Answer:
Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Step-by-step explanation:
Step 1: Consider triangle ABC from the picture attached below.
Lets find angle x
x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)
x = 100°
Angle x = Angle y = 100° (because vertically opposite angles are equal)
Step 2: Find angle 2
Angle 2 = 180 - angle x (because angle on a straight line is 180°)
Angle 2 = 180 - 100
Angle 2 = 80°
Step 3: Find angle z
48 + y + z = 180° (because all angles of a triangle are equal to 180°)
z = 32°
Angle 3 = 180 - angle z (because angle on a straight line is 180°)
Angle 3 = 180 - 32
Angle 3 = 148°
Step 4: Find angle 1
Angle 1 = 180 - 33 (because angle on a straight line is 180°)
Angle 1 = 147°
Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Option 2 is correct
!!
This pattern appears to alternate between doubling and subtracting by 1.
To get from 3 to 6, we multiply by two.
To get from 6 to 5, we subtract one.
To get from 5 to 10, we multiply by two.
To get from 10 to 9, we subtract one.
To get from 9 to 18, we multiply by two.
To get from 18 to 17, we subtract one.
Therefore, next we need to multiply by two.
17 x 2 = 34
So, the next number is 34.
To find the number after, we subtract one.
34 - 1 = 33
Thus, the number after is 33.
In conclusion, the next two numbers are 34 and 33.
Answer:
1) 
2) 
Step-by-step explanation:
Given : A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
To find : Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas ?
Solution :
A number cube with faces labeled from 1 to 6 will be rolled once.
The sample space describing all possible outcomes is given by
All of the outcomes for the event of rolling an odd number is given by
Answer:
x= 1/2 and -3/4
Step-by-step explanation:
By using factorization, we can solve this equation.
8x^2+2x-3=0
Factor:
(2x-1)(4x+3)=0
Solve:
2x-1=0
2x=1
x=1/2
Solve again:
4x+3=0
4x=-3
x=-3/4
Hope this helped
