Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
<span>Solution can be gained by using "Product of means = Product of extremes" concept. So the information we have is 23 miles on 1 gal and 135 mile on 'x' gal.
23 : 1 :: 135 : x
As per Product of means = Product of extremes,
23 multiplied x = 135 multiplied by 1.
And x will be 135 divided by 23 which is 5.86 gal
Now, we have to convert gal to liters, 1 gal = 3.78 liters,
so 5.86 gal = 5.86 multiplied by 3.78, which is 22.15 liters.
Hence, 22.15 liters of gasoline are needed for a 135 mile trip</span>
Answer:
C
Step-by-step explanation:
42x-54
Answer: B. SAS or/and E. HL
Step-by-step explanation:
The two triangles both have a right angle of 90 degrees and two sides that are congruent so, SAS (side-angle-side). It can also be by HL since they both have a hypotenuse (the 2 lines) and one leg (the 1 line) that are congruent to each other.
So the hypotenuse=10
Adjacent =5
Opposite=?
H^2=a^2+o^2
10^2=5^2+o^2
100=25+o^2
100-25=o^2
75=o^2 square root both sides we get
O=8.660254
Rounding to the nearest tenth
O=8.7
