5 log x+3 log x^2
=log x^5+log x^(2×3)
=log x^5+ log x^6
=log (x^5×x^6)
=log x^(5+6)
=log x^11
Answer: log x^11
Answer:
B. The statement is false. This is true only if θ is an acute angle in a right triangle.
Step-by-step explanation:
Trigonometric ratio formula can only be applied to define the relationship between the angles of a right triangle and its side lengths.
Therefore, it is impossible to define or find the tan θ of "any triangle". It only applies to right angled triangles.
In the case of a right triangle, given a reference angle, θ, tan θ = side lenght opposite to θ ÷ side lenght adjacent to θ (tan θ =
.
A right triangle has two acute angles and 1 right angle that which is 90°.
Therefore, we can conclude that:
"B. The statement is false. This is true only if θ is an acute angle in a right triangle."
Answer:
Step-by-step explanation:
No, it's not always true
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
Take the common denominator and divide by 3 then youll get 58