Answer:
= n.
Step-by-step explanation:
Given : , b is any positive number not equal to 1 and n is any number.
To find : Evaluate the expression .
Formula used : 
. = y ∙ 
(x) and
![log_{b}(b) = 1.Solution : We have [tex]log_{b} b^{n}](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%29%20%3D%201.%3C%2Fp%3E%3Cp%3ESolution%20%3A%20We%20have%20%20%5Btex%5Dlog_%7Bb%7D%20b%5E%7Bn%7D)
.
By logarithm rule : . = y ∙ (x).
Then = n∙ (b).
By logarithm rule : ![log_{b}(b) = 1.Now, n∙ [tex]log_{b}](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%29%20%3D%201.%3C%2Fp%3E%3Cp%3ENow%2C%20n%E2%88%99%20%5Btex%5Dlog_%7Bb%7D)
(b) = n.
Therefore, = n.
Answer:
m1 = 62.5
m2 = 62.5
m3 = 55°
m4 = 75°
m5 = 50°
Step-by-step explanation:
m1: Sides 1 and 2 are congruent so angle will be the exact same as m2:
180° - 55° = 125 | 125 / 2 = <u>62.5°</u>
m2: same as m1; <u>62.5°</u>
m3: equivalent to <u>55°</u> due to its location
m4: angle of a line is 180° so 180° - 105° = <u>75°</u>
m5: angles of triangle add to 180° so 180° - (75° + 55°) = <u>50°</u>
Question 11 is b. hope it helps question 12 is a. 13 is b. 14 is also b
Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3
Answer:
0.19
Step-by-step explanation:
There are approximately .62 miles in a kilometer
