Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Measures of angles are as follows:
125°, 15°, 40°
As we know the sum of all angles in a triangle is supplementary i.e. 180°.
∠A+∠B+∠C=180°
125°+15°+40°=180°
Therefore, it is satisfying the angle sum property.
So, it can form a triangle.
Now, we will check for uniqueness.
As similar triangles need two angles to be equal by AA criteria , their sides can vary with two equal angles.
Hence, there is possibility to have many possible similar triangles with angle measures.
Therefore, Option 'D' is correct.
Answer:
a -5/2 <=x
Step-by-step explanation:
5(x-2) <= 9x
Distribute the 5
5x -5*2 <= 9x
5x-10 <= 9x
Subtract 5x from each side
5x-5x-10 <= 9x-5x
-10 <= 4x
Divide by 4 on each side
-10/4 <=4x/4
-5/2 <=x
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -3/4
perpendicular line's slope is 4/3
#1: The slopes are the same, meaning they are parallel lines
#2: First isolate the "y" in the first equation
-4x + 5y = -5
5y = -5 + 4x
y = -1 + 4/5x They are not perpendicular because the slopes are 4/5 and -4/5
#3: Isolate "y" in the second equation
8y = 3x - 32
y = 3/8x - 4 They are perpendicular
#4: Isolate "y" is the 1st equation
10y = -9x
y = -9/10x They are parallel lines
The 3rd choice is your answer
Answer:
-6=m×5 +4
-6=5m +4
5m=-6-4
5m=-10
m=-10/5
m=-2
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