Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degreesYou answer is
D) 102
Answer:
10 and 30
Step-by-step explanation:
Let's focus on the first 2 parts of the hints :
The number must be even and a factor of 30 :
Let's write out the factors of 30 :
1 , 2 , 3 , 5 , 6 , 10 , 15 , 30
Now let's pick out the even ones :
2 , 6 , 10 , 30
Now let's take out the multiples of 5 :
10 and 30
These are the answers
Hope this helped and have a good day
Answer:
Quedan 153 sillas
Step-by-step explanation:
Primero sabemos que en una sala de teatro tenían 7 filas, y en cada una de esas filas habían 23 sillas.
Entonces, originalmente, el número total de sillas es 7 veces 23:
S = 7*23 = 161
Luego sabemos que quitan 8 de esas sillas, entonces el número de sillas que quedan es la diferencia entre el número original de sillas, 161, y 8, que nos da:
S = 161 - 8 = 153
Quedan 153 sillas
9514 1404 393
Answer:
-8, +9
Step-by-step explanation:
You need factors of (6)(-12) = -72 that have a sum of +1.
From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.
6x^2 +x -12
= 6x^2 +9x -8x -12
= 3x(2x +3) -4(2x +3)
= (3x -4)(2x +3)
