5)x= 67° and y= 32°
(x-15)°=52°(vertically opposite angles)
=>x= 52+15° = 67°
Similarly, 4y= 128°(vertically opposite angles)
=>y=128/4= 32°
6) x= 5° , y= 22°
12x+15=75°(vertically opposite angles)
12x=75-15°
12x=60°
x= 5°
6y-27°=105°
6y= 105+27°
6y= 132°
y= 22°
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
t = 7
Step-by-step explanation:
You can use your knowledge of powers of 2, or you can use logarithms to find the value of t.
<h3>Powers of 2</h3>
2^1 = 2
2^2 = 4
2^4 = 16
128 = 16×4×2 = (2^4)(2^2)(2^1) = 2^(4+2+1) = 2^7
Now, the equation is ...
f(t) = 2^t = 2^7
Equating exponents, we have ...
t = 7
<h3>Logarithms</h3>
Taking the log of both sides of the equation ...
2^t = 128
we have ...
t×log(2) = log(128)
t = log(128)/log(2) = 7 . . . . . divide by the coefficient of t
The value of t is 7.
__
<em>Additional comment</em>
The relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
The relevant rule of logarithms is ...
log(a^b) = b×log(a)
Answer:
b = a² + 2a
Step-by-step explanation:
a + 1 = √(b + 1)
(a + 1)² = b + 1 (Square both sides)
a² + 2a + 1 = b + 1 (Expand left side)
a² + 2a = b (Subtract 1)