Answer:
∠B = 17°
Step-by-step explanation:
Vertical angles are congruent, thus
5x + 7 = x + 15 ( subtract x from both sides )
4x + 7 = 15 ( subtract 7 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Hence
∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°
Answer:
1
Step-by-step explanation:
(f/g)(x)
= 
= 
← substitute x = 2 into the expression
= 
= 
= 
= 1
Answer:
y = -4x+4
Step-by-step explanation:
Pick two points on the line
(0,4) and (1,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0-4)/(1-0)
= -4/1 =-4
We know the y intercept is 4
The slope intercept form of the equation is y = mx+b where m is the slope and b is the y intercept
y = -4x+4
Sum means to Add.
So the sum of d and 9 would be d + 9
Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
