A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
2 answers:
Set up the conversion factor like this:
The inches are in the denominator while the feet are in the numerator in the conversion factor. It's set up this way because the numerators and denominators have to be able to cancel out. In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet. The turtle walks 0.25 feet per second.
The inches are in the denominator while the feet are in the numerator in the conversion factor. It's set up this way because the numerators and denominators have to be able to cancel out. In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet. The turtle walks 0.25 feet per second.
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<h2>Answer:</h2>
First we must find the opposite-reciprocal of the original slope.
current slope:
new slope:
Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.
The y-intercept is .
Now, we can write the formula for the new line.
Slope-intercept form:
Point-slope form:
Answer:
(1) D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.
Step-by-step explanation:
1)
From the given figure it is noticed that
According to SAS postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.
The included angles of congruent sides are angle C and angle G.
So, condition "Angle C is congruent to to Angle F" will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.
2)
If
According to SSS postulate, if all three sides in one triangle are congruent to the corresponding sides in the other.
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.
3)
Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.
Therefore angle C and angle F cannot be congruent to each other.