The statement that we can make that must be true about the sides of ΔDEF is: EF > DE > DF.
<h3>Triangle Sides and angles Relationship</h3>
- The length of the three sides of a triangle is relative to the measure of the size of the angle opposite to each of he sides.
- That is, the longest side will be directly opposite the largest angle and vice versa.
Thus, the statements about the sides of ΔDEF are missing, however, we can make the following deductions:
- m∠D = 103° is opposite to the longest side EF.
- m∠F = 63° (180 - 103 - 14) is opposite to the medium side DE
- m∠E = 14° is opposite to the shortest side DF.
Therefore, the statement that we can make that must be true about the sides of ΔDEF is: EF > DE > DF.
Learn more about the relationship between sides and angles of a triangle on:
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The SI system is based on the basic 10 scale where as with the imperial units there was no base scale. Most people refer to the Imperial scale as the queen picked up a rock and decided this rock weighs exactly on pound and picked up another and decided it was two. <span />
They are parallel because they have the same slope of 2.
<h3>How to determine the true statements about the segments?</h3>
The segments are given as;
AB => 6x - 3y = 9
CD => 4x - 2y = 8
We start by making y the subject of both equations
AB => 6x - 3y = 9
-3y = -6x + 9
Divide through by -3
y = 2x - 3
CD => 4x - 2y = 8
-2y = -4x + 8
Divide through by -2
y = 2x - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope of the line.
By comparing the three equations, we have:
m1 = 2
m2 = 2
Parallel lines have equal slopes.
This means that the lines AB and CD are parallel lines
Hence, they are parallel because they have the same slope of 2.
Read more about slopes at:
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Answer:
Step-by-step explanation:
The answer is b (1,-1)
Answer:
y = -5x - 21
Step-by-step explanation:
Given in the question,
equation of a parallel line
y = -5x + 6
point through which it passes
(-4,-1)
Step1
Find the gradient of the equation given, as it is parallel so it will have same gradient
equation of straight line
y = mx + c
where m is gradient
c is y intercept
y = -5x + 6
m =-5
Step2
Find y-intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -20 - 1
c = -21
Step3
form the equation
y = -5x - 21