Step-by-step explanation:
1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.
2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)
3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)
4. that means that ΔADB ≅ΔCDB via SSS rule.
5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)
Hope this helps! :)
Answer: D is correctly written in scientific notation.
Step-by-step explanation:
The base has to be between 1 and 10.
A has a base of 16.4 which is greater than 9.
B is not even in scientific because the base it being raise to an exponent
C has 0.71 as base which is less that.
Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function
{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function
12 girls out of 30 were selected, so the ratio "selected:tried" if 12/30. This fraction can be simplified into

Similarly, 16 boys out of 40 were selected, so the ratio "selected:tried" if 16/40. This fraction can be simplified into

So yes, the ratio of the number of students on the team to the number of students trying out the same for both boys and girls