The two angles (6x+4) and 32 degrees are complementary angles. They add to 90 degrees. The two angles are adjacent and form a right angle. The right angle marker is the square marker. Two adjacent right angles form a straight angle (180 degrees)
Add up the angles and set the sum equal to 90. Then solve for x
(6x+4) + (32) = 90
6x+4 + 32 = 90
6x+36 = 90
6x+36-36 = 90-36 .... subtract 36 from both sides
6x = 54
6x/6 = 54/6 ... divide both sides by 6
x = 9
Since x = 9, this means that
6x+4 = 6*9+4 = 54+4 = 58
So the missing angle is 58 degrees (note how 58+32 = 90)
Answer:
It will take 1.29 minutes for Jamaal to write a full page.
Step-by-step explanation:
This question is asking us for the unit rate. So, we must divide the numerator by the denominator in 18/14.
18 ÷ 14 = 1.29
This means that it will take 1.29 minutes for Jamaal to write a full page.
Hope this helps! :)
Answer:
0.6 hours
Step-by-step explanation:
Let's say J is Jen's speed (cake pops per hour), and let's say M is Maryna's speed (cake pops per hour).
Let's say there are 12 cake pops total that need to be made. Jen made half of the cake pops in 3 hours, so she made 6 cake pops in 3 hours. So her speed is 2 cake pops per hour.
Then, Jen and Maryna made the other half of the cake pops in 1/2 hour. Therefore, their combined speed is:
J + M = 6 cake pops / (1/2 hr)
J + M = 12
2 + M = 12
M = 10
So Maryna can make 10 cake pops per hour.
If Maryna was working alone, the amount of time it would take her to make 6 cake pops is:
6 cake pops / (10 cake pops per hour) = 0.6 hours
It would take 0.6 hours, or 36 minutes.
