Answer:
1. x = 86
2. x = 31
3. x = 64
4. x = 29
Step-by-step explanation:
1. 2x + 8 = 180
-8 -8
2x = 180 (divide both sides by 2 to get x by itself)
2. 3x - 3 = 90
+ 3 +3
3x = 93 (divide both sides by 3 to get x by itself. you divide because 3x is multiplying and you have to do the reverse operation)
3. 2x -5 + x - 7 = 180 (you combine like-terms)
3x -12 = 180
+12 +12
3x = 192 (you divide by 3 on both sides)
4. x + 1 + x + 4 + x - 2 = 90 (combine like-terms)
3x + 3 = 90
-3 -3
3x = 87 (divide both sides by 3)
Answer:
No, these triangles are not similar.
Step-by-step explanation:
Similar triangles have the same angle measures.
Knowing that the angles in a triangle add up to 180 degrees, find the missing angle, and you will see that the angles in the triangle are not congruent to each other, meaning that the triangles are not similar.
Answer:
Joey has no money in his account. He is now indebted for $66.75
Step-by-step explanation:
250.5 - 317.25 = -66.75
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
