Answer:
You can prove that these triangles are congruent by SSS axiom.
Step-by-step explanation:
- The co-ordinates of points of triangle ABC are: A(-3,4), B(-4,1), C(0,3).
- Measure the length of every side of triangle ABC and DEF by using distance formula i.e. AB, BC, AC, DF, DE and EF.
- The co-ordinates of points of triangle DEF are: D(0,2), E(3,1), F(2,-2).
- By calculating the distance you can see that, BC=DF, AB=DE=AC=EF.
- Hence all three sides are equal that means the triangles are congruent by the SSS (side-side-side) axiom.
Answer:
A
Step-by-step explanation:
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Answer:
12565.11 teeth approximately cut cross the cutting surface per seconds.
Step-by-step explanation:
Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).
The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw
Number of teeth on saw = 12 x 10π = 120π.
To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.
So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33
Therefore, we have
33.33 x 120π ≈ 12565.11 teeth
Answer:
A - f
Step-by-step explanation:
Break each term down into its prime factors
7f^2 = 7 *f*f
12f = 2*2*3*f
The common term is f
Factor out the f
f(7f-12)
i think your answer is 201 because 3 times 67 is 201.