Answer:
Explanation
Step-by-step explanation:
Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.
Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:

Their sum is 59. So:

This is a system of equations. Solve by substituting the first equation into the second. Thus:

Combine like terms:

Subtract 5 from both sides:

Divide both sides by 2:

So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!
1.
Calculate the sum
5x - 10 + 7 = 65 - 20x + 32
Move terms
5x - 3 = 97 - 20x
Collect the like terms and calculate
5x + 20x = 97 +3
Divide both sides by 25
25x = 100
X= 4 ANSWER
I skipped some steps because it would be too long :/
2.
Multiply parenthesis by 8
20x>8(4x - 5) -20
Calculate
20x>32x - 40 - 20
Move variable to the left
20x>32x-60
Collect like terms
20x - 32x > -60
Divide both sides by -12
-12x>-60
X<5 ANSWER
Answer:
1/3
Step-by-step explanation:
To change from one base to another, we use the formula
Logb x = Loga x/Loga b
log1/9 (3^(1/3) /3)
log3 ((3^(1/3) /3))
-------------------------
log3 (1/9)
Log a /b = log a - log b
and 1/9 = 3^-2
log3 ((3^(1/3) ) - log3 (3)
-------------------------
log3 (3^-2)
log a^b = blog a
1/3 log3 (3 ) - log3 (3)
-------------------------
-2log3 (3)
We know log3 (3) =1
1/3 (1) - 1
-------------------------
-2 (1)
1/3 - 1
-------------------------
-2
-2/3
------
-2
Copy dot flip
-2/3 * -1/2
1/3
Answer:
3.4*10^1159
Step-by-step explanation:
2,000,000 x 10,000 x 170 x 10E1146
2,000,000 x 10,000 = 2*10^10
2*10^10*170 =340*10^10
Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent
3.4*10 ^ (10+2)
3.4*10^12
10E 1146 means 10*10^1146
This is really 1 * 10^(1146+1)
3.4*10^12 * 10^1147
We add the exponents
3.4*10^(12+1147)
3.4*10^1159