Answer:
See below.
Step-by-step explanation:
Ratios work like fractions. First we write the two ratios as fractions.
5/7 and 14/15
We can find a common denominator for these two ratios.
The LCD of the fractions is 7 * 15 = 105
Since 105/7 = 15, we multiply 15 * 5 = 75 to find the numerator.
5/7 = 75/105
Since 105/15 = 7, we multiply 7 * 14 = 98 to find the numerator.
14/15 = 98/105
75/105 is not equal to 98/105, so 5/7 is not equal to 98/105
Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.
Answer:
2/5+1/3=6/15+5/15=11/15
30.000+24.000+15.000 =69.000
Answer:
x=-1/5
double zero
Step-by-step explanation:
(5x+1)(5x+1)
x=-1/5
double zero
Answer: The correct answer is Choice B, 12.3 years.
A z-score of about -0.523 would corresponding to the area which divides the normal distribution at 70% and 30%.
Now, we just need to write and solve an equation for that z-score.
(x - 15) / 5.2 = -0.523
x - 15 = -2.7196
x = 12.283
We can round it to 12.3 years old.