Find the point P along the directed line segment from point A(-8,-3) to point B(6,12) that divides the segment in the ratio 1 to
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1 answer:
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Answer:
<h3>C. Scientific Notation</h3>Step-by-step explanation:
Since the number in question is greater than or equal to 1 but less than
10, we can choose any number between 1 and 10, lets take 3 for example.
If we take the product of 3 and an integer power of 10 number without regard to its sign, this can be expressed mathematically as shown;
where the power of 10 is -5. Note that any real number can be used as the power since we are not regarding the sign (Here we used -5). The expression formed according to the expression in question is a SCIENTIFIC NOTATION i.e
gives us a scientific notation.
<em>Scientific notation is a means by which we represent very large or small numbers that are difficult to represent using a decimal notation</em>
Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
- AD≅DC (since BD is median, then it divides side AC in two congruent parts);
- AE≅CF (given);
- ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).
By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
- side BD is common;
- DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
- BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).
Be SSS theorem, ΔBDE≅ΔBDF.
