Answer:
d) m<ADC=44°
Step-by-step explanation:
7x-19=9x-37
-19+37=9x-7
18=2x
x=9
m<ADC=9x-37=9(9)-37=81-37=44
this is your answer, i hope this helps you
Answer:
Step-by-step explanation:
Convert the equation of a circle in general form shown below into standard form. Find the center and radius of the circle. Group the x 's and y 's together. Consider the x2 and x terms only. Complete the square on these terms. Replace the x2 and x terms with a squared bracket.
Step-by-step explanation:
![{ - z}^{6} \\ z = - 3](https://tex.z-dn.net/?f=%20%7B%20-%20z%7D%5E%7B6%7D%20%20%5C%5C%20z%20%3D%20%20-%203)
![- {( - 3)}^{6} \\ = - 1 \times ( - 3 \times - 3 \times - 3 \times - 3 \times - 3 \times - 3)](https://tex.z-dn.net/?f=%20%20-%20%20%7B%28%20-%203%29%7D%5E%7B6%7D%20%20%5C%5C%20%20%3D%20%20-%201%20%5Ctimes%20%28%20-%203%20%5Ctimes%20%20-%203%20%5Ctimes%20%20-%203%20%5Ctimes%20%20-%203%20%5Ctimes%20%20-%203%20%5Ctimes%20%20-%203%29)
= -1 × 729
= -729
Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>