Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
2/22 to simplify 1/11 not sure though but I think that’s the answer u can double check though
Bfh ju yrdfhjjgfjkiytdcbnkl
Answer:
5 units
Step-by-step explanation:
If DG, EG and FG are perpendicular bisectors of the sides of triangle ABC, then point G is the circumcenter of the triangle ABC and
BG = AG = CG as radii of the circumcirle.
Consider right triangle BEG. By the Pythagorean theorem,

This gives us that
AG = BG = 5 units
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:

Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So

What is the probability of choosing a king and then, without replacement, a face card?

0.0181 probability of choosing a king and then, without replacement, a face card.