Answer:
It equals -2
Step-by-step explanation:
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
Answer:
a. 20
b. 5
Step-by-step explanation:
The scale factor is 5 because 6×5=30
a. 4×5=20
b. 25÷5=5
Answer:

Step-by-step explanation:
The formula one would use for finding the volume of a rectangular prism is as follows:
- Volume = length × width × height ,

With this in mind, let's plug in the given variables in the question for this formula.



?
- We don't know the height, but that's just fine. We will plug in all our values and isolate
.

- I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

- Notice, that the units on the left side cancel out, leaving only the unit
left next to the solution. In the same way, the units on the right side cancel out too, leaving only
, height.

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

Hi there!
Your question:
8.5 + 49(1-2.5k)=24.5
My answer:
8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute
8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.
12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides
-10k = 12 >>>>>>>>> finally, divide -10 on both sides
k = -1.2
Hope this helps you!