Answer:
20/24. Simplified answer is 5/6
Step-by-step explanation:
5/8 divided by 3/4 is the same as asking 5/8 times 4/3
When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!
So, now we have 5/8 times 4/3
Step 1: Multiply the numerators together. 5 times 4 = 20
Step 2: Multiply the denominators together. 8 times 3 = 24
Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24
Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.
20 divided by 4 = 5
24 divided by 4 = 6
So, 20/24 is equal to 5/6.
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.
Answer:
21.98
Step-by-step explanation:
C=2πr C=2d are the formulas of circumference so that would mean the diameter of the circle is 7 since 2 times the radius is the diameter. We then multiply the diameter 7 by PI to get 21.98
Answer:
No
Step-by-step explanation:
3/4 of 59 is 44.25. More than 44 states need approve the constitution to be amended