Let x + 15 = total penguins
15/ (x +15) = .30
15 = .30x + 4.5
.30x = 10.5
x = 35
Total penguins = 15 + 35 = 50
Double Check
15 / 50 * 100 = 30% Correct!!!
Answer:
D) 4.7
Step-by-step explanation:
this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.
I assume 16 is the diameter, so the radius is 8.
therefore, x is one side of the right-angled triangle of
radius
x
half of the intersecting line
Pythagoras
8² = x² + (6.5)²
64 = x² + 42.25
21.75 = x²
x = 4.7
.65x=39
x=39/.65=60 just solve it as algebra
What do you need help with
Answer:
1. AB ~= DF
2. Definition of Congruent
3. Reflexive Property of Congruency
4 BD=BD
6. AB+BD=AD; DF+BD=BF
7. Substitution Property of Equality
8. Definition of Congruent
Step-by-step explanation:
1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).
2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.
3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.
4. Remember if something is congruent then it is equal.
6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.
7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.
8. If two things are congruent then they are equal by definition of congruency.
