2
Substitute the known values in the above equation
2x + 17= 3x - 4
Collect the like terms
3x - 2x = 17 + 4
Evaluate the like terms
x = 21
Substitute x = 21 in Angle 1 = 2x + 17
Angle 1 = 2 * 21 + 17
Evaluate
Angle 1 = 59
This means that
Angle 1 = Angle 2 = 59
Hence, the measures of the angles are 59 degrees
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