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
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Answer:
the percentage of the students in the band that play a percussion instrument is 14.6%
Step-by-step explanation:
The computation of the percentage of the students in the band that play a percussion instrument is as followS;
= number of students played percussion instrument ÷ total number of students
= 6 students ÷ 41 students
= 14.6%
Hence, the percentage of the students in the band that play a percussion instrument is 14.6%
The same is relevant
It could be many things like 30 + 4 = 34
9.81 times 10 to the -5th power
Answer:
-7/18
Step-by-step explanation:
To multiply fractions, you just multiply the top number by the top number and the bottom number by the bottom number. Also, you have to watch the sign.
In this case, we have a positive fraction multiplied by a negative fraction, meaning that our answer must be negative.
So we have- 2x7 / 4x9.
This is simplified to be- 14/36, or 7/18.
However, the answer is actually -7/18, since the number must be negative.
Let me know if this helps.