Answer:
<h2>The answer is B. (x-2)</h2>
Step-by-step explanation:
First simplify the equation (2x-3)-(x-1)
=(2x-3)-x+1
=(2x+3)-x-1
=2x-3-x-1
=x-2
Answer:
17.54
Step-by-step explanation:
Answer:
When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.
Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Assume two sides of a triangle are:
And the angle between the two sides is:
When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:
Notice that the sides and angles do not change.
Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.
Step-by-step explanation:
The particle will reach 50 km/hr when x = 32.25 hours
Step-by-step explanation:
A physicist working in a large laboratory has found that light particles
traveling in a particle accelerator increase velocity in a manner that
can be described by the linear function - 4 x + 3 y = 21, where
- x is the time in hours
- y is the velocity in kilometer per hour
We need to find when a certain particle will reach 50 km/h
∵ - 4 x + 3 y = 21 is a linear function
∵ x represents the time (number of hours)
∵ y represents the velocity in km/h
∵ The velocity of a particle will reach 50 km/h
- Substitute y by 50 in the function above
∴ - 4 x + 3(50) = 21
∴ - 4 x + 150 = 21
- Subtract 150 from both sides
∴ - 4 x = -129
- Divide both sides by -4
∴ x = 32.25 hours
The particle will reach 50 km/hr when x = 32.25 hours
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