The rule for secants tells you
EC·ED = EB·EA
(x+4)(x+5) = (x+1)(x+12)
9x+20 = 13x+12 . . . . . . simplify, subtract x²
8 = 4x . . . . . . . . . . . . . . add -12-9x
2 = x
The value of x is 2.
Answer:
or 1.7 as a decimal (1.6 repeating)
Step-by-step explanation:
Answer:
19.21m is the diagonal
Step-by-step explanation:
We are looking for the diagonal, which makes it the hypotenuse of a right triangle, with the legs being 15 and 12
We can use the Pythagorean theorem
a^2 + b^2 = c^2
12^2 + 15^2 = c^2
144 +225 = c^2
369 = c^2
Take the square root of each side
sqrt(369) = sqrt(c^2)
19.209 =c
19.21 m = c
50 + 20h = 100 + 10h
20h - 10h = 100 - 50
10h = 50
h = 50/10
h = 5 <== they will charge the same at 5 hrs
Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 3y = - 54 ( subtract 9x from both sides )
- 3y = - 9x - 54 ( divide all terms by 0 3 )
y = 3x + 18 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
slope of parallel line is 3