Answer:
Step-by-step explanation:
8x + 12 = 3x + 5x + 12
8x + 12 = 8x + 12
Bringing like terms on one side
8x - 8x = 12 - 12
x = 0
The correct answer is 90 miles per hour
Explanation:
The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:
speed = distance ÷ time
distance = speed x time
distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)
distance= 30 miles
Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)
speed = distance ÷ time
speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)
speed= 90 miles per hour
Answer:
.D. 4√2 cm
Step-by-step explanation:
With reference angle 45°
base (b) = 4 cm
hypotenuse (h) = AC
Now
Cos 45° = b /h
1/√2 = 4 / AC
AC = 4√2 cm
So basically, you want to show why the two lines (m and n ) are the "same". To show this you would say <4 &<5 are also supplementary because it is the same as <3 & <6. I think this is what the question is asking. To prove this you use the Converse Theorem. Which is what I just showed you with the angles.
The area is 24
Adding all the squares together gives you the area, there are a total of 24 squares on this shape.
Hope this helped. Have a great day!