Answer: BC = 54 <kjm=44
Step-by-step explanation:
1st 0ne-
if you look at it as 2 triangles with D being the shared side- I can determine that the angles are congruent (by SSA theorem)
so
6x=9x-27 (by corresponding parts of congruent Theorem)
-3x=-27
x=9
BC- 9(9)-27= 81-27=54
2nd one-
J bisects KJM
4x+6=3x+10
x=4
3(4)+10= 22
4(4)+6= 22
KJM= 22+22= 44
Step-by-step explanation:
We apply the log rule that states that if there is a number multiplied by a log, the number becomes exponent of the argument of the log:
3 = log(8) + log(x^3)
Now we have sum of logs. Another property tells us that 2 logs with the same base a, that are added together, are equal to the log in base a of the product of the arguments:
3 = log(8x^3)
Now for definition of log:
10 ^ 3 = x^3
Therefore:
x = 10
Answer:
See below ~
Step-by-step explanation:
Based on the Ideal Gas Equation,
Using T :
- V₁/T₁ = V₂/T₂
- 200/300 = 100/T₂
- T₂ = 100/200 x 300
- T₂ = 0.5 x 300
- T₂ = 150 K
Using P :
- P₁V₁ = P₂V₂
- 100 x 200 = P₂ x 100
- P₂ = 200 kPa
He can do this either by changing the temperature to <u>150</u> kelvins or by changing the pressure to <u>200</u> kilopascals.
There are two cups in a pint, so by logic of reason, yes, a pint is bigger than a cup.
Hope that helped =)
Answer: x=45°
Step-by-step explanation:
Angles opposite from each other are equal. The angle 160 degrees in red on the bottom encompasses two angles: BEG and CEG. Angle BEG is on the opposite side as FEA which means it is equal to x.
Since angle FED on the other side is 115, you subtract 115 from 160 to get 45 degrees.
Answer: x=45°
